{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Síntese de compensadores de avanço e atraso de fase pelo método do lugar das raízes\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# !pip install matplotlib ipympl jupyter" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib\n", "import matplotlib.pyplot as plt\n", "%matplotlib widget\n", "\n", "import numpy as np\n", "import control as ct\n", "\n", "s = ct.tf([1, 0], [1])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Paleta de cores\n", "cp = {\n", " 'red': (1.0, 0.349, 0.369, 1.0),\n", " 'green': (0.541, 0.788, 0.149, 1.0),\n", " 'blue': (0.098, 0.510, 0.769, 1.0),\n", " 'lred': (1.0, 0.588, 0.6, 1.0),\n", " 'lgreen': (0.722, 0.894, 0.443, 1.0),\n", " 'lblue': (0.369, 0.706, 0.918, 1.0),\n", " 'orange': (1.0, 0.506, 0.227, 1.0),\n", " 'yellow': (1.0, 0.792, 0.227, 1.0),\n", " 'pink': (1.0, 0.349, 0.611, 1.0),\n", " 'purple': (0.416, 0.298, 0.576, 1.0),\n", " 'turquoise': (0.098, 0.761, 0.769, 1.0),\n", " 'brown': (0.576, 0.380, 0.298, 1.0)\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Compensador de avanço de fase\n", "\n", "Um *compensador de avanço de fase* tem uma função de transferência da forma:\n", "$$ G_c(s) = \\frac{1 + Ts}{1 + \\alpha Ts} = \\frac{1}{\\alpha} \\frac{s + \\frac{1}{T}}{s + \\frac{1}{\\alpha T}} = \\frac{1}{\\alpha} \\frac{s - z_c}{s - p_c}\n", "\\quad \\text{com} \\quad\n", "0 < \\alpha <1\n", "$$\n", "\n", "Tal compensador adiciona ao sistema um polo, em $\\displaystyle s = p_c = -\\frac{1}{\\alpha T}$ e um zero em $\\displaystyle s = z_c = -\\frac{1}{T}$, com $p_c < z_c$, sem alterar o valor de $\\displaystyle K_m = \\lim_{s \\to 0} s^m L(s)$ do sistema.\n", "\n", "Observando sua *resposta em frequência*, nota-se que o *avanço de fase* ocorre em todo o espectro de frequência, tendo seu valor máximo dado por:\n", "$$ \\phi_m = \\arcsin\\left(\\frac{1-\\alpha}{1+\\alpha} \\right)\n", "\\quad \\text{em} \\quad\n", "\\omega_m T = \\frac{1}{\\sqrt{\\alpha}} \n", "$$\n", "Em termos de *ganho*, este tipo de compensador tem características de um filtro *passa-altas*: \n", "* não há praticamente nenhum aumento no ganho para $\\omega T \\ll 1$;\n", "* o ganho é amplificado em $\\displaystyle +10 \\ |\\log_{10} \\alpha| \\ \\text{dB}$ para $\\displaystyle \\omega_m T = \\frac{1}{\\sqrt{\\alpha}} $;\n", "* o ganho é amplificado em $\\displaystyle +20 \\ |\\log_{10} \\alpha| \\ \\text{dB}$ para $\\displaystyle \\omega T \\gg \\frac{1}{\\alpha}$.\n", "\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8e412099451e4359992bd38e4e44152e", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " Sisotool\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.ion() # ativar o modo interativo\n", "ct.sisotool((1+s)/(1 + 0.1*s), xlim_rlocus=(-12, 0), ylim_rlocus=(-6, 6),\n", " rlocus_grid=True, dB=True)\n", "plt.draw() # desenhar a janela interativa" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1.1. Síntese de um compensador de avanço de fase\n", "\n", "Consideremos novamente a função de transferência de malha aberta *do exemplo A-6-19 do livro* \n", "> OGATA, K. (2001) Modern Control Engineering, 4th ed., Pearson.\n", "\n", "que modela *piloto automático para o modo longitudinal (pitch) de um avião*:\n", "\n", "\\begin{align*}\n", " L(s) = G(s)H(s) = \\frac{K(s+a)}{s(s-b)(s^2 + 2\\zeta \\omega_n s + \\omega_n^2)} = K \\frac{N(s)}{D(s)}\n", "\\end{align*}\n", "com:\n", "\\begin{align*}\n", " & N(s) = (s+a) \\\\\n", " & D(s) = s(s-b)(s^2 + 2\\zeta \\omega_n s + \\omega_n^2)\n", "\\end{align*}\n", "\n", "Adote-se $a=b=1$, $\\zeta=0.5$ e $\\omega_n=4$:\n", "\n", "\\begin{align*}\n", " L(s) = \\frac{K(s+1)}{s(s-1)(s^2 + 4s + 16)}\n", "\\end{align*}\n", "\n", "Neste caso, o sistema é do tipo 1, tendo um zero em $z_1 = -1$ e quatro polos em $p_0=0$ (multiplicidade algébrica 1), $p_1=+1$ e $p_{2,3}=-2 \\pm 2\\sqrt{3} \\mathsf{j}$.\n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{s + 1}{s^4 + 3 s^3 + 12 s^2 - 16 s}$$" ], "text/plain": [ "TransferFunction(array([1., 1.]), array([ 1., 3., 12., -16., 0.]))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zeros = np.array([-1])\n", "poles = np.array([0, +1, -2 + (2j * np.sqrt(3)), -2 - (2j * np.sqrt(3))])\n", "\n", "N = ct.tf(np.poly(zeros), [1])\n", "D = ct.tf(np.poly(poles), [1])\n", "\n", "L_0 = N/D\n", "L_0" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e1f346671e6e4a5d9a8c48356421b038", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
\n", "
\n", " Sisotool\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.ion() # ativar o modo interativo\n", "ct.sisotool(L_0, xlim_rlocus=(-3, 2), ylim_rlocus=(-5, 5),\n", " rlocus_grid=True)\n", "plt.draw() # desenhar a janela interativa" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos tentar projetar um compensador de avanço de fase que leve os polos dominantes do sistema em malha fechada para a posição $\\bar p_{1,2} = -0.4 \\pm 1 \\ \\mathsf{j}$ " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0770329614269007, 0.3713906763541038)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clp_1 = -0.4+1j\n", "(np.abs(clp_1), -np.real(clp_1)/np.abs(clp_1)) # valores de (ω_n, ζ)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Usando a função de transferência do sistema não compensado $\\displaystyle L_0(s) = \\frac{N(s)}{D(s)}$ verifica-se que, para o polo $\\bar p_1 = -0.4 + 1 \\ \\mathsf{j}$ o valor de $\\phase{L_0(p_1)}$ é igual a:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "149.49431586213967" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "φ_L_clp1 = np.angle(L_0(clp_1)) \n", "φ_L_clp1 * 180/np.pi # exibe o resultado em graus" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ou seja, para que o polo desejado faça parte do lugar das raízes, é necessário um avanço de fase $\\varphi$:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "30.505684137860317" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "φ = np.pi - φ_L_clp1\n", "φ * 180/np.pi # exibe o resultado em graus" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Uma regra prática para a alocação do zero $z_c$ e do polo $p_c$ do compensador que maximiza o valor de $\\alpha$ (ou seja, maximiza o ganho em alta frequência) consiste em adotar:\n", "\n", "\\begin{align*}\n", "& z_c = \\text{Re}(\\bar p_1) - \\frac{\\text{Im}(\\bar p_1)}{\\displaystyle \\tan \\left(\\frac{\\bar \\psi_1 + \\varphi}{2} \\right)}\n", "\\\\\n", "& p_c = \\text{Re}(\\bar p_1) - \\frac{\\text{Im}(\\bar p_1)}{\\displaystyle \\tan \\left(\\frac{\\bar \\psi_1 - \\varphi}{2} \\right)}\n", "\\end{align*}\n", "\n", "com $\\bar \\psi_1= \\phase{\\bar p_1}$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.7413327395776523" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "z_c = np.real(clp_1) - np.imag(clp_1)/np.tan(0.5 * (np.angle(clp_1) + φ))\n", "z_c" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-1.5647494546927314" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p_c = np.real(clp_1) - np.imag(clp_1)/np.tan(0.5 * (np.angle(clp_1) - φ))\n", "p_c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Assim, os valores de $T$ e $\\alpha$ podem ser calculados como:\n", "$$\n", "T = - \\frac{1}{z_c} \\quad \\text{e} \\quad \\alpha = \\frac{z_c}{p_c}\n", "$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.3489219437006303, 0.47377088859457517)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "α = z_c/p_c\n", "(- 1/z_c, α)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A nova função de transferência de malha aberta, com o compensador de avanço projetado, é dada por:\n", "$$\n", "L_1(s) = K_c \\underbrace{\\frac{1}{\\alpha} \\frac{(s - z_c)}{(s - p_c)}}_{\\text{avanço}} \\frac{N(s)}{D(s)}\n", "$$\n", "\n", "O ganho $K_c$ para que $\\bar p_{1,2}$ sejam efetivamente polos em malha fechada pode então ser calculado a partir da condição $L_1(\\bar p_1) = -1$, ou seja:\n", "\n", "$$\n", "\\frac{K_c}{\\alpha} \\left| \\frac{(\\bar p_1-z_c)}{(\\bar p_1-p_c)} \\frac{N(\\bar p_1)}{D(\\bar p_1)} \\right| = 1\n", "\\quad \\Rightarrow \\quad \n", "K_c = \\alpha \\left| \\frac{(\\bar p_1-p_c)}{(\\bar p_1-z_c)} \\frac{D(\\bar p_1)}{N(\\bar p_1)} \\right|\n", "$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{2.111 s^2 + 3.675 s + 1.565}{s^5 + 4.565 s^4 + 16.69 s^3 + 2.777 s^2 - 25.04 s}$$" ], "text/plain": [ "TransferFunction(array([2.11072488, 3.67547433, 1.56474945]), array([ 1. , 4.56474945, 16.69424836, 2.77699346,\n", " -25.03599128, 0. ]))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L_1_1 = 1/α * (s - z_c)/(s - p_c) * N/D\n", "L_1_1" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.06562698253742492+3.423918520448505e-17j)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L_1_1(clp_1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "15.237634907710905" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K_c = 1/np.abs(L_1_1(clp_1))\n", "K_c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Assim, temos o seguinte compensador de avanço:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s + 23.84}{s + 1.565}$$" ], "text/plain": [ "TransferFunction(array([32.16245505, 23.84308091]), array([1. , 1.56474945]))" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G_lead = K_c/α * (s - z_c)/(s - p_c)\n", "G_lead" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Diagrama de Bode do compensador sintetizado:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d6182a8c419d4206ac1e28d6b374addb", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "G_lead_M, G_lead_φ, G_lead_ω = ct.bode_plot(G_lead,\n", " omega=np.logspace(-1.5, 1.5, 5001),\n", " color=cp['red'],\n", " dB=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Análise da função de transferência em malha aberta do sistema com compensador:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s^2 + 56.01 s + 23.84}{s^5 + 4.565 s^4 + 16.69 s^3 + 2.777 s^2 - 25.04 s}$$" ], "text/plain": [ "TransferFunction(array([32.16245505, 56.00553596, 23.84308091]), array([ 1. , 4.56474945, 16.69424836, 2.77699346,\n", " -25.03599128, 0. ]))" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L_1 = G_lead * L_0\n", "L_1" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3ab1f96232f346dda3a8c11935c5e860", "version_major": 2, "version_minor": 0 }, "image/png": 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\n", " Sisotool\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.ion() # ativar o modo interativo\n", "ct.sisotool(L_1, xlim_rlocus=(-3, 2), ylim_rlocus=(-5, 5),\n", " rlocus_grid=True)\n", "plt.draw() # desenhar a janela interativa" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1.2. Função de transferência entre referência (r) e saída (c)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s^2 + 56.01 s + 23.84}{s^5 + 4.565 s^4 + 16.69 s^3 + 34.94 s^2 + 30.97 s + 23.84}$$" ], "text/plain": [ "TransferFunction(array([32.16245505, 56.00553596, 23.84308091]), array([ 1. , 4.56474945, 16.69424836, 34.9394485 , 30.96954469,\n", " 23.84308091]))" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rc_tf_lead = ct.feedback(G_lead * L_0)\n", "rc_tf_lead" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Frequencias naturais, fatores de amortecimento e zeros em malha fechada:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([3.01952093, 3.01952093, 2.25438609, 1.07703296, 1.07703296])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ω_n_cl, ζ_cl, zeros_cl = rc_tf_lead.damp()\n", "ω_n_cl" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.25009983, 0.25009983, 1. , 0.37139068, 0.37139068])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ζ_cl" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0.75518168+2.92356072j, -0.75518168-2.92356072j,\n", " -2.25438609+0.j , -0.4 +1.j ,\n", " -0.4 -1.j ])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zeros_cl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Diagrama de Bode da função de transferência do sistema em malha fechada:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "308ebd15f3a74932b146b8fadf2d0053", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "rc_tf_M, rc_tf_φ, rc_tf_ω = ct.bode_plot(rc_tf_lead,\n", " omega=np.linspace(0.01, 50, 1001),\n", " color=cp['red'],\n", " dB=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1.3. Função de transferência entre referência (r) e entrada de controle (u)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s^5 + 120.3 s^4 + 457.5 s^3 - 228.5 s^2 - 381.5 s}{s^5 + 4.565 s^4 + 16.69 s^3 + 34.94 s^2 + 30.97 s + 23.84}$$" ], "text/plain": [ "TransferFunction(array([ 32.16245505, 120.33044606, 457.47870332, -228.48230982,\n", " -381.4892946 , 0. ]), array([ 1. , 4.56474945, 16.69424836, 34.9394485 , 30.96954469,\n", " 23.84308091]))" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ru_tf_lead = ct.feedback(G_lead, L_0)\n", "ru_tf_lead" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e624f46716414c128be9fe355369af73", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "ru_tf_M, ru_tf_φ, ru_tf_ω = ct.bode_plot(ru_tf_lead,\n", " omega=np.linspace(0.01, 50, 1001),\n", " color=cp['red'],\n", " dB=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1.4. Resposta a degrau" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "71e32d7d152e4d42b2cfbca4ebf607b1", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# simulação do sistema em MF\n", "ts = np.linspace(0, 25, 1000)\n", "\n", "t, y = ct.step_response(rc_tf_lead, ts)\n", "t, u = ct.step_response(ru_tf_lead, ts)\n", "\n", "fig, (state, control_input) = plt.subplots(\n", " 2, 1, figsize=(5, 7), sharex=True)\n", "\n", "state.plot(t, np.ones(len(t)), color=cp['yellow'], label='r', linewidth=2)\n", "state.plot(t, y,\n", " color=cp['red'], label=r'comp. avanço', linewidth=2)\n", "state.set_ylabel(r'$c$')\n", "state.set_xlabel(r'$t$ (s)')\n", "state.legend()\n", "state.grid()\n", "\n", "control_input.plot(t, u,\n", " color=cp['red'], label=r'comp. avanço', linewidth=2)\n", "control_input.set_ylabel(r'$u$')\n", "control_input.set_xlabel(r'$t$ (s)')\n", "control_input.legend()\n", "control_input.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1.5. Resposta a rampa" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "19ec2078b7a747c38759f64da2db331c", "version_major": 2, "version_minor": 0 }, "image/png": 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u7PX1nH766cawYcNcz6uqqowWLVoYr776qmEYhrFz504DMB599FHXNjabzUhPTzeys7MbVJuePXsaixYtcj3v27ev8fDDD7uez5w50xg0aJDf91dVVRkJCQnGe++95xoDjPvvv9/1vLS01LBYLMaHH37o+syuXbsalZWVPj8zLS3NmDNnjtfYoEGDjClTpvjc/tjvp8rKSuPtt9/2+/nhSnXxr9Frs3OXYdyfbRhX/8H954ZrDWNJlmGsH2IYXw0xjG03GsaRHxrn76+nQNXFXxY0RzqHXlezHoLiYq8hiwGJhh2LJcLR6dkYWrWCObNPuNn3339PRUUFo0eP9vt6v379aNGihWts6NCh2O12duzY4dqT79WrFxER7gM3KSkp9O7d2/U8MjKSpKQkCgoKvD5/8GD3NadRUVEMGDCAH374oW5fI3DkyBFmz57N+++/T15eHlVVVZSXl7v20MGxl/7CCy/wwAMPYBgGr776KlOnTnW9XlBQwIMPPsinn37Kb7/9RnV1NWVlZV6fAY7D9E4tWrQgISHB9fVs2bKFYcOGER0dXWuOJSUl5OXlMXToUK/xoUOH8s0339T5axUJCUcraprePvbf9BYR71jprf2lanprBhTodVVcDIVFXkMWGi/HT1ZcXNxxXzcMA4vF92w9x48NMovF4nPM7vkPgB/+/j5fpk+fzscff8zjjz9Ot27diIuL4/LLL6eystK1zTXXXMN9993Hpk2bKC8vZ+/evVx11VWu1ydPnsz+/ftZuHAhnTt3xmq1MnjwYK/P8Pc1Or+eE9XR19d1vNqKhKTN38CLL8GBA+6xtjYY/RukO5veRkGnu3SevBlRoNdVq1a1hgwDjJo99Eb799zH3+tLZmYmcXFx/POf/+TGG2+s9XrPnj1ZsmQJR44cce2lf/HFF0RERHDaaac1eJpffvklw4cPB6CqqopNmzZxww031Pn9a9asYfLkyVx22WWA45z6rl27vLZJT09n+PDhLF26lPLycs477zzXkQXnZ/ztb39j3LhxAOzdu5cDnv9g1UHfvn1ZsmQJNputVvAnJiaSlpbG2rVrXV8rwLp16zjzzDNP6u8RCYqiInhpKazf4B6L9FjpLQqISalZ6W2o34+R0KRArysfh70Nu52SkhISExOxRAS3vzA2NpZ7772XGTNmEBMTw9ChQ9m/fz/btm3jhhtuYOLEiTz00ENMmjSJ7Oxs9u/fzx133MF1113nFYr19fTTT5OZmUmPHj148sknKSoq4tprr3W93r17d+bNm+cK7GN169aN5cuXM378eCwWCw888IDPowATJ04kOzubyspKnnzyyVqf8fLLLzNw4EBKSkqYPn16nfa4Pd1+++0sWrSIq666ipkzZ9KqVSu+/PJLzjzzTE4//XSmT5/OQw89xKmnnsoZZ5zBiy++yJYtW1i6dOlJ/T0iTcpuh39+Bq+9CeXl7vGMMhi9H9rYcKz0dmXNSm/xQZuq1J8C3UQeeOABoqKiePDBB8nLy6NDhw7ceuutAMTHx/Pxxx9z1113MWjQIOLj4/mv//ovFixYEJC/+9FHH2X+/Pls3ryZU089lRUrVpCUlOR6fceOHRQf04Pg6cknn+T6669nyJAhJCcnc++991JSUlJruyuuuII77riDyMhILr30Uq/XXnjhBW6++Wb69+9Pp06dmDt3Lvfcc89JfR1JSUl8+umnTJ8+nUGDBgEwbNgw13nzO++8k5KSEu6++24KCgro2bMn7777LpmZmSf194g0md17HLc3/cl9hQhxNSu9dXeu9Naj5vamDT9aJ8FjMQzP+96Fj5KSElq1akVxcTGJiYmu8aNHj7Jz5066du1KbOzx1yO2e+yhRwR5Dz1Ydu3aRdeuXdm8eTNnnHGGa9wMtSktLWXUqFGsW7fOZ5NcXRz7/WSz2Vi5ciXjxo2r92eakeriX71rc7QClr8NKz/ybnrrVQLDDjhCPSIe0m+B9pc1u6a3QH3P+MuC5kh76CI+7Nq1i6qqKvbv3893331H//79gz0lkbrbUtP0tv94TW8jodNUNb2ZiAJdxIfFixczd+5c+vfvH5CmQZEmUXQIXl4KX37lHos04MxCGOjZ9DYNWp8TrFlKI1GgS4N06dIFM561yc7OJjs7O9jTEKmbOjW9RUDKldDxBjW9mZQCXUSkOduz13F702Ob3obvhx6HHU1v8d0dTW8tTg/aNKXxKdBFRJqjigpY/o6j6a262j3u1fQWV9P0NqHZNb3JyVOg+2HGw8jS9PR9JI3im2/hhZdg/373WBub4/amGTWH3FsPh85/hpj2wZmjNDkF+jGclz+UlZWd9KIkIscqKysDai83K1Ivhw7BS8vgy/XusUgDBhXCoJqmt+j2jqa3NsOCNUsJEgX6MSIjI2ndurXrZh3x8fF+1+m22+1UVlZy9OjRZnutdWMJ99oYhkFZWRkFBQW0bt2ayEgd7pQGMAwiPlsFb7wFNb8kApBe0/TW1tn0dkVN01sLvx8l5hVygV5VVUV2djZLly4lPz+fDh06MHnyZO6//35XMBiGwezZs3n22WcpKirirLPO4umnn6ZXr14BmUNqaipArTuKHcswDMrLy4mLi9PNOY6h2ji0bt3a9f0kUi//+ZVh/1xF5MFC91icHYbth57OprfTa5reugdtmhJ8IRfo8+fP53//939ZsmQJvXr14uuvv+aPf/wjrVq14q677gLgscceY8GCBSxevJjTTjuNRx55hDFjxrBjxw4SEhIaPAeLxUKHDh1o3749NpvN73Y2m43Vq1czfPhwHVI9hmrjOMyuPXOpt4oKWPEOUR98RFvPpreeJTDco+mt482QMgEsIffPuTSxkPsO+Ne//sUll1zChRdeCDiuc3711Vf5+uuvAcee38KFC5k1axYTJkwAYMmSJaSkpLBs2TJuueWWgM0lMjLyuP8gR0ZGUlVVRWxsbNiGlj+qjUgDfLMVXlwCBftdt2g22tiwHNv01mkqWBt+cyUxh5A7uXnOOefwz3/+kx9++AGAb775hrVr17puiblz507y8/PJyspyvcdqtTJixAjWrVsXlDmLiATEoUPw1DMw/3EocHSwG5EGnF2I5do9jjCPbg/d5kHmPIW5eAm5PfR7772X4uJiunfvTmRkJNXV1cyZM4err74agPz8fIBat/xMSUlh9+7dfj+3oqKCiooK13PnnbxsNttxD6sfj/N99X2/mak2vqkuvoV9Xex2LKvWEPnGW1g8mt6M9HLHXnlbGwYR2JMnYO9Qs9JbuNaqRqC+Z8z0PRdygf7666/zyiuvsGzZMnr16sWWLVuYOnUqaWlpTJo0ybXdsY1WhmEct/lq3rx5zJ5d+57mOTk5xMc3bBnE3NzcBr3fzFQb31QX38KxLgmHiun39WaSPJrejFg7luH7sdQ0vR2qTOGb4iwO5XWAbz8P3mRDUEO/Z8o8rxpo5kLu9qkZGRncd9993Hbbba6xRx55hFdeeYV///vf/PLLL5x66qls2rTJ6w5Yl1xyCa1bt2bJkiU+P9fXHnpGRgYHDhyo9y3zbDYbubm5jBkzRueJj6Ha+Ka6+BaWdamsJOLd94lY+TEWz6a3HjVNb/F2jIhYbO3/yEebWnDemLHhU5s6CNT3TElJCcnJybp9amMoKyurdd1yZGQk9pr7+Xbt2pXU1FRyc3NdgV5ZWcmqVauYP3++38+1Wq1YrdZa49HR0Q3+IQnEZ5iVauOb6uJb2NRl63fw/GLXeXLAsdLbuQXQydn0NhRLp2lYIpIwWBk+tTlJDa2LmWoacoE+fvx45syZQ6dOnejVqxebN29mwYIFXH/99YDjUPvUqVOZO3cumZmZZGZmMnfuXOLj47nmmmuCPHsRkeMoLoGXl8G6f7nHInCs9HZmEUQZEN3OsWRr6+FgsYT9uXKpu5AL9EWLFvHAAw8wZcoUCgoKSEtL45ZbbuHBBx90bTNjxgzKy8uZMmWKa2GZnJycgFyDLiIScHY7rFoNy96AI0fc4x3LHeuvJ9kAC7S/AtJv0kpvUi8hF+gJCQksXLiQhQsX+t3GYrHoftUi0jz851fH4fUdP7jHYmtWeuvlXOntNOg8A1r2CNYsxQRCLtBFREyhshLefhfeW+l9e9MeJTD8IMRXQ0QsdLwJUi7XSm/SYPoOEhEJtK3b4IXF8JvH/SBa1zS9da5pems11HFXNKvW+pfAUKCLiARKcQksfRXWeqxaWavpLRk6/RnajHA0vYkEiAJdRKSh7HZYtQaWve7d9JZWDud5Nr39F6TfoqY3aRQKdBGRhvg1D55/Ef59nKa3uG7Q5V5o2TNo0xTzU6CLiNRHZSW88z68+75301v3wzDigEfT242QcoWa3qTR6TtMRORkfbcNXlgC+b+5x1pXwbm/eTS9DYHOd6vpTZqMAl1EpK5KSuAVH01vAwvhLGfTW1JN09tINb1Jk1Kgi4iciGHUNL29BqXHNL2N3g/JlTia3iZAx1sgqmXQpirhS4EuInI8v+Y5Vnr79w73mNUOww5A7xKPprcZ0LJXsGYpokAXEfGpstLR8PaOj6a34QegRTVEWCHtBkj5PUTon1MJLn0Hiogca9v3jpXe9uW7x1pVwWjPprfBNU1vHYIyRZFjKdBFRJxKDjvOk69e6x6LAAYUwtmeTW9Toc0oNb1JSFGgi4gYhiPEl74GpaXu8Q5HHSu9qelNmgEFuoiEt7x9jqa37//tHrMacM5+6ONseju1pumtd7BmKXJCCnQRCU82m3ult6oq9/jpNSu9qelNmhl9h4pI+Nn+vWOv/Nimt3MLoEtZzfOza5re0oIyRZGTpUAXkfDht+mtCM4qhGgDotpCp7ug7Wg1vUmzokAXEfMzDFjzhWPZVr9Nb0C7SyH9VohKCMo0RRpCgS4i5rYv33F4ffv37jGrAUP3Q19n09spNbc3VdObNF8KdBExJ5sN3vsA3n7Pu+nttJqmt5bOprfrIeUqNb1Js6fvYBExn+//DX9fDPv2uccSa5reutY0vSWe5Wh6i+0YlCmKBJoCXUTM43Cpo+lt1Rr3mAVH09vZanoTc1Ogi0jzZxiOe5S/8iocPuweT61pemvnbHq7pKbpLTE48xRpRAp0EWne9uXDC0tg23b3WIzHSm8RQFxX6DwDEvoGbZoijU2BLiLNk80G762Ed95zPHbybHqzxEBHZ9NbdPDmKtIEFOgi0vx8/2/HXvmvee6xWk1vZ9Y0vaUHZ44iTUyBLiLNR2kpLHsdPl/tHrMAvyuCwc6mtzY1TW/nqelNwooCXURCn2HAFzVNbyXHa3q7GNL/pKY3CUsKdBEJbf6a3oYegL7Fjqa32C6O25sm9AvWLEWCToEuIqGpqgreXwkr3vVuessshZH73U1vaZMh9Ro1vUnYU6CLSOj59w/w/IveTW8JNU1vpzib3gZB53vU9CZSQ4EuIqGjtBT+sQI+W+Ueq9X01rqm6W2Mmt5EPEQEewK+/Prrr1x77bUkJSURHx/PGWecwcaNG12vG4ZBdnY2aWlpxMXFMXLkSLZt2xbEGYtIgxgGHXfvJWrmA95hnlIB1+yB4QcdYZ48Hvq8CklZCnORY4TcHnpRURFDhw5l1KhRfPjhh7Rv356ff/6Z1q1bu7Z57LHHWLBgAYsXL+a0007jkUceYcyYMezYsYOEBN3HWKRZ+e03Iv++mIEnbHqbDglnBGmSIqEv5AJ9/vz5ZGRk8OKLL7rGunTp4npsGAYLFy5k1qxZTJgwAYAlS5aQkpLCsmXLuOWWW5p6yiJSH1VV8P6HsOIdIjyb3rqVwijPprdJkDpRTW8iJxByh9zfffddBg4cyBVXXEH79u3p378/zz33nOv1nTt3kp+fT1ZWlmvMarUyYsQI1q1bF4wpi8jJ+vcPMPMBeOMfrg52o2UVXJwH4/MdYZ44EHq/5OhiV5iLnFDI7aH/8ssvPPPMM0ybNo3/9//+H1999RV33nknVquVP/zhD+Tn5wOQkpLi9b6UlBR2797t93MrKiqoqKhwPS8pKQHAZrNh89w7OAnO99X3/Wam2vgW9nU5coSIN94i0mOlN8MClv5FWAYXQoyBEdmK6o63YbSpaXoL11rVCPvvGT8CVRcz1TXkAt1utzNw4EDmzp0LQP/+/dm2bRvPPPMMf/jDH1zbWY5piDEMo9aYp3nz5jF79uxa4zk5OcTHxzdozrm5uQ16v5mpNr6FXV0Mg457/kPvzd8S7fGLtZFyFMvo/Y7mN2D3kT5sKxmJbW8V8GGQJhuawu57po4aWpeysrIAzST4Qi7QO3ToQM+ePb3GevTowVtvvQVAamoqAPn5+XTo0MG1TUFBQa29dk8zZ85k2rRpruclJSVkZGSQlZVFYmL9lom02Wzk5uYyZswYoqN1SNCTauNbWNalYD+RL71CxFb3lShGjIFlyAEs/RxNb/aYDNblncPvRlzPmHCpSx2F5fdMHQSqLs6jtWYQcoE+dOhQduzY4TX2ww8/0LlzZwC6du1Kamoqubm59O/fH4DKykpWrVrF/Pnz/X6u1WrFarXWGo+Ojm7wD0kgPsOsVBvfwqIuVVWw8iN4623vw+bdSrGM3A8Jzqa3P1CddCUHd30SHnWpJ9XGt4bWxUw1DblA//Of/8yQIUOYO3cuV155JV999RXPPvsszz77LOA41D516lTmzp1LZmYmmZmZzJ07l/j4eK655pogz15EAPjhR3h+Mez9j3ssoRpGFcCpR2qeD4Au90Bsp7A/Ty4SCCEX6IMGDWLFihXMnDmThx9+mK5du7Jw4UImTpzo2mbGjBmUl5czZcoUioqKOOuss8jJydE16CLBVnoEXn8T/vmZe8wC9D8Egw86ri+PagUZd0DS+VocRiSAQi7QAS666CIuuugiv69bLBays7PJzs5uukmJiH+GAf9aDy8vg+Ji93j7CsftTWua3ki+ENKnQHTroExTxMxCMtBFpBkp2A8vLoFvtrrHYgwYfADOcK701gk6T4fE3wVtmiJmp0AXkfqpqoKVH8Pyt6Gy0j1+aimMOuC4O5olGjr8ATpcCxExQZuqSDhQoIvIyfvhJ8ftTY9tehtZAN2cTW+/c9zeNK5zcOYoEmYU6CJSd0eOwGtvwqefO86bg6Pp7YxDMMSz6e12SLpATW8iTUiBLiInZhiw/it4aSkcOqbpbXQBpDqb3sZB+m1qehMJAgW6iBxfwX548SX45lv3WLQBQzyb3jJqmt4GBG2aIuFOgS4ivlVVwYcfO1Z682x6O+WI4/amic6mt+tqmt5qr8QoIk1HgS4itf34k2Oltz173WMtPVZ6swAJ/R175Wp6EwkJCnQRcSsrg9f/AZ986m56A3fTm9WAyETodDskjVPTm0gIUaCLSE3T24aaprdD7vFjm96SLoCM2yC6TVCmKSL+KdBFwt3+/fDiy7DlG/dYtOFYe73/IUfTmzUDuqjpTSSU1SnQ165dS0JCAv369Wvs+YhIU6mqgo9y4K0VUOHR9Nb1CJzrbHqLqml6u05NbyIhLqIuG91xxx1s3Lix1vgPP/xAseeNGESkefjpZ3hgNix73R3mLavhon1wyT5HmCecAb2WQMcbFeYizUCd9tB37NjBiBEjao1/9tlnvPPOO6xcuTLgExORRlCnprcEx0pvyePAUqff+UUkBNQp0BMTEyksLOTUU0/1Gh82bBizZs1qlImJSAAZBmz4Gpa8AkWH3OPtKuG83zya3s53hLma3kSanToF+sUXX8zjjz/O66+/7jUeERFBpeeCEyISevYfgMUvw+Yt7rFaTW/pNU1vA4M0SRFpqDoF+ty5c+nbty/nnXceCxYsoG/fvhw9epT58+fTt2/fxp6jiNRHdbWj6e0fy0/Q9Hat4xanOk8u0qzVKdCTk5P517/+xZ/+9CfOOOMMrFYrVVVVtGrVivfee6+x5ygiJ+unnx0rve3e4x5rUbPSW7eald5a9oUuMyCua7BmKSIBVOfr0Dt37szKlSvZu3cvmzdvJjo6mrPOOou2bds25vxE5GSUlcObb0HOJ95Nb/0OwdBCsNprmt5ug+QL1fQmYiInvbBMRkYGGRkZjTEXEakvw4ANG2HJy95Nb8k1TW8dapre2mZBpzvV9CZiQlopTqS5O3AQFr8Em7a4x6I8mt4iAWtH6HwPtDozSJMUkcamQBdprqqr4eNceHM5VFS4x7vW3N60VU3TW+pESJukpjcRk1OgizRHv+yEv78Iu3a7x1pUw8gCyPRsepsOcacEbZoi0nQU6CLNSZ2b3qZA8kVqehMJIwp0kebCudJbYZF7rFbT25iapjddfSISbhToIqHu4EFY/Aps3OQeizLg7IPwu0M1TW9pNU1vZwVrliISZAp0kVBVXe04tP7GW95Nb11qVnprVQWWSEi9BtL+qKY3kTCnQBcJRb6a3uLtjqa300prmt76QOcZEK+mNxFRoIuElvJyx9rrH+V6N731LYahByG2pukt/U/Qbrya3kTERYEuEiq+3uS4K1phoXssqRLOK4C0o47nbcdApzsgOik4cxSRkKVAFwm2gwcd3etfq+lNROpPgS4SLHY7fPyJ47ryo0fd451rmt5a1zS9pVztaHqLjA3eXEUk5CnQRYJh127H4fWdu9xjxza9tejtuL1p/KnBmqWINCMh31Ezb948LBYLU6dOdY0ZhkF2djZpaWnExcUxcuRItm3bFrxJitTV0aP02vwtUdmPeId5n2KYtAtOL4Wolo7D6z2eUZiLSJ2FdKBv2LCBZ599lr59+3qNP/bYYyxYsICnnnqKDRs2kJqaypgxYzh8+HCQZipSBxs3ETXzQbr98BMWZwd7UiVc+R84b7+jg73taOi9FNpfpg52ETkpIfsvRmlpKRMnTuS5556jTRv3vZsNw2DhwoXMmjWLCRMm0Lt3b5YsWUJZWRnLli0L4oxF/CgshCcXwRN/xVLTwW5EGTD0AEzcAx2PQkwHyHwcTn0YYpKDPGERaY5CNtBvu+02LrzwQs477zyv8Z07d5Kfn09WVpZrzGq1MmLECNatW9fU0xTxz2533N50+kzHOuxOncuwXLcbzjwEkZGQei30fgVaDw7aVEWk+QvJprjXXnuNTZs2sWHDhlqv5efnA5CSkuI1npKSwu7du2tt71RRUUGFx/KZJSUlANhsNmw2W73m6Xxffd9vZmFfm917iHzxJSI8zpMb8XYsIwoc58ktYI/vSXXG3RB3KtgBe5jWCn2/HI9q41ug6mKmuoZcoO/du5e77rqLnJwcYmP9X6ZjsVi8nhuGUWvM07x585g9e3at8ZycHOLj4+s/YSA3N7dB7zezcKtNpK2K7t9t59Qff8LisdAbvYuxDHOs9Gazx7C9eAS78s6An3YAO4I029ATbt8vJ0O18a2hdSkrKwvQTILPYhie60sG39tvv81ll11GZGSka6y6uhqLxUJERAQ7duygW7dubNq0if79+7u2ueSSS2jdujVLlizx+bm+9tAzMjI4cOAAiYmJ9ZqrzWYjNzeXMWPGEB0dXa/PMKtwrI1lyzdEvrQUy0H3Sm9GUiWW0QWO8+RAVeIIPvmhF8NHXxY2damLcPx+qSvVxrdA1aWkpITk5GSKi4vrnQWhIuT20EePHs3WrVu9xv74xz/SvXt37r33Xk455RRSU1PJzc11BXplZSWrVq1i/vz5fj/XarVitda+G1V0dHSDf0gC8RlmFRa1KSyEl5bCVx7nyaMMOKsQy4Aix0pvManQ+W6MFoOo+PfK8KhLPagu/qk2vjW0LmaqacgFekJCAr179/Yaa9GiBUlJSa7xqVOnMnfuXDIzM8nMzGTu3LnEx8dzzTXXBGPKEq7sdsj9J7zxDyj3WOmtUxmM3g+tbUAkpF5Vs9JbHJjofJ2IhJaQC/S6mDFjBuXl5UyZMoWioiLOOusscnJySEhICPbUJFzs2u24vekvO91j8XbwaHqjRc+ald4ygzZNEQkfzSLQP//8c6/nFouF7OxssrOzgzIfCWNHK+Ct5fBhjmMP3al3MQxz3t60BaTfCu0ucazFLiLSBJpFoIuEhM1b4MWX4MBB91hbG4z+DdJrDrm3ORc63Qkx7YIyRREJXwp0kRMpKoIlS+Erj3URIh1Nbwx0Nr2lQOe7ofXQoE1TRMKbAl3EH7sd/vkZvPYmlJe7xzPKHGuvu5reroS0GxxNbyIiQaJAF/Fl9x54fjH89LN7LK6m6a27Z9PbdIg/LVizFBFxUaCLeDpaAcvfhpUf1W56O+egI9Qj4h1Nb+0vVdObiIQMBbqI0+ZvapreDrjHajW9jYROU9X0JiIhR4EuUnQIXnoF1vtoehtQ5PgpiUmBztOg9TnBmqWIyHEp0CV8Ha/pbfR+aGMDIiDl99Dxeohs2E18REQakwJdwtOePfD3xbWb3obvhx6HHU1v8d2hy73QQk1vIhL6FOgSXo5WwIq34YNjmt56lcCwAzVNb3GQfgu0n6CmNxFpNhToEj621DS97fdoemtjg/M8m95G1DS9tQ/KFEVE6kuBLuZXdAheXgZfrnePRRpwZs1Kb86mt05/hjbDgjVLEZEGUaCLednt8Onnjqa3sjL3eK2mtyug441qehORZk2BLua0Z69jpbcff3KP1Wp6O72m6e30YM1SRCRgFOhiLhUVsPwdx0pv1dXu8Z4lMFxNbyJiXgp0MY9vvoUXXoL9+91jbWwwugAyaq4zbz3c0fRmTQnKFEVEGosCXZq/Q4ccTW//OqbpbVAhDKppeotuD53/DG2GB2uWIiKNSoEuzZfdDp+tglff8G56Sy937JW3dTa9XV7T9NYiaFMVEWlsCnRpnvb+B55/EX44pult2H7o6dn0NgNadA/aNEVEmooCXZqXigpY8Y5jpbfjNb11vAlS/gss+hYXkfCgf+2k+fhmK7y4BAqO1/R2DnSapqY3EQk7CnQJfcXFjqa3dV+6xyINR8PboCKIMiC6neP2pmp6E5EwpUCX0GW3w+erYdnrx2l6s0D7KyD9JjW9iUhYU6BLaPrPfxy3N/3hR/dYbM1Kb66mt9Og8wxo2SNYsxQRCRkKdAktlZWw4l14f6V301uPmqa3eGfT242Oy9HU9CYiAijQJZRs/c6x/vqxTW/nFkAnZ9Pb0Jqmt9SgTFFEJFQp0CX4iktqmt7+5R6LwLHS25nOprfkmtubjgCLJWhTFREJVQp0CR67HVathmVvwJEj7vGONU1vSc6mt8sh/WY1vYmIHIcCXYLjP786Dq/v+ME9Fluz0lsvZ9NbZk3TW89gzVJEpNlQoEvTqqyEt9+F93w1vR2E+GqIiK1pertCTW8iInWkfy2l6WzdBi8sht8K3GOta5reOtc0vbUaAp3vVtObiMhJUqBL4ysugaWvwtp17rFaTW9JNU1vI9X0JiJSDwp0aTyGgWXVGnj9H95Nb2nlcJ5n09t/QcebIapl0KYqItLcRQR7AseaN28egwYNIiEhgfbt23PppZeyY8cOr20MwyA7O5u0tDTi4uIYOXIk27ZtC9KMxae8PIZ+tpqoF5a4wzzWDmN+gyt/dYR5XDfo8X+ONdgV5iIiDRJygb5q1Spuu+02vvzyS3Jzc6mqqiIrK4sjHnt4jz32GAsWLOCpp55iw4YNpKamMmbMGA4fPhzEmQvgaHp7czlR988mef9B93j3wzBpN/Q+DJGxkH4b9HweWvYK3lxFREwk5A65f/TRR17PX3zxRdq3b8/GjRsZPnw4hmGwcOFCZs2axYQJEwBYsmQJKSkpLFu2jFtuuSUY0xaA77bB80vgt99wngU3WldhOfc3j6a3wTVNbx2CNk0RETMKuUA/VnFxMQBt27YFYOfOneTn55OVleXaxmq1MmLECNatW6dAD4aSEnjFu+nNiADLwEIsZ6npTUSkKYR0oBuGwbRp0zjnnHPo3bs3APn5+QCkpKR4bZuSksLu3bv9flZFRQUVFRWu5yUlJQDYbDZsNlu95ud8X33f3+wZBpY1XxD52ptYPE6JGGlHsYwugORKDCzYky/F3uFGiGwJVVVBnHDwhf33jB+qi3+qjW+BqouZ6hrSgX777bfz7bffsnbt2lqvWY7ZyzMMo9aYp3nz5jF79uxa4zk5OcTHxzdonrm5uQ16f3PUsuQw/b7eTPL+A64xw2rHMuwAlt4lYIFiWzu+OTSWorw0+HZ1EGcbesLxe6YuVBf/VBvfGlqXsrKyAM0k+EI20O+44w7effddVq9eTXp6ums8NdWx4Eh+fj4dOrjPwxYUFNTaa/c0c+ZMpk2b5npeUlJCRkYGWVlZJCYm1muONpuN3NxcxowZQ3R0dL0+o9mptBHx/koicj7F4rnSW/fDWIYfgBbVGBYrtvZ/YNXmRM4bc3741KYOwvJ7pg5UF/9UG98CVRfn0VozCLlANwyDO+64gxUrVvD555/TtWtXr9e7du1Kamoqubm59O/fH4DKykpWrVrF/Pnz/X6u1WrFarXWGo+Ojm7wD0kgPqNZ2Lbdsf56/m/usdZV4NX0djaWzndjiWiHsXll+NTmJKkuvqku/qk2vjW0LmaqacgF+m233cayZct45513SEhIcJ0zb9WqFXFxcVgsFqZOncrcuXPJzMwkMzOTuXPnEh8fzzXXXBPk2ZtUSQksfQ3WfOEeiwAGFoJX09td0OZcR9Obic5LiYg0ByEX6M888wwAI0eO9Bp/8cUXmTx5MgAzZsygvLycKVOmUFRUxFlnnUVOTg4JCQlNPFuTMwxYvdYR5qWl7vEORx0rvSVXAhZodxmk3wJRqr+ISLCEXKAbhnHCbSwWC9nZ2WRnZzf+hMJV3j7H4fXv/+0esxpwzn7o42h6I+5U6DIDWvYO1ixFRKRGyAW6BFllJbz7Abz7vvclZqcfhhGOpjcirJB2PaRcBRH6FhIRCQX611jcfDW9tapy3N60S82lHYlnOVZ6i+0YlCmKiIhvCnTxf3vTAUVwViFEGxDV1tH01na0VnoTEQlBCvRwZrfDqtWw7I1jbm96FEY7m96AdpdA+p/U9CYiEsIU6OHqP/+Bvy+GH350j8XWNL31dja9dYXO90JCn2DNUkRE6kiBHm4qKmDFO/DBR+C10lsJjDgI8dVgiYGOzqY38yy6ICJiZgr0cLLlG3jxZdi/3z3Wpmalt041K70lnlnT9Jbu+zNERCQkKdDDQVERvLQU1m9wj0XiWOntzJqV3qLaQKepanoTEWmmFOhmZrfDJ5/C6/+A8nL3eHq5o+mtbc3yrO0ugfRbIap+N6kREZHgU6Cb1a7d8PcX4Zed7rE4OwzfDz0OO5reYrtAl3shoW+wZikiIgGiQDebo0fhzeXwUY5jLXan3sVwzkFHqFtiIG0ypF6jpjcREZNQoJvJ15tg8ctQWOgea2uD0b9B+lHH88RB0PkeNb2JiJiMAt0Miktg8UveTW9RwFkHHau9RVLT9HYntB2jpjcRERNSoDdnhgHrvoQlr3jf3rRzmWP99dY1N1dpd3HNSm9qehMRMSsFenNVVAQvLIGNm91jcXYYWQCnl3o0vc2AhH7BmqWIiDQRBXpzYxiwag288iqUlbnHTzsMow64V3pT05uISFhRoDcnBw46LkX7dqt7LL7acXg9s+bmKokDofN0Nb2JiIQZBXpzYLfDp5/Dstcdl6U59SiBEQcch9qjWkPGnZCUpaY3EZEwpEAPdb8VwHMvwPbv3WMtqxwrvZ1Sc8g9+SLImAJRrYIzRxERCToFeqiqroaVH8NbK6Cy0j3euxiGHwSrHWI71zS9nRG0aYqISGhQoIeiX3Y6zpXv2u0eS7TBeQXQubym6W1STdNbTPDmKSIiIUOBHkoOFsKbb8GaLzyWbTXgjGIYehBiDEgYAF2mQ2xGUKcqIiKhRYEeCvblO9Ze/3w12Gzu8eQKx155h4qaprc7IGmsmt5ERKQWBXqw2O3w3TbI+QQ2f+N9IxVrNZxVBGcccizbqqY3ERE5AQV6U7PbHYfU333fsWfuKdqAvofgzCKItUNsJ+g8AxL7B2WqIiLSfCjQm9L3/3bcDW3vf7zHEyOh72/Qp8QR5JZo6PBH6HCtmt5ERKROFOhNobISXv9H7XuUd0uGnj9C14MQUTOW8DvH7U3jOgdlqiIi0jwp0BvbwUJ4YqH3JWhd0mDYAUj+0j0W1aqm6e18Nb2JiMhJU6A3pv/8B+Y+BoeKHc+joyArDTJXgaXavV3yOEi/DaJbB2WaIiLS/CnQG0vBfpj7F3eYJyfCJb9B4qfubWIzaprefhecOYqIiGko0BtDVRX89Sk4dMjxvGMMjN/iuIkK1DS9/UFNbyIiEjAK9Mbw7vuwc5fjcZsqGP+LO8wT+jtub6qmNxERCSAFeqDt3AUr3nE8thhw/r6a25u2gozbIGmcmt5ERCTgIk68Sej629/+RteuXYmNjWXAgAGsWbMmuBM6Wgr/8yhU1+yNn1kEqRWQdAH0XgbJFyrMRUSkUTTbQH/99deZOnUqs2bNYvPmzQwbNowLLriAPXv2BGdCxevhmZvht3LH8/ZHYXgLOP1/4JT71cEuIiKNqtkG+oIFC7jhhhu48cYb6dGjBwsXLiQjI4NnnnmmSedhjThC5K7/hvcfgA3RjsFIA64dAv2WQOKAJp2PiIiEp2Z5Dr2yspKNGzdy3333eY1nZWWxbt26ppnEr78S8clLjCnYQMRG4MdU92u/vxAG/r5p5iEiIkIzDfQDBw5QXV1NSkqK13hKSgr5+fk+31NRUUFFRYXreUlJCQA2mw2b5y1L6yji2+eI/HgnkOA1bj9nCNVZl3nfBjUMOWtan9qamerim+rin2rjW6DqYqa6NstAd7Ic02BmGEatMad58+Yxe/bsWuM5OTnEx8ef9N+dfjARz4Pptugofux+Oj92SIEPPzzpzzOr3NzcYE8hJKkuvqku/qk2vjW0LmVlZQGaSfA1y0BPTk4mMjKy1t54QUFBrb12p5kzZzJt2jTX85KSEjIyMsjKyiIxMfHkJ3HkCLaMl/g+r5TMwVcQld6RzOhoMk/+k0zJZrORm5vLmDFjiI6ODvZ0Qobq4pvq4p9q41ug6uI8WmsGzTLQY2JiGDBgALm5uVx22WWu8dzcXC655BKf77FarVit1lrj0dHR9ftmaN0a28g/sXPlSnp07aIfND/qXV+TU118U138U218a2hdzFTTZhnoANOmTeO6665j4MCBDB48mGeffZY9e/Zw6623BntqIiIiTa7ZBvrvf/97Dh48yMMPP8y+ffvo3bs3K1eupHNnLakqIiLhp9kGOsCUKVOYMmVKsKchIiISdM12YRkRERFxU6CLiIiYgAJdRETEBBToIiIiJtCsm+IawjAMoGGLCthsNsrKyigpKTHVtYyBoNr4prr4prr4p9r4Fqi6ODPAmQnNWdgG+uHDhwHIyMgI8kxERCTYDh8+TKtWrYI9jQaxGGb4taQe7HY7eXl5JCQk+F3//UScy8fu3bu3fsvHmphq45vq4pvq4p9q41ug6mIYBocPHyYtLY2IiOZ9Fjps99AjIiJIT08PyGclJibqB80P1cY31cU31cU/1ca3QNSlue+ZOzXvX0dEREQEUKCLiIiYggK9AaxWKw899JDPu7iFO9XGN9XFN9XFP9XGN9WltrBtihMRETET7aGLiIiYgAJdJAwdPHiQ9u3bs2vXrjptf/nll7NgwYLGnZSINIgOuYuYzNSpU9m1axdvv/22323uueceioqKeP755+v0md9++y2jRo1i586dunRKJERpD13EZDZs2MCZZ57p9/Xy8nKef/55brzxxjp/Zt++fenSpQtLly4NxBRFpBEo0EVMwmazERMTw7p165g1axYWi4Wzzjqr1nYffvghUVFRDB482Gv8H//4B3369CEuLo6kpCTOO+88jhw54nr94osv5tVXX230r0NE6keBLmISkZGRrF27FoAtW7awb98+Pv7441rbrV69moEDB3qN7du3j6uvvprrr7+e77//ns8//5wJEyZ43bDizDPP5KuvvqKioqJxvxARqZewXfpVxGwiIiLIy8sjKSmJfv36+d1u165dpKWleY3t27ePqqoqJkyYQOfOnQHo06eP1zYdO3akoqKC/Px81zYiEjq0hy5iIps3bz5umIPjHHpsbKzXWL9+/Rg9ejR9+vThiiuu4LnnnqOoqMhrm7i4OADKysoCO2kRCQgFuoiJbNmy5YSBnpycXCusIyMjyc3N5cMPP6Rnz54sWrSI008/nZ07d7q2KSwsBKBdu3aBn7iINJgCXcREtm7dSt++fY+7Tf/+/dm+fXutcYvFwtChQ5k9ezabN28mJiaGFStWuF7/7rvvSE9PJzk5OeDzFpGGU6CLmIjdbufbb78lLy+P4uJin9uMHTuWbdu2ee2lr1+/nrlz5/L111+zZ88eli9fzv79++nRo4drmzVr1pCVldXoX4OI1I8CXcREHnnkEV5//XU6duzIww8/7HObPn36MHDgQN544w3XWGJiIqtXr2bcuHGcdtpp3H///TzxxBNccMEFABw9epQVK1Zw0003NcnXISInTyvFiYShlStXcs899/Ddd98REXHi3+uffvpp3nnnHXJycppgdiJSH7psTSQMjRs3jh9//JFff/2VjIyME24fHR3NokWLmmBmIlJf2kMXERExAZ1DFxERMQEFuoiIiAko0EVERExAgS4iImICCnQRERETUKCLiIiYgAJdRETEBBToIiIiJqBAFxERMQEFuoiIiAko0EVERExAgS4iImICCnQRERETUKCLiIiYgAJdRETEBBToIiIiJqBAFxERMQEFuoiIiAko0EVERExAgS4iImICCnQRERETUKCLiIiYgAJdRETEBBToIiIiJqBAFxERMQEFuoiIiAlEBXsCwWK328nLyyMhIQGLxRLs6YiISBAYhsHhw4dJS0sjIqJ57+OGbaDn5eWRkZER7GmIiEgI2Lt3L+np6cGeRoOEbaAnJCQAjv+JiYmJ9foMm81GTk4OWVlZREdHB3J6zZ5q45vq4pvq4p9q41ug6lJSUkJGRoYrE5qzsA1052H2xMTEBgV6fHw8iYmJ+kE7hmrjm+rim+rin2rjW6DrYoZTr837hIGIiIgACnQRERFTUKCLiIiYQNieQxeR5qG6uhqbzRbsaQSNzWYjKiqKo0ePUl1dHezphIy61iU6OprIyMgmnFnwKNBFJCQZhkF+fj6HDh0K9lSCyjAMUlNT2bt3rykatwLlZOrSunVrUlNTTV8/BbqIhCRnmLdv3574+HjT/2Psj91up7S0lJYtWzb7hU8CqS51MQyDsrIyCgoKAOjQoUNTTrHJKdADoaoKDhZC+3agHziRBquurnaFeVJSUrCnE1R2u53KykpiY2MV6B7qWpe4uDgACgoKaN++vakPv+u7o6EMg8gnFsK0GfCP5cGejYgpOM+Zx8fHB3kmYgbO7yOz92Io0Buo5eHDRGz/t+PJ2+8FdzIiJhOuh9klsMLl+0iB3kBxZUe9B0z+G6CIiIQmBXoDWY8eE+ilpcGZiIiIhDUFegPFlh8T6IcPB2ciIiIS1hToDVRrD/3wkeBMRERCgt1uZ/78+XTr1g2r1UqnTp2YM2eO6/WtW7dy7rnnEhcXR1JSEjfffDOlHkf2Jk+ezKWXXsrcuXNJSUmhbdu2zJ8/n6qqKqZPn07btm1JT0/nhRdecL1n165dWCwWXnvtNYYMGUJsbCy9evXi888/P6m5//zzz1xyySWkpKTQsmVLBg0axCeffOJ6febMmZx99tm13te3b18eeughADZs2MCYMWNITk6mVatWjBgxgk2bNnltb7FY+Pvf/85ll11GfHw8mZmZvPvuu17bbNu2jQsvvJDExEQSEhIYNmwYP//8s6vG//3f/02vXr2Ii4vjjDPO4KOPPjqpr9WMFOgNVJCaguF5GYQOuYuEtZkzZzJ//nweeOABtm/fzrJly0hJSQGgrKyM888/nzZt2rBhwwbefPNNPvnkE26//Xavz/j000/Jy8tj9erVPP744zz66KOMHz+eNm3asH79em699VZuvfVW9u7d6/W+6dOnc/fdd7N582aGDBnCxRdfzMGDB+s899LSUsaNG8cnn3zC5s2bGTt2LOPHj2fPnj0ATJw4kfXr17uCFRzBu3XrViZOnAjA4cOHmTRpEmvWrOHLL78kMzOTcePGcfiYo5ezZ8/myiuv5Ntvv2XcuHFMnDiRwsJCAH799VeGDx9ObGwsn376KRs3buT666+nqqoKgL/+9a8sWLCAhx9+mC1btjB27Fguvvhifvzxxzp/raZkhKni4mIDMIqLi+v9GZWVlcbbb79tVH34sWFc/QfHn1VrAjjL5stZm8rKymBPJaSoLr4dW5fy8nJj+/btRnl5eZBndnJKSkoMq9VqPPfccz5ff/bZZ402bdoYpaWlrrEPPvjAiIiIMPLz8w3DMIxJkyYZnTt3Nqqrqw3DMIzq6mojMzPTGDZsmOs9VVVVRosWLYxXX33VMAzD2LlzpwEYjz76qGsbm81mpKenG/Pnz2/Q19SzZ09j0aJFrud9+/Y1Hn74YdfzmTNnGoMGDfL7/qqqKiMhIcF47733XGOAcf/997uel5aWGhaLxfjwww9dn9m1a1e/PydpaWnGI488YhQVFbnqNGjQIGPKlCk+tz/e91MgsiBUaGGZADBiYtxPKiuDNxERs5v1EBQXN/3f26oVzJl9ws2+//57KioqGD16tN/X+/XrR4sWLVxjQ4cOxW63s2PHDteefK9evbwWS2nXrh29e/d2PY+MjCQpKcm1AprT4MGDXY+joqIYOHAg33//fd2+RuDIkSPMnj2b999/n7y8PKqqqigvL3ftoYNjL/2FF17ggQcewDAMXn31VaZOnep6vaCggAcffJBPP/2U3377jerqasrKyrw+AxyH6Z1atGhBQkKC6+vZsmULw4YN83mf85KSEvLy8hgyZIjX+NChQ/nmm2/q/LWakQI9EKxW9+OKiuDNQ8TsiouhsCjYs/DLuSqZP4Zh+L0m2nP82CCzWCw+x+x2+wnndDLXYE+fPp2PP/6Yxx9/nG7duhEXF8fll19OpceOyjXXXMN9993Hpk2bKC8vZ+/evVx11VWu1ydPnsz+/ftZuHAhnTt3xmq1MnjwYK/P8Pc1Or+eE9XR19d1vNqGi5A8h7569WrGjx9PWloaFouFt99+2+t1wzDIzs4mLS2NuLg4Ro4cybZt24IzWQDPPfQK7aGLNJpWraBtm6b/06pVnaaXmZlJXFwc//znP32+3rNnT7Zs2cKRI+7m2S+++IKIiAhOO+20Bpfnyy+/dD2uqqpi48aNdO/evc7vX7NmDZMnT+ayyy6jT58+pKamsmvXLq9t0tPTGT58OEuXLmXp0qWcd955riMLzs+48847GTduHL169cJqtXLgwIGT+jr69u3LmjVrfK7slpiYSFpaGl988YXX+Lp16+jRo8dJ/T1mE5J76EeOHKFfv3788Y9/5L/+679qvf7YY4+xYMECFi9ezGmnncYjjzzCmDFj2LFjBwkJCU0/YatnoGsPXaTR1OGwdzDFxsZy7733MmPGDGJiYhg6dCj79+9n27Zt3HDDDUycOJGHHnqISZMmkZ2dzf79+7njjju47rrrvEKxvp5++mkyMzPp0aMHTz75JEVFRVx//fWu17t37868efO47LLLfL6/W7duLF++nPHjx2OxWHjggQd8HgWYOHEi2dnZVFZW8uSTT9b6jJdffpmBAwdSUlLC9OnT67TH7en2229n0aJFXHXVVcycOZNWrVrx5ZdfcuaZZ3L66aczffp0HnroITp06MDgwYNZsmQJW7ZsYenSpSf195hNSO6hX3DBBTzyyCNMmDCh1muGYbBw4UJmzZrFhAkT6N27N0uWLKGsrIxly5YFYbZ476HrHLpIWHvggQe4++67efDBB+nRowe///3vXeeG4+Pj+fjjjyksLGTQoEFcfvnljB49mqeeeiogf/ejjz7K/Pnz6devH2vWrOGdd94hOTnZ9fqOHTsoPk4PwpNPPkmbNm0YMmQI48ePZ+zYsfzud7+rtd0VV1zBwYMHKSsr49JLL/V67YUXXqCoqIj+/ftz3XXXceedd9K+ffuT+jqSkpL49NNPKS0tZdCgQZx22mk899xzrsP0d955J9OmTeOBBx6gX79+fPTRR7z77rtkZmae1N9jNhbDMIxgT+J4LBYLK1ascH3T/PLLL5x66qls2rSJ/v37u7a75JJLaN26NUuWLPH5ORUVFVR47D2XlJSQkZHBgQMHSExMrNfcbDYbubm5ZPXsRdxD/w2Affg5VN8wuV6fZybO2owZM8ZnY0u4Ul18O7YuR48eZe/evXTp0oXY2NhgTy+oDMPg8OHDJCQk+D1HvGvXLk499VQ2btzIGWec0bQTbGSlpaWMHj2atWvXev3M1KUuTkePHmXXrl1kZGTU+n4qKSkhOTmZ4uLiemdBqAjJQ+7Hk5+fD1Dr8FRKSgq7d+/2+7558+Yxe3btw3U5OTkNvqPT2q++YkzN47xdu9i4cmWDPs9McnNzgz2FkKS6+OasS1RUFKmpqZSWltZqpgpXx17H7cm5MM2RI0coKSlpqik1uj179lBVVcVvv/3G+vXrvTrjnY5XF6fKykrKy8tZvXq161p2p7KysoDNN9iaXaA7nWyH48yZM5k2bZrruXMPPSsrq8F76EPPHQUffAxAWnIyKePG1evzzER7or6pLr7520Nv2bKl9tDrsCfasmVLwHH5V3Pfy/T01ltvMW/ePPr370///v29Lvc72T30uLg412I1nsz0C1CzC/TU1FTAsafeoUMH13hBQcFxm0qsVitWz8vLakRHRzf4H9Zoj4aPiGo7EfqH2iUQ9TUj1cU3Z12qq6uxWCxERER4XY8djpxNac56+HLKKacQ4mdP62X27Nk+j6xC3eriFBER4br079ifOzP9HDa7n5SuXbuSmprqdciysrKSVatW1VpooMlEefxedMzhHBERkaYQknvopaWl/PTTT67nO3fuZMuWLbRt25ZOnToxdepU5s6dS2ZmJpmZmcydO5f4+Hiuueaa4EzY8zc83Q9dRESCICQD/euvv2bUqFGu585z35MmTWLx4sXMmDGD8vJypkyZQlFREWeddRY5OTnBuQYdICICLBYwDO2hiwSQGQ8jS9MLl++jkAz0kSNHHvd/gMViITs7m+zs7Kab1IlERzuuQdceukiDOc9rlpWVnfSiJCLHcnaym+l8uS8hGejNUlSUI9C1hy7SYJGRkbRu3dprQZZwXafbbrdTWVnJ0aNHw75B0FNd6mIYBmVlZRQUFNC6dWsiPW91bUIK9EBx/uZnU6CLBILzipZj7ygWbgzDoLy8nLi4uLD9pcaXk6lL69atXd9PZqZAD5TomlJW6ZC7SCBYLBY6dOhA+/btfd6kI1zYbDZWr17N8OHDTX/I+GTUtS7R0dGm3zN3UqAHivPSNR1yFwmoyMjIsPkH2ZfIyEiqqqqIjY1VoHtQXWrTCZlAcQa6DrmLiEgQKNADRXvoIiISRAr0QHEe8qmuBh/3DxYREWlMCvRAidbyryIiEjwK9ECJ0vKvIiISPAr0QNEeuoiIBJECPVAiPQJdne4iItLEFOiB4rmHrkPuIiLSxBTogeK5sEG19tBFRKRpKdADJUqH3EVEJHgU6IHiuTSlmuJERKSJKdADJcoj0KurgzcPEREJSwr0QIlUoIuISPAo0APF87K1KgW6iIg0LQV6oGgPXUREgkiBHihe59DVFCciIk1LgR4oXnvoutuaiIg0LQV6oOiQu4iIBJECPVAU6CIiEkQK9EDROXQREQkiBXqg6LI1EREJIgV6oOiQu4iIBJECPVAU6CIiEkQK9EBRoIuISBAp0APFsylO59BFRKSJKdADRXvoIiISRAr0QPHsctdlayIi0sQU6IGiPXQREQkiBXqg6By6iIgEkQI9ULSHLiIiQaRADxQFuoiIBJECPVAU6CIiEkQK9EDROXQREQkiBXqg6LI1EREJIgV6oER6lFKH3EVEpIkp0ANF59BFRCSIFOiBEqlz6CIiEjwK9EDxOoeuQBcRkabVrAP9b3/7G127diU2NpYBAwawZs2a4E0mSofcRUQkeJptoL/++utMnTqVWbNmsXnzZoYNG8YFF1zAnj17gjMhnUMXEZEgaraBvmDBAm644QZuvPFGevTowcKFC8nIyOCZZ54JzoQsFoioKacCXUREmljUiTcJPZWVlWzcuJH77rvPazwrK4t169b5fE9FRQUVFRWu5yUlJQDYbDZsNlu95uF8n/O/UZGRWOx2jKoqqur5mWZxbG3EQXXxTXXxT7XxLVB1MVNdm2WgHzhwgOrqalJSUrzGU1JSyM/P9/meefPmMXv27FrjOTk5xMfHN2g+ubm5AIwzDKKB0uJiPl25skGfaRbO2og31cU31cU/1ca3htalrKwsQDMJvmYZ6E4Wi8XruWEYtcacZs6cybRp01zPS0pKyMjIICsri8TExHr9/TabjdzcXMaMGUN0dDRR738MVVW0jItj3Lhx9fpMszi2NuKguvimuvin2vgWqLo4j9aaQbMM9OTkZCIjI2vtjRcUFNTaa3eyWq1YrdZa49HR0Q3+IXF9RpSjnJZqu37wagSivmakuvimuvin2vjW0LqYqabNsikuJiaGAQMG1DrUkpuby5AhQ4I0K9yd7lrLXUREmliz3EMHmDZtGtdddx0DBw5k8ODBPPvss+zZs4dbb701eJNyBbq63EVEpGk120D//e9/z8GDB3n44YfZt28fvXv3ZuXKlXTu3Dl4k3IuLqOlX0VEpIk120AHmDJlClOmTAn2NNy0hy4iIkHSLM+hhywFuoiIBIkCPZAU6CIiEiQK9EBynkM3DLDbgzsXEREJKwr0QPK8hWqVLl0TEZGmo0APJN1xTUREgkSBHkgKdBERCRIFeiBFKdBFRCQ4FOiBFKFAFxGR4FCgB5IOuYuISJAo0APJ85C7ln8VEZEmpEAPJO2hi4hIkCjQAynCo5x2BbqIiDQdBXogRXkuLKNAFxGRpqNADyQdchcRkSBRoAdSpEc5q7WWu4iINB0FeiBpD11ERIJEgR5InjdnqdbNWUREpOko0ANJe+giIhIkCvRA0jl0EREJEgV6IGkPXUREgkSBHkg6hy4iIkGiQA8kHXIXEZEgUaAHkg65i4hIkCjQA0mBLiIiQaJADySv26fqHLqIiDQdBXogRXgEul3n0EVEpOko0APJaw9dh9xFRKTpKNADSefQRUQkSBTogeR1yF2BLiIiTUeBHkg65C4iIkGiQA8kHXIXEZEgUaAHkgJdRESCRIEeSAp0EREJEgV6ICnQRUQkSBTogaRAFxGRIPEb6IWFhU05D3NQoIuISJBE+XshOTmZ9PR0+vXr5/UnMzMTi8XSlHNsPhToIiISJH4Dffv27WzZsoXNmzezYcMG/u///o/CwkLi4uLo1asX69evb8p5Ng8KdBERCRK/gd69e3e6d+/OVVddBYBhGHz00UfccccdjB49uskm2KxEKdBFRCQ46twUZ7FYuOCCC3jllVfIy8trzDk1XxEKdBERCQ6/gW73c/vPs88+m88//7yx5tO86ZC7iIgEid9Ab9myJWeeeSY333wzTz/9NF988QUHDhxg5cqVlJaWNtqE5syZw5AhQ4iPj6d169Y+t9mzZw/jx4+nRYsWJCcnc+edd1JZWdloc6ozreUuIiJB4vcc+vLly/nmm2/45ptvePrpp/nxxx+x2+1YLBb++7//u9EmVFlZyRVXXMHgwYN5/vnna71eXV3NhRdeSLt27Vi7di0HDx5k0qRJGIbBokWLGm1edRLh8fuRnyMcIiIijcFvoJ9//vmcf/75rudHjx7l559/JikpidTU1Eab0OzZswFYvHixz9dzcnLYvn07e/fuJS0tDYAnnniCyZMnM2fOHBITExttbicU5VHO6qrgzUNERMJOnZviYmNj6dWrV6OGeV3861//onfv3q4wBxg7diwVFRVs3LgxiDPDsYfuvEZfh9xFRKQJ+d1DD1X5+fmkpKR4jbVp04aYmBjy8/P9vq+iooKKigrX85KSEgBsNhs2m61ec3G+z/P9UZGRWKqqMKqqqKrn55qBr9qI6uKP6uKfauNboOpipro2SaBnZ2e7DqX7s2HDBgYOHFinz/O1Up1hGMddwW7evHk+55CTk0N8fHyd/l5/cnNzXY8vNAyigMPFxXy2cmWDPtcMPGsjbqqLb6qLf6qNbw2tS1lZWYBmEnxNEui33367a4Eaf7p06VKnz0pNTa21Sl1RURE2m63WnrunmTNnMm3aNNfzkpISMjIyyMrKqvd5d5vNRm5uLmPGjCE6OhqAyPc+hLJyEuLjGTduXL0+1wx81UZUF39UF/9UG98CVRfn0VozaJJAT05OJjk5OSCfNXjwYObMmcO+ffvo0KED4NjLtlqtDBgwwO/7rFYrVqu11nh0dHSDf0i8PiPSUVJLdbV++AhMfc1IdfFNdfFPtfGtoXUxU01D7hz6nj17KCwsZM+ePVRXV7NlyxYAunXrRsuWLcnKyqJnz55cd911/OUvf6GwsJB77rmHm266Kbgd7k6RNX2GumxNRESaUMgF+oMPPsiSJUtcz/v37w/AZ599xsiRI4mMjOSDDz5gypQpDB06lLi4OK655hoef/zxYE3Zm3O1OHW5i4hIEwq5QF+8eLHfa9CdOnXqxPvvv980EzpZzkDX0q8iItKE6nwdutRRzTl0BbqIiDQlBXqgOc+hK9BFRKQJKdADTYfcRUQkCELuHHqz15BAt9lg/QZHh/zZZ0JMTGDnJiIipqVADzRnoBuGI5gj6ngQxDDgyUWw5RvH889Wwax7vW/4IiIi4ocOuQdapMc90U9mL33jZneYA+z4AT74MHDzEhERU1OgB1p9A33tF7XHPvgQyssbPicRETE9BXqgRXkEel0Xl7HbYet3jscJCTDkbMfj0iPw5VeBnZ+IiJiSAj3QIjwC3V7HQP/Pr1B+1PG4x+lwfpb7tTVrAzc3ERExLQV6oEXV45D7zz+7H2d2g1NPgY5pjuf//gEOHAzc/ERExJQU6IEWWY9D7r/ucz/u0hksFhh8tnts0+bAzE1ERExLgR5o9Tnkvs8j0DukOv47oL97bNOWBk9LRETMTYEeaPVpisvLd/w3NhbatHE87pQBSW0dj7d/r253ERE5LgV6oJ3sZWtVVbB/v+NxaorjcDs4/vu7/u5ttm4L7DxFRMRUFOiBdrKBvv+A47I1gNRU79f693M//ubbhs9NRERMS4EeaCcb6IVF7sfJSd6v9ewB0dGOx99sdSwPKyIi4oMCPdBOOtAL3Y+d58+dYmKgR3f3dv/5teHzExERU1KgB9rJBnqRxx562za1X+/X1/1Yh91FRMQPBXqgRXqUtNp+4u0LTxDoZ3gG+tb6z0tERExNgR5oXnvoVSfe3vOQu69AT02Bdu0cj/+9Q5eviYiITwr0QIv0uH/5yTTFWSzQqlXt1y0W9156dbXjmnQREZFjKNADrb7n0Fu1gqgo39v07eN+vEXn0UVEpDY/CSL1djLn0O12OFTseNymtf/tevVwhH1VFXxbc/macwGaEykrgw0b4ZedcPQotGgB6R0dn5mSUrfPEBGRkKdAD7STOYdeesR9bbmvw+1OsbFw+mmwbbtjIZq8fe67sfljt8MHH8GKdxxB7ktqiqOLvm8fx+Vxsdbjf+axn19WBpWVNb9cWMACWCIgIgKqq4m0Vblfj4hw/Leuv4iIiMhJUaAHmudh8xOt5X74sPtxQsvjb3tGX0egg2Mv/XiBXlEBC/564uVi83+D/Fz4ONcx74x0SOsALVs6roGvsjnu015e7vjl48gROFLm+G9Z2XE/Ohq4CGD5u94vRES4/ziz3XO9nOMtnuP5mr/tQnzxnShgvGFgefPtYE8lpKgu/qk2vjnrwuatkH1/sKcTEhTogRbhccjdfoJD7odL3Y9bniDQ+/WBpa85Hm/5Bi4Y63u7ykp44q/wXU2YWywwcjgMHew4ClBcDD/97DgX/8OP7jlWVcHOXY4/jcluP3FdTKzmWEbI/+LR1FQX/1Qb35x1sYfxvyfHUqAH2sk0xZV6BHpCwvG37dgRkpPhwAH4bjscLHTfjc2pshIW/I87zONi4Z4/u1ebA8eefc8ecPFFjr3sbdsd17dv+x4KCo7/j0ZEBLRs4TgP36IFtIiHGCtgON5nGGA3wG7HXl3Nwf0FJLVpSwSGo5/AfswfT56H4o93WN7fa3V9f5DZDYPiQ4do1bo1ESE8z6amuvin2vjmqkuH1BNvHCYU6IF2MrdPPZlD7hYLDD8Hlr/tCM7PPofLJ7hft9lg4VOOw/HgOO9+7z1wWqb/z4yPh0EDHX/A8QvB/gOOQ+yVlRAV7filIC7OEd6xsXUOy2qbjXUrVzJu3DginOvRC9U2G6tVl1pUF/9UG9+86hLsyYQIBXqgeV2HfoKmOM9D7icKdIBRIxxNboYBH+XC2CzH+yor4clF7qVhrVaYcffxw9yXmJgTN9uJiEhI0i82gXZS59A999BPcMgdHIfYh5/jeFxWBk//r+Nw+cNzPcI8BmZMg+6nndy8RUSkWdMeeqCdzCH30pPcQwe48r9g4yZH1/m3W92H2MFxeHz6NOh+et3nKyIipqA99EA7maa4k91DB8ctVu+63XE+21NKCtw/U2EuIhKmtIceaCcV6B576C1a1P3v6NUT5j8Cn612XIbW7RQYOsRxDlxERMKSAj3Q6nPZWny8/3Xc/WnXznH4XUREBB1yD7z6HHKv6/lzERERPxTogVbXQK+udiyjCideJU5EROQEFOiBVtdAP+JxY5a6NsSJiIj4oUAPtLoG+skuKiMiInIcCvRAq1egaw9dREQaRoEeaHUOdI9r0HUOXUREGkiBHmiRdVwprj6rxImIiPihQA+0aI/ryauOc3MWHXIXEZEACqlA37VrFzfccANdu3YlLi6OU089lYceeojKykqv7fbs2cP48eNp0aIFycnJ3HnnnbW2CZqougb6Sdw6VURE5ARCaqW4f//739jtdv7v//6Pbt268d1333HTTTdx5MgRHn/8cQCqq6u58MILadeuHWvXruXgwYNMmjQJwzBYtGhRkL8CFOgiIhIUIRXo559/Pueff77r+SmnnMKOHTt45plnXIGek5PD9u3b2bt3L2lpjnt3P/HEE0yePJk5c+aQmJgYlLm71DXQS3XIXUREAiekAt2X4uJi2rZt63r+r3/9i969e7vCHGDs2LFUVFSwceNGRo0a5fNzKioqqKiocD0vKSkBwGazYbPZ6jU35/uOfX9UZCSW6mqMykqq/Hx2ZMlh1/kOW0wM1HMOocpfbcKd6uKb6uKfauNboOpiprqGdKD//PPPLFq0iCeeeMI1lp+fT0pKitd2bdq0ISYmhvz8fL+fNW/ePGbPnl1rPCcnh/j4+AbNMzc31+v5hTgKe/jQIT5budLne0bn/0ZLwBYdzcqcnAb9/aHs2NqIg+rim+rin2rjW0PrUlZWFqCZBF+TBHp2drbPMPW0YcMGBg4c6Hqel5fH+eefzxVXXMGNN97ota3FYqn1fsMwfI47zZw5k2nTprmel5SUkJGRQVZWVr0P09tsNnJzcxkzZgzR0dGu8cj3P4IjZSTExjFu3Dif7416/yPHf9u09rtNc+avNuFOdfFNdfFPtfEtUHVxHq01gyYJ9Ntvv52rrrrquNt06dLF9TgvL49Ro0YxePBgnn32Wa/tUlNTWb9+vddYUVERNput1p67J6vVitVqrTUeHR3d4B+SWp8R5Xhsqa72/dnV1VBW7tgmMdHUP6SBqK8ZqS6+qS7+qTa+NbQuZqppkwR6cnIyycnJddr2119/ZdSoUQwYMIAXX3yRiAjvK+sGDx7MnDlz2LdvHx06dAAch82tVisDBgwI+NzrxXktepWfczOeN2bRKnEiIhIAIXUOPS8vj5EjR9KpUycef/xx9u/f73otNTUVgKysLHr27Ml1113HX/7yFwoLC7nnnnu46aabgt/h7uTsdLf56XLXjVlERCTAQirQc3Jy+Omnn/jpp59IT0/3es2o2aONjIzkgw8+YMqUKQwdOpS4uDiuueYa12VtIcEZ6P4uW9MqcSIiEmAhFeiTJ09m8uTJJ9yuU6dOvP/++40/ofo6YaDrxiwiIhJYIbX0q2k4A726Guz22q97Bnqi9tBFRKThFOiNwbNr0tdeupZ9FRGRAFOgN4aoE9xC1esceog08omISLOmQG8MUZ576D4uXfNcyEB76CIiEgAK9MZwohu0qMtdREQCTIHeGKI9At3XtejOc+gWC7Rs0TRzEhERU1OgN4YT7qHXBHrLlhCh/wUiItJwSpPGUNdD7rpkTUREAkSB3hg8L1s79l67lZVw9KjjsRriREQkQBTojeF4l62pIU5ERBqBAr0xHO+yNa9FZRToIiISGAr0xuC1h37MOXTtoYuISCNQoDcGr3Poxwa6FpUREZHAU6A3hkiPLvfqYwK9qNj9uHWrppmPiIiYngK9MRxvYZlDh9yPW7duitmIiEgYUKA3huNdtqZAFxGRRqBAbwwxMe7HlZXerx3yPOTeukmmIyIi5qdAbwzHDfRD7m3iYptsSiIiYm4K9MZwvEAvOuT4b+tWjpuziIiIBIACvTFYPQK9wiPQKyuhrMzxWIfbRUQkgBTojcHfHrrOn4uISCNRoDcGv4F+yP24Teummo2IiIQBBXpj8BfoBw64Hye1bbr5iIiI6SnQG0OMx3XolR7XoR846H7crl3TzUdERExPgd4YYqzux5UV7sf7PfbQk5Oabj4iImJ6CvTG4HcP3SPQ2yU33XxERMT0FOiNISoKImtuoVrhYw89Jka3ThURkYBSoDcW5166cy13w3CfQ2+XrEVlREQkoBTojcV5Ht25sExJibvjPVmH20VEJLAU6I3Feema85D7vt/cr7VXh7uIiASWAr2xxMc5/lte7vjvvn3u19I6NP18RETE1BTojSWuJtCrqhyH2vflu1/rkBqcOYmIiGkp0BuLcw8dHHvpnnvoHbSHLiIigaVAbyzx8e7HZeWQV7OHHhOjZV9FRCTgFOiNJc5jD720FAoKHI9TUyBCZRcRkcBSsjQWz0DfvQeqqx2Pdf5cREQagQK9sXgecv/5F/djnT8XEZFGoEBvLHGx7sc//OR+3DGt6eciIiKmp0BvLC089tA9O9wz0pt+LiIiYnoK9MaSmFh7LDJSi8qIiEijUKA3ltata4+ldXDciU1ERCTAFOiNxVegZ2Q0+TRERCQ8hFygX3zxxXTq1InY2Fg6dOjAddddR15entc2e/bsYfz48bRo0YLk5GTuvPNOKp13MgsVLeLBavUe69olKFMRERHzC7lAHzVqFG+88QY7duzgrbfe4ueff+byyy93vV5dXc2FF17IkSNHWLt2La+99hpvvfUWd999dxBn7YPFAukdvcd6nB6cuYiIiOmF3AndP//5z67HnTt35r777uPSSy/FZrMRHR1NTk4O27dvZ+/evaSlOS4Be+KJJ5g8eTJz5swh0VczWrCc0tV9Dbo1Bjp3Cu58RETEtEIu0D0VFhaydOlShgwZQnR0NAD/+te/6N27tyvMAcaOHUtFRQUbN25k1KhRPj+roqKCCue9yYGSkhIAbDYbNputXvNzvs/v+887l6h/rYcjR6i+9hoMux3s9nr9Xc3NCWsTplQX31QX/1Qb3wJVFzPV1WIYhhHsSRzr3nvv5amnnqKsrIyzzz6b999/n6SkJABuvvlmdu3aRU5Ojtd7rFYrixcv5uqrr/b5mdnZ2cyePbvW+LJly4j3XNUtwGKOVhBVVUVZyxaN9neIiEj9lJWVcc0111BcXBxaR3jroUkC3V+YetqwYQMDBw4E4MCBAxQWFrJ7925mz55Nq1ateP/997FYLNx8883s3r2bjz/+2Ov9MTExvPTSS1x11VU+P9/XHnpGRgYHDhyo9/9Em81Gbm4uY8aMcR1BEAfVxjfVxTfVxT/VxrdA1aWkpITk5GRTBHqTHHK//fbb/QatU5cuXVyPk5OTSU5O5rTTTqNHjx5kZGTw5ZdfMnjwYFJTU1m/fr3Xe4uKirDZbKSkpPj9fKvVivXYrnMgOjq6wT8kgfgMs1JtfFNdfFNd/FNtfGtoXcxU0yYJdGdA14fzAIJz73rw4MHMmTOHffv20aHmRic5OTlYrVYGDBgQmAmLiIg0MyHVFPfVV1/x1Vdfcc4559CmTRt++eUXHnzwQU499VQGDx4MQFZWFj179uS6667jL3/5C4WFhdxzzz3cdNNNzf5wiYiISH2F1HXocXFxLF++nNGjR3P66adz/fXX07t3b1atWuU6XB4ZGckHH3xAbGwsQ4cO5corr+TSSy/l8ccfD/LsRUREgiek9tD79OnDp59+esLtOnXqxPvvv98EMxIREWkeQmoPXUREROpHgS4iImICIXXIvSk5u+edK8bVh81mo6ysjJKSElNd+hAIqo1vqotvqot/qo1vgaqLMwNCcI21kxa2gX748GEAMnRLUxGRsHf48GFatWoV7Gk0SEgu/doU7HY7eXl5JCQkYLFY6vUZztXm9u7dq0vmjqHa+Ka6+Ka6+Kfa+BaouhiGweHDh0lLSyMionmfhQ7bPfSIiAjS09MD8lmJiYn6QfNDtfFNdfFNdfFPtfEtEHVp7nvmTs371xEREREBFOgiIiKmoEBvAKvVykMPPeTzpi/hTrXxTXXxTXXxT7XxTXWpLWyb4kRERMxEe+giIiImoEAXERExAQW6iIiICSjQRURETECB3gB/+9vf6Nq1K7GxsQwYMIA1a9YEe0pNat68eQwaNIiEhATat2/PpZdeyo4dO7y2MQyD7Oxs0tLSiIuLY+TIkWzbti1IMw6OefPmYbFYmDp1qmssnOvy66+/cu2115KUlER8fDxnnHEGGzdudL0ejrWpqqri/vvvp2vXrsTFxXHKKafw8MMPY7fbXduES11Wr17N+PHjSUtLw2Kx8Pbbb3u9Xpc6VFRUcMcdd5CcnEyLFi24+OKL+c9//tOEX0WQGFIvr732mhEdHW0899xzxvbt24277rrLaNGihbF79+5gT63JjB071njxxReN7777ztiyZYtx4YUXGp06dTJKS0td2zz66KNGQkKC8dZbbxlbt241fv/73xsdOnQwSkpKgjjzpvPVV18ZXbp0Mfr27WvcddddrvFwrUthYaHRuXNnY/Lkycb69euNnTt3Gp988onx008/ubYJx9o88sgjRlJSkvH+++8bO3fuNN58802jZcuWxsKFC13bhEtdVq5cacyaNct46623DMBYsWKF1+t1qcOtt95qdOzY0cjNzTU2bdpkjBo1yujXr59RVVXVxF9N01Kg19OZZ55p3HrrrV5j3bt3N+67774gzSj4CgoKDMBYtWqVYRiGYbfbjdTUVOPRRx91bXP06FGjVatWxv/+7/8Ga5pN5vDhw0ZmZqaRm5trjBgxwhXo4VyXe++91zjnnHP8vh6utbnwwguN66+/3mtswoQJxrXXXmsYRvjW5dhAr0sdDh06ZERHRxuvvfaaa5tff/3ViIiIMD766KMmm3sw6JB7PVRWVrJx40aysrK8xrOysli3bl2QZhV8xcXFALRt2xaAnTt3kp+f71Unq9XKiBEjwqJOt912GxdeeCHnnXee13g41+Xdd99l4MCBXHHFFbRv357+/fvz3HPPuV4P19qcc845/POf/+SHH34A4JtvvmHt2rWMGzcOCN+6HKsuddi4cSM2m81rm7S0NHr37m36WoXtzVka4sCBA1RXV5OSkuI1npKSQn5+fpBmFVyGYTBt2jTOOeccevfuDeCqha867d69u8nn2JRee+01Nm3axIYNG2q9Fs51+eWXX3jmmWeYNm0a/+///T+++uor7rzzTqxWK3/4wx/Ctjb33nsvxcXFdO/encjISKqrq5kzZw5XX301EN7fM57qUof8/HxiYmJo06ZNrW3M/u+zAr0Bjr3tqmEY9b4Va3N3++238+2337J27dpar4Vbnfbu3ctdd91FTk4OsbGxfrcLt7qA47bFAwcOZO7cuQD079+fbdu28cwzz/CHP/zBtV241eb111/nlVdeYdmyZfTq1YstW7YwdepU0tLSmDRpkmu7cKuLP/WpQzjUSofc6yE5OZnIyMhav+0VFBTU+s0xHNxxxx28++67fPbZZ163pE1NTQUIuzpt3LiRgoICBgwYQFRUFFFRUaxatYr/+Z//ISoqyvW1h1tdADp06EDPnj29xnr06MGePXuA8P2emT59Ovfddx9XXXUVffr04brrruPPf/4z8+bNA8K3LseqSx1SU1OprKykqKjI7zZmpUCvh5iYGAYMGEBubq7XeG5uLkOGDAnSrJqeYRjcfvvtLF++nE8//ZSuXbt6vd61a1dSU1O96lRZWcmqVatMXafRo0ezdetWtmzZ4vozcOBAJk6cyJYtWzjllFPCsi4AQ4cOrXVp4w8//EDnzp2B8P2eKSsrIyLC+5/jyMhI12Vr4VqXY9WlDgMGDCA6Otprm3379vHdd9+Zv1ZBa8dr5pyXrT3//PPG9u3bjalTpxotWrQwdu3aFeypNZk//elPRqtWrYzPP//c2Ldvn+tPWVmZa5tHH33UaNWqlbF8+XJj69atxtVXX23KS21OxLPL3TDCty5fffWVERUVZcyZM8f48ccfjaVLlxrx8fHGK6+84tomHGszadIko2PHjq7L1pYvX24kJycbM2bMcG0TLnU5fPiwsXnzZmPz5s0GYCxYsMDYvHmz65LgutTh1ltvNdLT041PPvnE2LRpk3HuuefqsjU5vqefftro3LmzERMTY/zud79zXa4VLgCff1588UXXNna73XjooYeM1NRUw2q1GsOHDze2bt0avEkHybGBHs51ee+994zevXsbVqvV6N69u/Hss896vR6OtSkpKTHuuusuo1OnTkZsbKxxyimnGLNmzTIqKipc24RLXT777DOf/65MmjTJMIy61aG8vNy4/fbbjbZt2xpxcXHGRRddZOzZsycIX03T0u1TRURETEDn0EVERExAgS4iImICCnQRERETUKCLiIiYgAJdRETEBBToIiIiJqBAFxERMQEFuoiIiAko0EVERExAgS4Shg4ePEj79u3ZtWtXnba//PLLWbBgQeNOSkQaREu/ipjM1KlT2bVrF2+//bbfbe655x6Kiop4/vnn6/SZ3377LaNGjWLnzp0kJiYGaKYiEkjaQxcxmQ0bNnDmmWf6fb28vJznn3+eG2+8sc6f2bdvX7p06cLSpUsDMUURaQQKdBGTsNlsxMTEsG7dOmbNmoXFYuGss86qtd2HH35IVFQUgwcP9hr/xz/+QZ8+fYiLiyMpKYnzzjuPI0eOuF6/+OKLefXVVxv96xCR+lGgi5hEZGQka9euBWDLli3s27ePjz/+uNZ2q1evZuDAgV5j+/bt4+qrr+b666/n+++/5/PPP2fChAl4npE788wz+eqrr6ioqGjcL0RE6iUq2BMQkcCIiIggLy+PpKQk+vXr53e7Xbt2kZaW5jW2b98+qqqqmDBhAp07dwagT58+Xtt07NiRiooK8vPzXduISOjQHrqIiWzevPm4YQ6Oc+ixsbFeY/369WP06NH06dOHK664gueee46ioiKvbeLi4gAoKysL7KRFJCAU6CImsmXLlhMGenJycq2wjoyMJDc3lw8//JCePXuyaNEiTj/9dHbu3OnaprCwEIB27doFfuIi0mAKdBET2bp1K3379j3uNv3792f79u21xi0WC0OHDmX27Nls3ryZmJgYVqxY4Xr9u+++Iz09neTk5IDPW0QaToEuYiJ2u51vv/2WvLw8iouLfW4zduxYtm3b5rWXvn79eubOncvXX3/Nnj17WL58Ofv376dHjx6ubdasWUNWVlajfw0iUj8KdBETeeSRR3j99dfp2LEjDz/8sM9t+vTpw8CBA3njjTdcY4mJiaxevZpx48Zx2mmncf/99/PEE09wwQUXAHD06FFWrFjBTTfd1CRfh4icPK0UJxKGVq5cyT333MN3331HRMSJf69/+umneeedd8jJyWmC2YlIfeiyNZEwNG7cOH788Ud+/fVXMjIyTrh9dHQ0ixYtaoKZiUh9aQ9dRETEBHQOXURExAQU6CIiIiagQBcRETEBBbqIiIgJKNBFRERMQIEuIiJiAgp0ERERE1Cgi4iImIACXURExAQU6CIiIiagQBcRETEBBbqIiIgJKNBFRERMQIEuIiJiAgp0ERERE1Cgi4iImIACXURExAQU6CIiIiagQBcRETEBBbqIiIgJKNBFRERMQIEuIiJiAgp0ERERE1Cgi4iImIACXURExAQU6CIiIiagQBcRETEBBbqIiIgJKNBFRERMQIEuIiJiAgp0ERERE1Cgi4iImMD/B2acPWanFIU/AAAAAElFTkSuQmCC", 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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# simulação do sistema em MF\n", "ts = np.linspace(0, 100, 2000)\n", "\n", "t, y = ct.forced_response(rc_tf_lead, ts, U=ts)\n", "t, u = ct.forced_response(ru_tf_lead, ts, U=ts)\n", "\n", "fig, (state, control_input) = plt.subplots(\n", " 2, 1, figsize=(5, 7), sharex=True)\n", "\n", "state.plot(t, t, color=cp['yellow'], label='r', linewidth=2)\n", "# state.plot(t, y_PI, color=cp['green'], label='PI', linewidth=2)\n", "state.plot(t, y, color=cp['red'], label='comp. avanço', linewidth=2)\n", "state.set_ylabel(r'$c$')\n", "state.set_xlabel(r'$t$ (s)')\n", "state.legend()\n", "state.grid()\n", "\n", "\n", "control_input.plot(t[10:], u[10:], color=cp['red'],\n", " label='comp. avanço', linewidth=2)\n", "control_input.set_ylabel(r'$u$')\n", "control_input.set_xlabel(r'$t$ (s)')\n", "control_input.legend()\n", "control_input.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dado que o sistema compensado é do tipo 1, o erro em regime ao seguir uma referência do tipo rampa unitária é dado por:\n", "$$\n", "e_{ss} = \\frac{1}{K_1}\n", "\\quad \\text{com} \\quad\n", "K_1 = \\lim_{s \\to 0} s L(s) \n", "$$" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s^2 + 56.01 s + 23.84}{s^5 + 4.565 s^4 + 16.69 s^3 + 2.777 s^2 - 25.04 s}$$" ], "text/plain": [ "TransferFunction(array([32.16245505, 56.00553596, 23.84308091]), array([ 1. , 4.56474945, 16.69424836, 2.77699346,\n", " -25.03599128, 0. ]))" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L_1 = G_lead * L_0\n", "L_1" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.9523521817319317" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K1_1 = L_1.num[0][0][-1]/L_1.den[0][0][-2]\n", "K1_1" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-1.0500317205987986" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "e_ss_1 = 1/K1_1\n", "e_ss_1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Compensador de atraso de fase\n", "\n", "Um *compensador de atraso de fase* tem uma função de transferência da forma:\n", "$$ G_g(s) = \\frac{1 + Ts}{1 + \\beta Ts} = \\frac{1}{\\beta} \\frac{s + \\frac{1}{T}}{s + \\frac{1}{\\alpha T}} = \\frac{1}{\\beta} \\frac{s - z_g}{s - p_g}\n", "\\quad \\text{com} \\quad\n", "\\beta >1\n", "$$\n", "\n", "Tal compensador adiciona ao sistema um polo, em $\\displaystyle s = p_g = -\\frac{1}{\\beta T}$ e um zero em $\\displaystyle s = z_g = -\\frac{1}{T}$, com $z_g < p_g$, sem alterar o valor de $\\displaystyle K_m = \\lim_{s \\to 0} s^m L(s)$ do sistema.\n", "\n", "Observando sua *resposta em frequência*, nota-se que o *atraso de fase* ocorre em todo o espectro de frequência. Em termos de *ganho*, este tipo de compensador tem características de um filtro *passa-baixas*: \n", "* não há praticamente nenhuma redução no ganho para $\\displaystyle \\omega T \\ll \\frac{1}{\\beta}$;\n", "* o ganho é atenuado em $\\displaystyle -20 \\ |\\log_{10} \\beta| \\ \\text{dB}$ para $\\omega T \\gg 1$." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "65e87650b935416f91886aa6a067d48a", "version_major": 2, "version_minor": 0 }, "image/png": 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\n", " Sisotool\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.ion() # ativar o modo interativo\n", "ct.sisotool((1+s)/(1 + 10*s), xlim_rlocus=(-1.2, 0), ylim_rlocus=(-6, 6),\n", " rlocus_grid=True, dB=True)\n", "plt.draw() # desenhar a janela interativa" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O atraso de fase em si não é um efeito desejável (veremos adiante que *atrasos podem ser prejudiciais à estabilidade* do sistema em malha fechada). \n", "\n", "No entanto, a presença deste tipo de compensador torna possível aumentar o ganho $K_m$ do sistema (*reduzindo erros de acompanhamento de referência*) sem afetar de forma significativa a resposta do sistema em alta frequência. \n", "\n", "A configuração tipicamente escolhida para o *compensador de atraso* é um *dipolo*, ou seja, escolhem-se $z_g$ e $p_g$ com $\\displaystyle \\frac{z_g}{p_g} = \\beta$ tais que, sendo $\\bar p$ um *polo dominante* do sistema em malha fechada:\n", "$$\n", "\\left| \\bar p - z_g \\right| \\approx \\left| \\bar p - p_g \\right|\n", "\\quad \\Rightarrow \\quad \n", "|G_c(\\bar p)| \\approx \\frac{1}{\\beta}\n", "$$\n", "\n", "Desta forma, ao inserirmos na malha de controle um compensador de atraso, podemos amplificar $K_m$ em $\\beta$ vezes, reduzindo erros de acompanhamento de referência e mantendo praticamente inalterada a resposta do sistema em alta frequência. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 2.1. Síntese de um compensador de atraso\n", "\n", "Voltando ao exemplo anterior, vamos avaliar como reduzir em 10 vezes o erro de acompanhamento do sistema. \n", "\n", "Partimos da função de transferência em malha aberta já com o compensador de avanço:\n", "$$\n", "L_1 (s) = K_c \\underbrace{\\frac{1}{\\alpha} \\frac{(s - z_c)}{(s - p_c)}}_{\\text{avanço}} \\frac{N(s)}{D(s)}\n", "$$\n", "e a modificamos para a forma:\n", "$$\n", "L_2 (s) = \\overbrace{\\beta K_c}^{\\text{ganho}} \\underbrace{\\frac{1}{\\beta} \\frac{(s - z_g)}{(s - p_g)}}_{\\text{atraso}} \\underbrace{\\frac{1}{\\alpha} \\frac{(s - z_c)}{(s - p_c)}}_{\\text{avanço}} \\frac{N(s)}{D(s)}\n", "$$\n", "\n", "Considere as posições dos polos dominantes em malha fechada:" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_20254/3811511722.py:1: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", " plt.figure()\n" ] }, { "data": { "text/plain": [ "(array([-0.75518168+2.92356072j, -0.75518168-2.92356072j,\n", " -2.25438609+0.j , -0.4 +1.j ,\n", " -0.4 -1.j ]),\n", " array([-1. +0.j, -0.74133274+0.j]))" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e1b324e19cb841e79a3a802581afdd7e", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "ct.pzmap(rc_tf_lead)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Assim, escolhemos o *dipolo* com:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10.0" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "z_g = -0.1\n", "p_g = -0.01\n", "β = z_g/p_g\n", "β" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "E obtemos a nova função de transferência em malha aberta:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s^3 + 59.22 s^2 + 29.44 s + 2.384}{s^6 + 4.575 s^5 + 16.74 s^4 + 2.944 s^3 - 25.01 s^2 - 0.2504 s}$$" ], "text/plain": [ "TransferFunction(array([32.16245505, 59.22178147, 29.44363451, 2.38430809]), array([ 1. , 4.57474945, 16.73989586, 2.94393594,\n", " -25.00822134, -0.25035991, 0. ]))" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L_2 = L_1 * (s - z_g)/(s - p_g)\n", "L_2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para a qual obtemos o novo valor de $K_1$ para $L_2$ ($\\beta = 10$ vezes superior ao obtido para $L_1$):" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-9.523521817319317" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K1_2 = L_2.num[0][0][-1]/L_2.den[0][0][-2]\n", "K1_2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lugar das raízes da função de transferência $L_2(s)$:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3be394a50b81470fb861418d1511b9a2", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
\n", "
\n", " Sisotool\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.ion() # ativar o modo interativo\n", "ct.sisotool(L_2, xlim_rlocus=(-3, 2), ylim_rlocus=(-5, 5),\n", " rlocus_grid=True)\n", "plt.draw() # desenhar a janela interativa" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O compensador completo pode ser descrito como:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s^2 + 27.06 s + 2.384}{s^2 + 1.575 s + 0.01565}$$" ], "text/plain": [ "TransferFunction(array([32.16245505, 27.05932642, 2.38430809]), array([1. , 1.57474945, 0.01564749]))" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G_ll = G_lead * (s - z_g)/(s - p_g)\n", "G_ll" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Diagrama de Bode do compensador completo:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "74b7af25ddd24be3b55fa44217a37f29", "version_major": 2, "version_minor": 0 }, "image/png": 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i9OjRZGdn5y/Lyclh9OjRNGrUyMLIgsz110FYGPy5Blb+bnU0IiIi4mOWXwI+1fjx4+nbty9JSUm0aNECgN9//x2bzcaMGTMsji6IVK4EvXvBt9/Bp59B86ZmQigiIiIhwa9+67dv356tW7fyySefsH79egzD4LrrrmPgwIGULVvW6vCCS/++MG8B7N4Ds3+Eyy61OiIRERHxEb9KAAGio6O5/fbbrQ4j+EWXgX9dAxPeh6nT4PyOoCRbREQkJFh+D+CSJUuKXDYzM5M1a9Z4MZoQc2GXk8PCTPnS6mhERETERyxPAG+88UZ69OjB559/ztGjR89YZu3atTzxxBPUrVuXFStW+DjCIGa3w003mJ/nLcC25S9r4xERERGfsPwS8Nq1a3nnnXd4+umnGTRoEPXr16d69epERUVx+PBh1q9fT2ZmJldeeSUpKSk0bdrU6pCDS7265pnA+Quxf/IZtG1pdUQiIiLiZZYngOHh4dx9993cfffdrFixggULFrBt2zaOHTtGixYtuP/+++nWrRsVKlSwOtTgdd018Nsy7H9tJSlB+1lERCTYWZ4Anqp169a0bt3a6jBCT/lycEV/mDSFxn/8CceOQXi41VGJiIiIl1h+D6D4iUt7YlStQlR2DvavNeaiiIhIMFMCKKawMFwD/wWA/YcfYVeqxQGJiIiItygBlHxGi2bsqV4Vm8sF/zdJ7wkWEREJUkoApYA/WzbHCAuDP1bDilVWhyMiIiJe4LcJYHZ2ttUhhKTM2BjcvXqYM//3KeTmWhuQiIiIeJxfPQXsdrt57rnnGD9+PHv37mXjxo3UqVOHESNGULt2bW699dYi1zVu3DjGjRvHtm3bAGjSpAlPP/00vXv3BsAwDEaOHMmECRM4fPgwHTp0YOzYsTRp0sQbXy2guPtdhmPxEti3H7773nxCWEREgpdhmJPLBS43uE/56TYgN5eorCw4cBAcDjDc5nLjn9M/lrvdp3w2gFM+G+7TPtucTqruSsW2fKX5sgIMqFEDalS3eg8FHb9KAEePHs1HH33Eyy+/zG233Za/vFmzZrz++uvFSgATExN58cUXqVu3LgAfffQR/fv3Z+XKlTRp0oSXX36Z1157jQ8//JD69eszevRoevTowYYNG4iNjfX4dwsoUVEw6F/w1niY/i2c3xkqV7I6KhGRwGYYkJNDRHaOmUi5XOZVlpyc41MuOHPBmQd5eeB0nvzpzANXnvkzf3ke5DlPls/LO57AuczE60zJnMtdcL3bffLzOYQDvQC+neXVXRQGdABY+MvJhVcNgKuu8Gq7ocivEsCPP/6YCRMm0L17d4YOHZq/vHnz5qxfv75YdfXt27fA/HPPPce4ceP45ZdfaNy4MWPGjOHJJ5/kyiuvBMwEsUqVKkyaNIk77rij9F8m0HXqCD/Pg7Xr4KP/g4fuB5vN6qhERHzPMMx3pmdkQFYWZGVhS88gaevf5qgJOTmQdez4umM4MjO5cPduwhb8YiZ4uScTvHCgN8DX31n8pYrBbsew2XAbBvawMGw2G9htYDt+F9mJz/nLj8/nfz51+sdyu73AerfNxpEjRyhXvjz2E+sqVrT2+wcpv0oAd+3alX/G7lRutxun01niel0uF1988QWZmZl06tSJrVu3smfPHnr27JlfJjIykosuuojFixefNQHMyckhJycnfz49PR0Ap9NZqvhO1HHqTyvqOm27wdcT9tRIbCt/J+/X3zBatypRO0UpV1iZc6335L7zFV/F7A/9qiTbeqpvqV/5f1uW9au8PDiShu3IETh8BFtaGmQchYwMbOnpdN6+HceipRhHM+HoUWx5eQXqCgNaA/y6/LR27EB5AA6fNRYjPBwiIiAyEiIjICICIzLSHIQ/PAzCjv90OMyyYWEnl+d/DoPwcAyHw9wuLAzCHGB3gMNuXqq1n/xpOBxmQuU4vt7+z5+nb2NehjX3WUpKCj169CDciy8KcDqdLDhTOx7uH4H0/9pbbIbhP2N9tG3blvvuu48bbriB2NhYfv/9d+rUqcPIkSP58ccfWbBgQbHqW716NZ06dSI7O5uYmBgmTZpEnz59WLx4Meeffz67du2ievWT9xXcfvvt/P3338yePfuM9T377LOMHDnytOWTJk0iOjq6eF82QDT640/qr9tIVnQZfu7dA1eYX/3NICJyOrdBVPYxyh7NIjozk+jMTKKOZRN17BhRx7IpcyybyFP+mC+qPIcDZ0Q4eeHhOE+Z8sLDTlueFx5GXlg4rjAHeQ4HrrAwXGEOXA4HeY4w8yyYWCYrK4uBAweSlpZGXFyc1eFYwq9+mz/zzDMMHjyYXbt24Xa7mTp1Khs2bODjjz9mxoziv52iQYMGrFq1iiNHjvDVV19x0003MW/evPz1tn9c0jQM47Rlp3r88cd54IEH8ufT09NJSkqiZ8+epe5AnvzrqqR1nXG77t0xnnia6AMH6Z3txH1tv2K3U5RyhZU513pf/WXqSb78a9rqflWSbT3Vt9Sv/L+tEtfjdpOXupvfv59F66pVcRw8hG3/AWz798OBg+Z4poUwwsKgXDmMcvFQLh4jNhZiYnCVjWb11q006dQJR/lyEBsDMTEQGUkY5i9Ox9nOVBXynQKxX0HwHbNOXMELZX6VAPbt25cpU6bw/PPPY7PZePrpp2ndujXffvstPXr0KHZ9ERER+ZeU27Zty2+//cYbb7zBo48+CsCePXuoVq1afvl9+/ZRpUqVs9YXGRlJZGTkacvDw8M99h/CH+oqsF14ONx0A7z6Bo5ZP+C46AJIrFGidopSrrAy51rvyX3nK76K2R/6VUm29VTfUr/y/7bOWo/bDbv3wN/bzTcUpaZC6m7YvYfwvDw6nq1ChwMSKkKlSlApASpWIC82lt+2bKZtjx6EV6qELTYGbDb++We/2+lk58yZNG/VolTHrGDrVxA8x6xA3Pee5lcJIECvXr3o1auXV+o2DIOcnBySk5OpWrUqKSkptGpl3teWm5vLvHnzeOmll7zSdkBr0xpatzQHhv7wY3jyMT0QIiKe53TCjp2w7e+T044d5tOxZ2CEh5NeNprYBvWxV6tmjlZQuZKZ9FUobyaBp5Z3OtmXdRRqJpl/3IqEML9LAD3liSeeoHfv3iQlJZGRkcHkyZOZO3cus2bNwmazcd999/H8889Tr1496tWrx/PPP090dDQDBw60OnT/dOMN8OdaWLseFv8C53eyOiIRCXSHj2Bbt54mK//AsWyVeZbvHw9bAObDEjWTzKsPNapD9epQozp58XHMnTWLPn36YFdCJ1IslieA5cuXP+d9d6c6dOhQkevdu3cvgwcPZvfu3cTHx9O8eXNmzZqVfyn5kUce4dixY9x11135A0H/8MMPGgPwbCpXggH94PMv4ZPPoFUL/QUtIsWz/wCsWWtOGzfB/gOEAQXGfogpC7VqQe1TpmpV859GLUBPcoqUmOUJ4JgxY/I/Hzx4kNGjR9OrVy86dTLPMC1ZsoTZs2czYsSIYtX7/vvvn3O9zWbj2Wef5dlnny1uyKHrskthwSLYvRs+/8ocLFpE5Gwyjp5M+P5cC3v3Flxvs2Ek1mBbRDhJ3S8mrFEDqFxZt5iI+IDlCeBNN92U//mqq65i1KhR3H333fnLhg8fzltvvcWPP/7I/fffb0WIckJ4ONwyGJ5/GVJ+wtaxvdURiYg/MQzzQY0Vq2DFSti02Vx2gt0O59WBJo2hUQM47zzywsP4Y+ZMEs/vpKsKIj5keQJ4qtmzZ5/xIYxevXrx2GOPWRCRnKZpE/P+v0VLcHzwEbZO7ayOSESs5HbDuvWwbLmZ+O3dV3B9UqKZ8DVtAg0bQHSZgut1GVfEEn6VAFasWJFp06bx8MMPF1g+ffp0KupVMP5j8ED4fTW2nbuou6EcXG51QCLiU4aBbctfNFn5B2Gzf4YjR06uCwuDJo2gdStz9AAdu0X8kl8lgCNHjuTWW29l7ty5+fcA/vLLL8yaNYv33nvP4ugkX1wc3HA9jH+XBmvW4d67FxITrY5KRLwtdTfMXwhLlhK2f//Jhzeio6FNK3PIqGZNoEyZc9UiIn7ArxLAm2++mUaNGvHmm28ydepUDMOgcePGLFq0iA4dOlgdnpzqgvNxL1iEY81abB/+n8YGFAlW2Tmw9FeYOx82bMxfbERGsqtKJapeMYCw1i11/55IgPGrBBCgQ4cOfPrpp1aHIYWx2XDdPBj3Y08RtnY9zFsAXS+0OioR8ZS/tsJPc+CXpXAs21xms0HLFnDB+eQ1bczyn36ij5I/kYDkVwng9u3bz7m+Zs2aPopEiqRyJTY0bUST3/+ETyebYwPGx1sdlYiUlMsFvy2DWSnmOH0nVKkMF10IF54PFSqYy/TwhkhA86sEsHbt2uccFNpVhJd7i29tqV+XxkfSsf29HT7+FO65y+qQRKS4Mo7CnLnww09wYsB9hwM6tIOLu5pP755pIGYRCVh+lQCuXLmywLzT6WTlypW89tprPPfccxZFJedi2O3k3XIj4SOfgyVLocv55plAEfF/Bw/Bd9/Dz3Mh9/j7duPi4JJu0P1iKF/OyuhExIv8KgFs0eL0xKFt27ZUr16d//73v1x55ZUWRCWFSq4NfXrBd7Pggw/hpedPH+tLRPzHnr3w7XfmE70nrqzUrgWX9oROHXRPn0gI8KsE8Gzq16/Pb7/9ZnUYci5XXQm/LYd9+2HSZPj3LVZHJCL/tCsVpn1tnq0/8YaOxg2hf19zoGY9yS8SMvwqAUxPTy8wbxgGu3fv5tlnn6VevXoWRSVFEhUJt98Ko180Lyd1aAfNmlodlYgA7D9gJn7zFpxM/Fq1MBO/+jq2ioQiv0oAy5Urd9pDIIZhkJSUxOTJky2KSoqscSPoeQn88CNMeF+XgkWslpYO078xh3PJyzOXtWkNVw0wL/mKSMjyqwRwzpw5BebtdjuVKlWibt26hIX5VahyNv+6Flb9bl4K/vQzuG2I1RGJhJ6cHPh6hvmAR06OuaxJY7juaqh7nrWxiYhf8Kusymaz0blz59OSvby8PObPn8+FF2qgYb8XFQl3/Bv+8wLMmWdeCm7U0OqoREKD203itu2EPfoUHD5sLquTDNddY76iTUTkOL8a2Klbt24cOjEG1SnS0tLo1q2bBRFJiTRqaF4KBnj3Azh2zNp4RELB5i04Rr9Im6XLsB0+DAkJMHwY/OcZJX8ichq/OgNoGMYZB4I+ePAgZcuWtSAiKbFTLgU7PvsCqiZYHZFIcDpyBCZNgYWLsQN5YQ5sA/rhuLwPRERYHZ2I+Cm/SABPjO9ns9m4+eabiYyMzF/ncrn4448/6Ny5s1XhSUmccinYPm8+lS483+qIRIKL220+cT/5C8jKMhd16cxPFeK5uO9lODSWn4icg18kgPHH3x9rGAaxsbGUKXPyydGIiAg6duzIbbfdZlV4UlKNGkKvHjA7hda/LjfvQypf3uqoRALf9u3w3oeweYs5n1wbhtyEq2YS2TNnWhmZiAQIv0gAJ06cCJjvAn7ooYd0uTeY/OsajD9WE7V7D+6JH8P9wzXYrEhJZefAV9Pg+9nmGcAyUXDNVeY9t3Y7OJ1WRygiAcKvHgJ55plnlPwFm8hI8obehttmw75shfnqKREpvjVr4dEnzKFd3G5o3w7++4L5+ja7Xx3KRSQAWH4GsHXr1vz000+UL1+eVq1anfEhkBNWrFjhw8jEY2rXYn2zxjT+Yw189Ak0bABVKlsdlUhgOHbMfMjjp+PjpCYkwC2DoVVLS8MSkcBmeQLYv3///Ic+BgwY4LF6X3jhBaZOncr69espU6YMnTt35qWXXqJBgwb5ZY4ePcpjjz3G9OnTOXjwILVr12b48OHceeedHotDTJsa1Kdhdi72jZtg3Dsw4glwOKwOS8S/rVlrvlVn/wFz/pKLYeB1EBVlbVwiEvAsTwCfeeaZM34urXnz5jFs2DDatWtHXl4eTz75JD179mTt2rX5l5nvv/9+5syZwyeffELt2rX54YcfuOuuu6hevTr9+/f3WCwC2G24br8V+4iRsHEzfDMDrtA+Fjmj7GzzrN+PP5vzCQlwx63m2zxERDzA8gTwTHJzc9m3bx9ut7vA8po1axa5jlmzZhWYnzhxIpUrV2b58uX5bxRZsmQJN910E127dgXg9ttv55133mHZsmVKAL2h0vFLV29PgK+mQ7Omei2VyD9t3Axjx8P+/eb8JRfD9ddCGb1XW0Q8x6/uHN64cSMXXHABZcqUoVatWiQnJ5OcnEzt2rVJTk4uVd1paWkAVKhQIX9Zly5d+Oabb9i1axeGYTBnzhw2btxIr169StWWnMP5naFjB/Mm9rfG5Y9fJhLyXC7zCd9Rz5nJX0ICPPEIDLlJyZ+IeJxfnQG85ZZbCAsLY8aMGVSrVu2cD4QUh2EYPPDAA3Tp0oWmTZvmL3/zzTe57bbbSExMJCwsDLvdznvvvUeXLl3OWE9OTg45J16sDqSnpwPgdDpxlnL4hRPbl7ae0tRV3O2KWv60cjcOJGzzZmz79uOe8D6uu+7AmZd3zrrO1ZYn952v+Cpmf+hXJdm2xH3Lg+t92q/278cx/j3sx8f1c3fuiGvwQIiOLtbQLr6M2VNtBWK/KqyM3/QrDwq2Y1ag7X9vsBmGYVgdxAlly5Zl+fLlNGzY0KP1Dhs2jO+++46FCxeSmJiYv/yVV17h3Xff5ZVXXqFWrVrMnz+fxx9/nGnTpnHJJZecVs+zzz7LyJEjT1s+adIkoqOjPRpzsCt/4BBdfp6H3TBY1aYlf9etY3VIIpZI3Lad5stXEZ6XhzM8jN/btGJXrSSrwxIJallZWQwcOJC0tDTi4uKsDscSfpUAtmvXjtdff/2sZ+BK4p577mH69OnMnz+/wGXkY8eOER8fz7Rp07jsssvyl//73/9m586dp91DCGc+A5iUlMSBAwdK3YGcTicpKSn06NGD8FK+wqmkdRV3u6KWP1s5+8zZOKZ8gREeRvYTj/LD+nVnretcbXly3/mKr2L2h35Vkm1L27c8sd7r/0ZZWTg+/hT7kqUAuOvXw3X7rea9siXky/8LnmorEPtVYWWC7XgFwXfMSk9PJyEhIaQTQL+6BPzSSy/xyCOP8Pzzz9OsWbPT/sGK849kGAb33HMP06ZNY+7cuafdQ3jisq39HwOoOhyO0x4+OSEyMrLAe4pPCA8P99h/CH+oq7jbFbX8aeX69oENG7Gt+p2oCe/j6NS+0LrOtd6T+85XfBWzP/Srkmxb4r7lwfVe+Tfa9je8/j/zXj+7Ha4agL3f5dg9NDSSL/8veKqtQOxXhZUJtuMVBM8xKxD3vaf5VQJ44rJr9+7dCyw3DAObzYbL5SpyXcOGDWPSpEl8/fXXxMbGsmfPHsB873CZMmWIi4vjoosu4uGHH85/6GTevHl8/PHHvPbaa577UnJ2djsMvQ0efwrb7j00X7EK+vezOioR75ozDz78P/PevkqV4J479TS8iPicXyWAc+bM8Vhd48aNA8gf4uWEiRMncvPNNwMwefJkHn/8cQYNGsShQ4eoVasWzz33HEOHDvVYHFKIuFi4+06M0S9Sc9t28uYvhO7drI5KxPNycszEb94Cc751Sxh6O8To9Zci4nt+lQBedNFFHqurKLc2Vq1alYkTJ3qsTSmhRg1xX9kfx1fTcXz8KdRJhuTaVkcl4jl79sIbb8Hf28Fmg+uuhsv76B2+ImIZv0oA//jjjzMut9lsREVFUbNmzTPegyeBz315H/Yv+YWqqXvMe6OeGwmxMVaHJVJ6vy2H8e+a7/SNi4N77oImjayOSkRCnF8lgC1btjzn2H/h4eFcd911vPPOO0TpXZjBxW5neYe29Fm0FNu+/fDW2/DoQzpDIoHL5YIpX8KMmeZ8/Xpw7zAoX97auERE8LM3gUybNo169eoxYcIEVq1axcqVK5kwYQINGjRg0qRJvP/++/z888889dRTVocqXpAXEUHe8GEQGQGr18DnX1kdkkjJHD4Cz710Mvnrcyk89ZiSPxHxG351BvC5557jjTfeKPAqtubNm5OYmMiIESP49ddfKVu2LA8++CCvvPKKhZGK1yQlwm1D4K3x8M0M837A9m2tjkqk6NathzffhrQ0KBMFd/wb2rezOioRkQL8KgFcvXo1tWrVOm15rVq1WL16NWBeJt69e7evQxNf6twJtmyF72eb905VrwZVKlsdlci5GYZ5xm/Kl+a7rpMS4b57oFpVqyMTETmNX10CbtiwIS+++CK5ubn5y5xOJy+++GL+6+F27dpFlSpVrApRfOX6a6FRQ8jOhldeh4wMqyMSObvMTHjtTfjsczP5u+B8GPW0kj8R8Vt+dQZw7Nix9OvXj8TERJo3b47NZuOPP/7A5XIxY8YMAP766y/uuusuiyMVrwsLM2+YHzEK9u3H8ebb2Js3tjoqkdNt+9sc4mXvPrPf3nQDXNzVHO5FRMRP+VUC2LlzZ7Zt28Ynn3zCxo0bMQyDq6++moEDBxIbGwvA4MGDLY5SfCYuDh6+D54ZjX3jJlrk5sDll1sdlchJc+fDxI+Pv9UjAe6927xvVUTEz/lVAggQExOjN3HISYmJMPwujJdfo+a27bhmzoIBel2cWCw313yrx9z55nyrFnDn7RCjsStFJDD4XQIIsHbtWrZv317gXkCAfv30iz8ktWiOe9C/cHzyGfYvpkKNGtCujdVRSajauxfGnPJWj2uugn6XacxKEQkofpUA/vXXX1xxxRWsXr0am82W/zq3E4NDu1wuK8MTC7kvuZjtS34hectWeHs8PPkY1D3P6rAk1CxbYT6ZnpWV/x5rmjaxOioRkWLzqz9Z7733XpKTk9m7dy/R0dGsWbOG+fPn07ZtW+bOnWt1eGIlm43VrVvgbtYEcnLhv6/D7j1WRyWhwuUyn/B97Q0z+atfF54fpeRPRAKWXyWAS5YsYdSoUVSqVAm73Y7dbqdLly688MILDB8+3OrwxGKG3Y5r2J2QXNscFubF/8KRI1aHJcHuSBq88DJ8+50537snPPU4VKhgbVwiIqXgVwmgy+Ui5vhN1AkJCaSmpgLmQNAbNmywMjTxF2Wi4JEHzIGh9x+Al16FY8esjkqCVIX9Bwh7ZhSsXQ9RUTB8GAweZA73IiISwPwqAWzatCl//PEHAB06dODll19m0aJFjBo1ijp16lgcnfiN+Hh47CFzmJi/t+N4cyx23R8qnmQY2GfO5vw5C7AdSYPEGjD6WejY3urIREQ8wq8SwKeeegq32w3A6NGj+fvvv7nggguYOXMmb775psXRiV+pUsU8ExgZiX3tetos+Q3y8qyOSoJBZia8/iaOKV9gNwzcnTvCqGfMVxKKiAQJv7qO0atXr/zPderUYe3atRw6dIjy5cvnPwkskq9OMjxwL8Z/X6P6rlTcEz6Ae+7UcBxSclu3mW/12LcfIyyMP1o0pfHtt2KPiLA6MhERj/L735QVKlRQ8idn16wJrruH4rbZsC/9FSa8b76LVaQ4DAN+mgPPjoZ9+6FSJfKeeoxtdevolW4iEpT84gzgkCFDilTugw8+8HIkEoiMVi1Z1qk97Zb8im3+QoiIgFtu1C9uKRKHMw/HO+/BkqXmgjat4I7bIDIC1q21NjgRES/xiwTwww8/pFatWrRq1Sp/8GeR4tidVANXs1sJm/A+/Piz+ZTm4IFKAuXcdqVy0Y9zsKdnmLcOXHcNXN7b7DdOp9XRiYh4jV8kgEOHDmXy5Mn89ddfDBkyhBtuuIEKGmNLisno3NG8/PvuBzDrB/MX+C036p5AObOFiwh770Nic3MxypXDNvwuaNjA6qhERHzCL34zvv322+zevZtHH32Ub7/9lqSkJK699lpmz56tM4JSPN0ugttvNc/g/DQH3nnPfIuDyAnZOea9om9PwJaby/4qlcj7z9NK/kQkpPhFAggQGRnJ9ddfT0pKCmvXrqVJkybcdddd1KpVi6NHj1odngSSrhfCsDvMM38LFsHY8RoiRkzb/oYnn4G588Fmw9W/L4sv7GKOKSkiEkL8JgE8lc1mw2azYRhG/riAxfXCCy/Qrl07YmNjqVy5MgMGDDjj20TWrVtHv379iI+PJzY2lo4dO7J9+/bSfgWxWudOcO8wcDjgl1/h9f9BTo7VUYlVDMO8LeDpUbB7N5QvB08+ivvK/mDXfaIiEnr8JgHMycnhs88+o0ePHjRo0IDVq1fz1ltvsX379vzXwxXHvHnzGDZsGL/88gspKSnk5eXRs2dPMjMz88ts2bKFLl260LBhQ+bOncvvv//OiBEjiIqK8uRXE6u0awsP3gvh4bByFTz3EqRnWB2V+FhEdg6O1/8HH39qnglu0wpeGA2NG1kdmoiIZfziIZC77rqLyZMnU7NmTW655RYmT55MxYoVS1XnrFmzCsxPnDiRypUrs3z5ci688EIAnnzySfr06cPLL7+cX06vnAsyLVvA44/Aq2Ng8xYYORoeedB8l7AEPduadXSb/RP27GzzD4FB/4Ie3fV0uIiEPL9IAMePH0/NmjVJTk5m3rx5zJs374zlpk6dWuI20tLSAPKfLna73Xz33Xc88sgj9OrVi5UrV5KcnMzjjz/OgAEDStyO+KGG9eHZp+ClV2D3HnjmP+Zr5OokWx2ZeEtODkz+grDZKYQBRvVq5lO+NWtaHZmIiF/wiwTwxhtv9OrbPgzD4IEHHqBLly40bdoUgH379nH06FFefPFFRo8ezUsvvcSsWbO48sormTNnDhdddNFp9eTk5JBzyn1k6enpADidTpylHDPsxPalrac0dRV3u6KWL0q5wsqca32R4qhcCZ56nLDX3sC2fQfGf17AdfutGG1bnzN2b/Hkv7ev2ilNXb7sW7Ytf+F49wNsu/cAsPW8ZKo8cB/hMWVPG9uv1P3Kz/gyZk+1FSj9qjhlgq1fQfAdswJt/3uDzQiBcVaGDRvGd999x8KFC0lMTAQgNTWVGjVqcP311zNp0qT8sv369aNs2bJ89tlnp9Xz7LPPMnLkyNOWT5o0iejoaO99AfGYMKeTdouWUnnvPgDWN2nEhiYNdUkwCNhcbhqsXUe9dRuxGwbHykSxql1r9lWranVoIuJnsrKyGDhwIGlpacSF6CgAfnEG0JvuuecevvnmG+bPn5+f/AEkJCQQFhZG48aNC5Rv1KgRCxcuPGNdjz/+OA888ED+fHp6OklJSfTs2bPUHcjpdJKSkkKPHj0IDw+3pK7iblfU8kUpV1iZc60v9ve9/HJck7/A8cOPNFyzjvplyuC6bQj48OEfT/57+6qd0tTl7b7Vs1Fjoj74CNv2HQC4O7YnbPBAWkRG+q5f+QFfxuyptvy5X5X0mBVs/QqC75h14gpeKAvaBNAwDO655x6mTZvG3LlzSU4ueL9XREQE7dq1O21omI0bN1KrVq0z1hkZGUlkZORpy8PDwz32H8If6irudkUtX5RyhZU51/oixx0eDjcPhtq14P0PsS9bgX3vPrjvHvDx2SJP/nv7qp3S1OXxvpXrpOHqNUR9+TU2lwtiYmDITdg7tjeHODh+mccn/cqP+DJmT7XlV/2qGOVK2ncCsV9B8ByzAnHfe1rQJoDDhg1j0qRJfP3118TGxrJnj3k/UHx8PGXKlAHg4Ycf5rrrruPCCy+kW7duzJo1i2+//Za5c+daGLn4TNcLoXo1c4zAHTvNAYJvvRnO72R1ZFIU69YT9u4HNNiz15xv2xqG3ATlylkalohIIAjaBHDcuHEAdO3atcDyiRMncvPNNwNwxRVXMH78eF544QWGDx9OgwYN+Oqrr+jSpYuPoxXL1K8Hz4+Et8bDuvXmW0PWroObboCICKujkzPJzIRJU2DOPGxAdlQkYbcNIaxTR6sjExEJGEGbABb12ZYhQ4YwZMgQL0cjfq18eXjiEZj6NUz/BubMM8cMHHaHhg3xJ243LFwMkz+HI+awTq6uF/JT+Th6tm1jcXAiIoElaBNAkWJxOOCaK6FhA3j7neOXhJ+Fq66Avn3M9WKdv7bCR5/Aps3mfLVq8O+bcdc9j7yZM62NTUQkACkBFDlVsybw4n/g/Q9h2Qr4/EtYvgKG3gY1qlsdXehJz4Cp02HufPN9vpGRcEV/6N3TfJhHY3mJiJSIEkCRf4qPh/uHm5cbP/oEtvwFTzwN/fuaZwP19Jj35eZSd90Gwr79HrKOmcs6d4KB18Lxt/mIiEjJKQEUORObDS44H5o0gnc/gN9Xw5dTYeEiuOVGaNbU6giDk8sF8xcS9uU0mhw+bC6rVdN8KKdhA2tjExEJIkoARc6lQgV45EH45Vf4v0mwZy+88F/o2B6uvw4qJVgdYXBwu81L7Z9/BbtSsQFZ0WWIuGEgYRd2Abvd6ghFRIKKEkCRwths0KkDtGhungWcnWImhMtWQK8e5qXhmLJWRxmY3G5Y+pv59PWOneaymBhcffvwkzOHS8/vpORPRMQLlACKFFV0GbhxEFzYBT75zBwv8LvvzQcU+l8OPS/R2IFF5XLBoiXw9QzYvdtcViYKevWEy3vjDg/Hrad7RUS8RgmgSHHVrgVPPgq//wGffW6euZo0BWZ8D30uhUsuNpNFOd3Ro7BgMfzwIxw6ZC4rW9Z8qrdnj5NnUvV0r4iIVykBFCkJmw1atoDmzWD+Qpj2New/YA5S/M0MuLQH9LgE4uOsjtQ/7Eql+bKVhE2bAbm55rK4OCXMIiIWUQIoUhp2u/lO4S6dYfEvJy9pTv0avvnOfFik5yVwXh0zaQwlx46Z90rOm0/4xs0kn1heqyb07mXuG10yFxGxhBJAEU8ICzPvDezSGX79zbwc/NdWcyzBhYshubaZKHbsALExVkfrPS6X+U7lhYth6a+QY57tM+x2dlerSuUbbyCsaePQS4ZFRPyMEkART7LbzSSvYwfzfcIpP5lnwbZuM6ePP4WWLbB16oAjL8/qaD0jL898IGbpb+aT0RkZJ9dVqwZdLyCvY3t+W7yYPg3rK/kTEfEDSgBFvKXueeY06HpYsMgcRPrv7bB8BWHLV3Cpw4H9r+3QtjW0agHlylkdcdEdPAR/rDanP9dCZubJdTEx0K4NXHQB1KtrJnx6qENExK8oARTxtrhYuOxSc9qxExYtxlj8C2EHDsLKVeYEUDMJGjU0p4YNzO38gWHAvv3Y1m+g+fJVhC38BXalFiwTFwvt2kKHdmb8Doc1sYqISJEoARTxpaRE+Ne15F05gIWfTebCsrE4Vv1u3i+4fYc5zU4xy1apAsm1zGFnatWCmonmWUJvXkLNy4Pde8xEdcdO2LEDtmyFtDTC4OSDHDab+WBL82bmVLeOBmwWEQkgSgBFrGCzkV4uHnefPjiuvgLS0mDdBvMBinXrYecu2LvXnH759eR2ERFQpTJUrmy+hi4+zjz7FhcHsbHm+vDw4z/DINdJmcwssx6bHbKz4WgmZB41f6alw4EDcOCgOYzNoUPm2zn+yeHAXbsWfzns1O7Zg7DmTc1LvSIiEpCUAIr4g/h4c1iUju3N+fQM2LYNtm0//vNv2LvPHEPvxNm5IggHegLMmFX0WMqUgaQakJhonrGsVQvq1MZls7Fm5kxqtWtjJpkiIhKwlACK+KO42JOXV0/IyzPP1O3dayaDBw+aiWJ6unkmL+Oo+bBFbq750+nEsNlw22zYI8KxOcIgMtIchqZsWfOtG7GxkFAREhLMM4oJFaF8+TNfZtaDHCIiQUMJoEigCAuDqlXMqSgMg7y8PGbOnEmfPn0I11k7ERE5TndtiwQrjbcnIiJnoQRQREREJMQoARQREREJMUoARUREREKMEkARERGREKOngEvBMAwA0tPTS12X0+kkKyuL9PT0Uj+tWdK6irtdUcsXpVxhZc613pP7zld8FbM/9KuSbOupvqV+5f9tBWK/KqxMsPUrCL5j1onf2yd+j4ciJYClkJGRAUBSUpLFkYiIiEhxZWRkEB8fb3UYlrAZoZz+lpLb7SY1NZXY2FhsHhhyo127dvz2228eiKzkdRV3u6KWL0q5wsqcbX16ejpJSUns2LGDuLi4woP2E5789/ZVO6Wpy6q+pX7l/20FYr8qrEyw9SsIrmOWYRhkZGRQvXp17CH6HnOdASwFu91OYmKix+pzOBweOyCUtK7iblfU8kUpV1iZwtbHxcUF1AHVk//evmqnNHVZ1bfUr/y/rUDsV4WVCbZ+BcF3zArVM38nhGba66eGDRtmeV3F3a6o5YtSrrAyntw//sBX38cf+lVJtvVU31K/8v+2ArFfFVYm2PoVhN4xK9jpErAEvPT0dOLj40lLSwu4v6jFf6lfiTeoX4m/0BlACXiRkZE888wzREZGWh2KBBH1K/EG9SvxFzoDKCIiIhJidAZQREREJMQoARQREREJMUoARUREREKMEkARERGREKMEUELKFVdcQfny5bn66qutDkUC2IwZM2jQoAH16tXjvffeszocCSI6Romv6ClgCSlz5szh6NGjfPTRR3z55ZdWhyMBKC8vj8aNGzNnzhzi4uJo3bo1S5cupUKFClaHJkFAxyjxFZ0BlJDSrVs3YmNjrQ5DAtivv/5KkyZNqFGjBrGxsfTp04fZs2dbHZYECR2jxFeUAIrfmD9/Pn379qV69erYbDamT59+Wpm3336b5ORkoqKiaNOmDQsWLPB9oBLQStvPUlNTqVGjRv58YmIiu3bt8kXo4ud0DJNAogRQ/EZmZiYtWrTgrbfeOuP6KVOmcN999/Hkk0+ycuVKLrjgAnr37s327dvzy7Rp04amTZueNqWmpvrqa4ifK20/O9NdMzabzasxS2DwxDFMxGcMET8EGNOmTSuwrH379sbQoUMLLGvYsKHx2GOPFavuOXPmGFdddVVpQ5QgUJJ+tmjRImPAgAH564YPH258+umnXo9VAktpjmE6Rokv6AygBITc3FyWL19Oz549Cyzv2bMnixcvtigqCTZF6Wft27fnzz//ZNeuXWRkZDBz5kx69eplRbgSQHQME38TZnUAIkVx4MABXC4XVapUKbC8SpUq7Nmzp8j19OrVixUrVpCZmUliYiLTpk2jXbt2ng5XAlRR+llYWBivvvoq3bp1w+1288gjj1CxYkUrwpUAUtRjmI5R4itKACWg/PNeK8MwinX/lZ7WlKIorJ/169ePfv36+TosCQKF9S0do8RXdAlYAkJCQgIOh+O0s3379u077S9qkZJSPxNvUd8Sf6MEUAJCREQEbdq0ISUlpcDylJQUOnfubFFUEmzUz8Rb1LfE3+gSsPiNo0ePsnnz5vz5rVu3smrVKipUqEDNmjV54IEHGDx4MG3btqVTp05MmDCB7du3M3ToUAujlkCjfibeor4lAcXip5BF8s2ZM8cATptuuumm/DJjx441atWqZURERBitW7c25s2bZ13AEpDUz8Rb1LckkOhdwCIiIiIhRvcAioiIiIQYJYAiIiIiIUYJoIiIiEiIUQIoIiIiEmKUAIqIiIiEGCWAIiIiIiFGCaCIiIhIiNGbQErB7XaTmppKbGzsaS/4FhEREf9kGAYZGRlUr14duz00z4UpASyF1NRUkpKSrA5DRERESmDHjh0kJiZaHYYllACWQmxsLGB2oLi4uFLV5XQ6+eGHH+jZsyfh4eGW1FXc7YpavijlCitzrvWe3He+4quY/aFflWRbT/Ut9Sv/bysQ+1VhZYKtX0HwHbPS09NJSkrK/z0eipQAlsKJy75xcXEeSQCjo6OJi4vzSKcvSV3F3a6o5YtSrrAy51rvyX3nK76K2R/6VUm29VTfUr/y/7YCsV8VVibY+hUE7zErlG/fCs0L3yIiIiIhTAmgiIiISIhRAigiIiISYnQPoIhIaTidcOQIHEmDrGOQkw3HsiE721z3T+HhUKYMREVCZBSUiYLYWCgXD1FREML3JImI7ygBFBEpTFo6pKbC7j2we7f5c/8BOHwYjmZ6rp2ICIiPN5PBSglQuTJUrgRVKpufy5eDEB2zTEQ8SwmgiMipsrJg02bsm7bQfulSwlLmwKHD594mLAzKlYOy0eZZvKhI8+eZnjzMdZpnCbNzzLOEx45Beob5OTcX9u83p02bT982KgoSa5hTUhIk1YCkRDNpFBEpBiWAIhLSHM48bL+vho2bYO062LoNDAMHUO1EIZvNPCNXrRpUq2pOVSpDhfLHE7+ypb90m50DaWnmdPgI7NsP+/Ydn/bDgYNmkrh5izmdqkJ5qJOMvXZtKu3fB5lZ5llEEZGzUALoAU6nE+eZ7vUpZh2n/rSiruJuV9TyRSlXWJlzrffkvvMVX8XsD/2qJNt6qm+ddf2hQ9hX/o59xUp6r12Pw+0usNqoUhlX7dqsyzlGvZ49cJxXxzz7djZ5eeeMs0gcdjORq1Aeks/Sxt592HbuwrZrl/lz5y7Ytx/bocNw6DCOZSvoDDBvIUbVKhh16uCuXxejQT0zefXg/YWe6luB2K8KKxNsxysIvmNWoO1/b7AZhmFYHUSgGTt2LGPHjsXlcrFx40YmTZpEdHS01WGJyDlEZWWR+PdOauzYSbnDRwqsyywbzYHKlfKn7Ogy1gRZAg5nHvFHjlD+4GHKHTpM+UOHKJuZdVq5nMgIDiYkcLBSRQ5VSiCtXDyG7ieUEJWVlcXAgQNJS0sr9YscApUSwFJIT08nPj6eAwcOeORNICkpKfTo0cMjo5+XpK7iblfU8kUpV1iZc6335L7zFV/F7A/9qiTbeqpvOY8cYeP/fUqz9KPYN23GdvxwZ9hsGOfVIa9FcxZkHaXTlVcQHhHhse9rlfyYO3YiYsdObFu2YNuwCduWv7D944yHERWJUa8uRqOGuJs0hppJxXrAxFP7JxD7VWFlgu14BcF3zEpPTychISGkE0BdAvaA8PBwj/2H8Ie6irtdUcsXpVxhZc613pP7zld8FbM/9KuSbFuivmUY5gMUP/5M2NJfaek85fJswwZwfidsbdtgi4/D5nRydOZMwiMigqtfVShPWJXK0La1ucDpNO9tXL8RNmyADZuwZWVhW70GVq/BwVcQUxYaN4ImjaFpE6hapUiXjD21f/y+X5WgTLAdryB4jlmBuO89TQmgiASHY8dg4WL4aQ5s3wGADUiPi6Nsr0twXNAFEipaG6NVwsOhfj1z4jJwu2HnTlizHtasgXXrzeFsfl1mTgAVKkDTxscTwsZQvrylX0FEPEsJoIgEtKisLOyffQ7z5psDMIOZ8HTqQF7XC5mzfh19LuuDQ3/xn2S3Q82a5tS7J7hcsGWrmQyuWQsbN8OhQzB/oTkB1Khunhls2hgaNTzzEDciEjCUAIpIYNq+A8c339FjyS/YT9zKXK0aXNINLugCMWUxnE7YsN7aOAOBwwH165rTFf0hJ8ccFufPtWZCuHUb7Eo1p9kpYLfjSK5Nw8hwbMl1lBCKBCAlgCISWDZthqlfw+9/5L/M3N2wPva+l0GL5npThidERkKzpuYE5uXhdevMhPDPNbB7D/Ytf9EAYO0G8w0mDRuYZwebNin2AyUi4ntKAEUkMGz5C76cBr//Yc7bbLjbtmFBfAydB9+AXWegvCemLLRra04ABw+S9/tqdqf8SOKRNGxp6fDHanMC893GTRqZyWCTxuag2SLiV5QAioh/+2srfDUdVq4y5+12uOB86N8XV8UKHJk508roQlPFihgXnM+KjDSq9u5N+N59J88OrlsPGRnwy6/mBFCpknl2sFkTaNwY4mKtjV9ElACKiH+KPnoUx1vj4bfjT6XabNCls3mPWtUq5jKN5m89m818H3FSovlASV6eebZ2zfGEcNMW893Gc+aZE0CtmicfKDmvjrXxi4QoJYAi4l8yjmL/ahrdf/wJu9swE4zOHeHKAeY7eMW/hYVBg/rmdOUA8/3F6zacTAi374C/t5vTd98T5nBwfoXy2J1uaN4M6tQ26xARr9L/MhHxD7m58MOPMP1bHFnmq8zczZpgH/Qvc7gSCUxRUdCqhTkBpKUdTwbNhNB24CAJ+w/A1OnmFBkBdetCw/rmgyV1zzMfShERj1ICKCLWMgxYtgI+mQT7D5iLkhJZUqcW7Ybcooc7gk18PHTuZE6GgXPXLtZO+YJmdgf2EwNSrzk+/AyYQ9Qk1zaTwQb1oUE9iImx9CuIBAMlgCJind174ONP4PfjT49WKA/XXEVex/bsnzXL2tjE+2w2qFKFbXXr0LhPH+wOB6Smmq+sW7/B/HnoEGzeYk4zjj/wk5QIDepjq5NM2Yyj5h8RIlIsSgBFxPeyc2D61/DdLPMtFGFhcHlv6NcXoiL1cEeostshMdGcLrnYTOwOHCiYEO7eDTt2wo6dhAGXAMa8Real4rp1zMvH59Uxh64RkbNSAigivmMY5tAgn3xmntkBc/DmGwfpAQ85nc1mDiFTqZI59A+Y9xBu2AgbNuHetBnjr604MjPN8SFPjBEJ5lth6tYxE8Pk2ubg1DabJV9DxB8pARQRnyiTmYXjtTfgjz/NBZUSYPAgaNNKv5il6OLjoX07aN8Ol9PJ99/OoE/TpoRt3WYOP7NpC+zda54p3L0bFiwyt7PbCatejVZhDuxhEVAnGWrVgugyln4dEasoARQR73K7sf/wIxfPSsGed/xyb7/LoN/l5ivERErBcNgxkmtD/XonF6ZnmMngli2w+S/Ytg3SM7Dt3EVNgG3bT5atWgVq14LataHm8fEMYzVQtQQ/JYAi4j3bd8C7H+DY8hcA7vr1sN82BGpUtzgwCWpxsQWHnjEMOHyYvM1b2PTjTzSIiMT+93Y4eAj27DWnE28tAcLKlKFLdBnsew+Yg1YnJkJSDYiLs+gLiXieEkAR8bzcXJj+DXw7E1wujDJl+KNxAxrffRd2jekmvmazQYUKGK1i2bg7lbp9+pjDC6VnwN9/w7a/YevfsHMn7N6D7dgxKh47BnPnF6wnLs48Q1i9GvbKlai8e4/5lpOqVc0HWEQCiBJAEfGszVtg/LuQutucb9uavEHXs+2XJTTWL0nxJ3Gx0KypOZ2Ql4dzx05+nzGDVgmVcaTuhp27YN8+SE/PH6PQAXQCmL8YwsOhSmXzQaaqVbFVrkSF/QfNBLNCed3jKn5JCaCIeIbTCVO/hm9mmJfcysXDzTdC+7Ya1kUCR1gYJNZgV80kWvTpg+PEQOQ5ObAr1RyCZvdu3Km7ObpxM7FZWdicTjNJ3LnLrAK4AODneeabUColQGXzaWZ7xQpU2XU8qaxWzRz2SMQCSgBFpPS2/W2e9du+w5w/vxPcdIPe2CDBIzLSfHK4TjIALqeTOTNn0ufSSwlPSzcHNd+9G3bvwZ2aSvbWbURnHTPfhXx83EIAB9ARYOESs964WKhc2UwSK1Y0zxhWqAAVK5g/4+N0eVm8QgmgiJScy2We8Zv6tfk5NhZuvckcpkMkFNjt5tm9ypWgRTPATA5TZs6kzyWXEH4kzbxPcP8B2Lcf9959pG/ZQnxOLrasLPMycXqGeevEmTgcUL6cmQxWqAAVjyeI5ctDuXJmglgu3jzTqEvNUgxKAEWkZHbuMs/6/bXVnG/XBobcbP5CEhFzmKMa1Qs89e5yOpk3cyZ9+vQhPDc3PzFk/wFzcPRDh8ynkw8dhsOHzT+sDhw0p8Laio83k8H4uFM+nzrFmn+klSmjZFGUAIpIMRkGzE6BSVPMe/uio+HmweZlX/1SESm6smXNqXatM693ucw3nxw6fDwpPJEgHjZ/pqVDehocyzafvN+/35wK43CYt2fElDUTwtgYcz7/Z+zJn7ExZozhSheCjf5FRaTIIrKzcbz+Jvy+2lzQohncNsS8JCUinuVwnLz0W/e8s5fLzjETxbR0SDsCR058Tjv++fiUnmE+zHIisUxLK3Io4cBlDgeO2T9D2WjzD7/oMsd/Hp/KRptnF8uesiy6DERGQZko8zJ1mNIOfxHy/xJvv/02//3vf9m9ezdNmjRhzJgxXHDBBVaHJeJ3bL+vptusn7Dn5JjDXgy8DnpeorN+IlaLioSoyuZQNIXJzYWjRyHj6PGfGebnU+dPrM84CkczzDOMQJjLBUeOmFNJORwnk8HISDNhjIw058tEYQ8Pp3FqKvZcl5lARh1/+Ca5dsnblDMK6QRwypQp3Hfffbz99tucf/75vPPOO/Tu3Zu1a9dSs2ZNq8MT8Q+5uTD5C8Jm/UAYYNSoju2eu6BmktWRiUhxRUScPKtYVC4XzvR05s78nq4dOhCekwtZmZB1DLKyTk6ZWXDsmPkzf/kx86zjiaGgXC44mmlOZ+AA6gFs2HRy4ZX9lQB6QUgngK+99hq33nor//73vwEYM2YMs2fPZty4cbzwwgsWRyfiB3buhLfG5w/v8lfdOiQ9+hDhZctaHJiI+MzxewazYsqar8Y7MTZiceTlmZeqc7LNn8eOJ4bZ2eYZxuOfXZmZbF23nuTq1XHk5Jrla9Tw/HeS0E0Ac3NzWb58OY899liB5T179mTx4sVn3CYnJ4ecnJz8+fT0dACcTifOUg50e2L70tZTmrqKu11RyxelXGFlzrXek/vOV3wVc4nbMQzsP8/F/tnn2JxOjNhYcm4ZzOq9e6hqsxV7YGer+pb6lf+3VZp6/PWYFWz9CjwUd2SEOZ1joACn08mayHCq9+hB+KmJpof7R6Dtf2+wGYZhWB2EFVJTU6lRowaLFi2ic+fO+cuff/55PvroIzZs2HDaNs8++ywjR448bfmkSZOIjo72arwivhKW66TVb8upvjMVgL1Vq7CyfRtyykRZHJmIiGdkZWUxcOBA0tLSiIsLzaGrQvYM4Am2f9zAbhjGactOePzxx3nggQfy59PT00lKSqJnz56l7kBOp5OUlBR6/POvHh/WVdztilq+KOUKK3Ou9Z7cd77iq5iL3c7WbYSNfQfb/v0YDgfua6+iQs9L6G63lypmq/qW+pX/txWI/aqwMsHWr8CPj1klrOvEFbxQFrIJYEJCAg6Hgz179hRYvm/fPqpUqXLGbSIjI4mMPP29jeHh4R77D+EPdRV3u6KWL0q5wsqca70n952v+CrmQtsxDEj5CT75zLxXJyEB2/C7cNQ9D0dx6ypNHCUsX5p+U9h69SvftBWI/aqwMsHWr8CPjlmlrCsQ972neS0BTEtLY9q0aSxYsIBt27aRlZVFpUqVaNWqFb169Spw2dUKERERtGnThpSUFK644or85SkpKfTv39/CyER8LCsLJnwAv/5mzrdpDXf82xwkVkREgpLH3zC9e/dubrvtNqpVq8aoUaPIzMykZcuWdO/encTERObMmUOPHj1o3LgxU6ZM8XTzxfLAAw/w3nvv8cEHH7Bu3Truv/9+tm/fztChQy2NS8Rntm6DJ542kz+HAwYPhAeGK/kTEQlyHj8D2KJFC2688UZ+/fVXmjZtesYyx44dY/r06bz22mvs2LGDhx56yNNhFMl1113HwYMHGTVqFLt376Zp06bMnDmTWrXO8loekWBhGPDjz/B/k/Iv+TL8rnO/bUBERIKGxxPANWvWUKlSpXOWKVOmDNdffz3XX389+4vy3kIvuuuuu7jrrrssjUHEp7Jz4L0PYPEv5rwu+YqIhByPJ4CFJX+lLS8ipbB7D4z5H+zYaV7yvf5a6N1Lr3MTEQkxXn0K+JtvvjnjcpvNRlRUFHXr1iU5OdmbIYjICctXwNsTzBH4y8XD8LuhYX2roxIREQt4NQEcMGAANpuNf441fWKZzWajS5cuTJ8+nfLly3szFJHQ5TawfzkNvv3OnG9QH4YPg/LlLA1LRESs4/GngE+VkpJCu3btSElJIS0tjbS0NFJSUmjfvj0zZsxg/vz5HDx40LKHQESC3tGjdFqwCMeJ5K9XD3jyUSV/IiIhzqtnAO+9914mTJhQYMy/7t27ExUVxe23386aNWsYM2YMQ4YM8WYYIqHpr62EjfkflQ8cxIiIwHbbEDi/k9VRiYiIH/BqArhly5YzviItLi6Ov/76C4B69epx4MABb4YhEnrmzoeJH2NzOjkaU5bIRx8i/Lw6VkclIiJ+wquXgNu0acPDDz9cYKiX/fv388gjj9CuXTsANm3aRGJiojfDEAkdeXkw8WOY8D44nbhbtmBej25QM8nqyERExI949Qzg+++/T//+/UlMTCQpKQmbzcb27dupU6cOX3/9NQBHjx5lxIgR3gxDJDSkZ8Cbb8Ha9eb81VfiuuxS8mbNsjYuERHxO15NABs0aMC6deuYPXs2GzduxDAMGjZsSI8ePbDbzZOPAwYM8GYIIqFh+w54dQzsPwBRUTDsDnOAZ6fT6shERMQPeTUBBHPIl0svvZSuXbsSGRmJTQPOinjWr8tg3ATIyYEqleHBe0G3VYiIyDl49R5At9vNf/7zH2rUqEFMTAxbt24FYMSIEbz//vvebFok+Lnd8OU0880eOTnQtAn85xklfyIiUiivJoCjR4/mww8/5OWXXyYiIiJ/ebNmzXjvvfe82bRIcMvOhjfGwtTp5nzvnvDogxATY2lYIiISGLyaAH788cdMmDCBQYMG4XA48pc3b96c9evXe7NpkeC1bz888x/4bRmEhcHtt8LgQea7fUVERIrAq/cA7tq1i7p165623O1249TN6SLFt249vP4/OHoU4uPh/uFQ//T/YyIiIufi1QSwSZMmLFiwgFq1ahVY/sUXX9CqVStvNi0SfObOh/c/BJcL6iSbyV/FClZHJSIiAcirCeAzzzzD4MGD2bVrF263m6lTp7JhwwY+/vhjZsyY4c2mRYKH2w1TvoBvZ5rzHdvD0NvglPtqRUREisOr9wD27duXKVOmMHPmTGw2G08//TTr1q3j22+/pUePHt5sWiQ4ZOfAG2+dTP6u6A9336nkT0RESsXr4wD26tWLXr16ebsZkeBz+DC8Mga2bjv+sMcQ6HK+1VGJiEgQ8HoCKCIlsO1veOV1OHQYYmPN+/0a1rc6KhERCRIeTwDLly9f5Ld9HDp0yNPNiwS+5SvgrXGQkws1qsND95tv+BAREfEQjyeAY8aMyf988OBBRo8eTa9evejUqRMAS5YsYfbs2YwYMcLTTYsENsOA776Hzz43PzdrAsOHQdmyVkcmIiJBxuMJ4E033ZT/+aqrrmLUqFHcfffd+cuGDx/OW2+9xY8//sj999/v6eZFAlNeHkz8GObMM+e7d4ObbjDv/RMREfEwrz4FPHv2bC699NLTlvfq1Ysff/zRm02LBI7sbHj1DTP5s9nMt3oMuUnJn4iIeI1XE8CKFSsybdq005ZPnz6dihUrerNpkcCQngGjX4Tf/zCHdnngXvO9vkW8j1ZERKQkvHqKYeTIkdx6663MnTs3/x7AX375hVmzZvHee+95s2mfcjqdpX613YntPfGKvJLWVdztilq+KOUKK3Ou9Z7cd77idDqJPpqJ4z/Pw779GDExuO6/B6PueeDB7+EP/aok23qqb4Vivzr1ZyC0FYj9qrAywdavwHdx++qYFWj73xtshmEY3mxg6dKlvPnmm6xbtw7DMGjcuDHDhw+nQ4cO3mzWq8aOHcvYsWNxuVxs3LiRSZMmER0dbXVYEkDiDx2m44LFRGXnkBUdzZKLzudoXKzVYYmIhISsrCwGDhxIWloacXFxVodjCa8ngMEsPT2d+Ph4Dhw4UOoO5HQ6SUlJoUePHoSHh1tSV3G3K2r5opQrrMy51nty3/mCbc1aHG+MxZaTgzspEdeD90H5cl5pyx/6VUm29VTfCqV+Bb6N2VNtBWK/KqxMsPUr8F3cvjpmpaenk5CQENIJoMcvAWdmZlK2GMNWFLe8PwoPD/fYfwh/qKu42xW1fFHKFVbmXOs9ue+8ZtESGP8uuFzsr1yJck88Qnh8vNeb9Yd+VZJtPdW3gr5f/YMvY/ZUW4HYrworE2z9CnwXt7ePWYG47z3N4w+B1K1bl+eff57U1NSzljEMg5SUFHr37s2bb77p6RBE/NN3s2DseHC5cHdoxy8XdgbdOiAiIhbw+BnAuXPn8tRTTzFy5EhatmxJ27ZtqV69OlFRURw+fJi1a9eyZMkSwsPDefzxx7n99ts9HYKIf3G74bMpZgIIcGlPXNddjXvWLGvjEhGRkOXxBLBBgwZ88cUX7Ny5ky+++IL58+ezePFijh07RkJCAq1ateLdd9+lT58+2O1eHYVGxHp5eTD+PVi8xJy//jq4vLe5XERExCJeGwYmMTGR+++/X2/7kNCVdQzG/A/+XAMOB9x+K1xwvtVRiYiIeHccQJGQdeQIvPwabPsbIiPhvnugRTOroxIREQGUAIp43u498OIrsH8/xMXCIw9CnWSroxIREcmnBFDEk7b8ZZ75y8iAKpXh0YegahWroxIRESlACaCIp/z+h3nPX04uJNeGRx4AH4zxJyIiUlxKAEU8Yf5CePcDcLmgWVO4724oU8bqqERERM7I6+OwLFiwgBtuuIFOnTqxa9cuAP7v//6PhQsXertpEe8zDPjmu/y3e3B+J3j4fiV/IiLi17yaAH711Vf06tWLMmXKsHLlSnJycgDIyMjg+eef92bTIt7ndsPHn8Lkz835y/vAnbdDmE6si4iIf/NqAjh69GjGjx/Pu+++W+C9e507d2bFihXebFrEu3Jz4X9vw+wUc37wQBh4HWhwcxERCQBePVWxYcMGLrzwwtOWx8XFceTIEW82LeI9WVnw2huwdr05wPOdt0PnjlZHJSIiUmRePV1RrVo1Nm/efNryhQsXUqdOHW82LeIdhw/DqOfN5K9MFDz2kJI/EREJOF5NAO+44w7uvfdeli5dis1mIzU1lU8//ZSHHnqIu+66y5tNi3jerlR45j+wfQeUi4cRT0CTxlZHJSIiUmxevQT8yCOPkJaWRrdu3cjOzubCCy8kMjKShx56iLvvvtubTYt41sbN8MprcDTTHNj5sYehciWroxIRESkRrz+u+Nxzz/Hkk0+ydu1a3G43jRs3JiYmxtvNinjOilXw5ljzwY+658FD95uveBMREQlQPhmvIjo6mrZt25Kens6PP/5IgwYNaNSokS+aFimdOXPhvQ/N8f5atoDhwyAq0uqoRERESsWr9wBee+21vPXWWwAcO3aMdu3ace2119K8eXO++uorbzYtUjqGAVO/hncnmp8vugAeGK7kT0REgoJXE8D58+dzwQUXADBt2jTcbjdHjhzhzTffZPTo0d5sWqTk3G744CP4cqo5P6Av3H6rBngWEZGg4dUEMC0tjQoVKgAwa9YsrrrqKqKjo7nsssvYtGmTN5sWKZncXBjzP/hpDthscMuNcO3V5mcREZEg4dVTGklJSSxZsoQKFSowa9YsJk+eDMDhw4eJioryZtMixXf0KLwyBjZugvBwGHYHtG9ndVQiIiIe59UE8L777mPQoEHExMRQq1YtunbtCpiXhps1a+bNpkWK5+BBePEVc6y/6Gh48F5o1NDqqERERLzCqwngXXfdRYcOHdi+fTs9evTAfvw9qXXq1NE9gOI/du40k79Dh6FCeXj0IUhKtDoqERERr/H6Xe1t2rShTZs2BZZddtll3m5WpGjWbzAv+2ZlQY3q5qvdKla0OioRERGv8noCuHPnTr755hu2b99Obm5ugXWvvfaat5sXObtfl8HY8eB0Qv168NB9oEHKRUQkBHg1Afzpp5/o168fycnJbNiwgaZNm7Jt2zYMw6B169bebFrk3FJ+gg//zxzjr01ruOdOiIiwOioRERGf8GoC+Pjjj/Pggw8yatQoYmNj+eqrr6hcuTKDBg3i0ksv9WbTPuV0OnE6naWu49SfVtRV3O2KWr4o5Qorc671xYrbMLBP/RrHNzMAcHW7CPfggeYwLx7Y90XlyX9vX7VTmrqs6ls+61d+wpcxe6qtQOxXhZUJtn4FwXfMCrT97w02wzAMb1UeGxvLqlWrOO+88yhfvjwLFy6kSZMm/P777/Tv359t27Z5q2mvGjt2LGPHjsXlcrFx40YmTZpEdHS01WFJIWxuNy2WraTW1r8BWNe0ERsbN9QYfyIiISYrK4uBAweSlpZGXFyc1eFYwqtnAMuWLUtOTg4A1atXZ8uWLTRp0gSAAwcOeLNprxo2bBjDhg0jPT2d+Ph4evbsWeoO5HQ6SUlJoUePHoSHh1tSV3G3K2r5opQrrMy51hcpjuxsHG+/g33r3xg2G66bB1O364XULfRbeocn/7191U5p6rKqb3m9X/kZX8bsqbYCsV8VVibY+hUE3zErPT29VHUHA68mgB07dmTRokU0btyYyy67jAcffJDVq1czdepUOnbs6M2mfSo8PNxj/yH8oa7iblfU8kUpV1iZc60/67q0dPjva/DXVoiIwHbPXYS1aVVovL7gyX9vX7VTmrqs6lte6Vd+zJcxe6qtQOxXhZUJtn4FwXPMCsR972leTQBfe+01jh49CsCzzz7L0aNHmTJlCnXr1uX111/3ZtMipj174aVXYO8+iI2Fh++HuudZHZWIiIilvJoA1qlTJ/9zdHQ0b7/9tjebEylo8xb47+uQkQGVK5kDPFeranVUIiIilvP6OIAAubm57Nu3D7fbXWB5zZo1fdG8hKIVq+B/YyEnF5JrwyMPQHy81VGJiIj4Ba8mgBs3buTWW29l8eLFBZYbhoHNZsPlcnmzeQlVP8+F9z80x/hr0RzuHQZRUVZHJSIi4je8mgDecssthIWFMWPGDKpVq4ZNw22INxkGfDEVpn1tzl90Adx6M4T55ES3iIhIwPDqb8ZVq1axfPlyGjZs6M1mRLC53Tje/xAWLDIXXNEfrr5CY/yJiIicgVcTwMaNGwf0eH8SILKy6Dh/Mfa9+8yEb8hN0L2b1VGJiIj4LbunK0xPT8+fXnrpJR555BHmzp3LwYMHC6zTIIziEfv3Ezb6RSrv3YcREQEP3KvkT0REpBAePwNYrly5Avf6GYZB9+7dC5TRQyDiEZu3wCtjsKWnc6xMFGGPPUx4Pave7SEiIhI4PJ4Azpkzx9NVipzu199g7DvgdGLUTGJ+iyZcXLuW1VGJiIgEBI8ngBdddJGnqxQ5yTDg2+/gs8/N+VYtyLvjNrLn/GxtXCIiIgHE4/cAAmRlZTFs2DBq1KhB5cqVGThwoB4GkVKzud04Jn58Mvnr1cO856+MxvgTEREpDq88BfzMM8/w4YcfMmjQIKKiovjss8+48847+eKLL7zRnISCo0fpNG8R9n37zSd9Bw+ES3ua6/7xhhkRERE5N68kgFOnTuX999/nX//6FwA33HAD559/Pi6XC4fD4Y0mJZjt2EnYK2OotH8/RmQktnvugtYtrY5KREQkYHklAdyxYwcXXHBB/nz79u0JCwsjNTWVpKQkbzQpweq35TBuArbsbDLLRhPx+COE10m2OioREZGA5pUE0OVyERERUbChsDDy8vK80ZwEI7cbpn8DX04zZxs3ZF798+iRlGhxYCIiIoHPKwmgYRjcfPPNREZG5i/Lzs5m6NChlC1bNn/Z1KlTvdG8BLrsbBj/Lvy6zJzv1QPXtVfh/OEHa+MSEREJEl5JAG+66abTlt1www3eaEqCzd598NY42L4DHA7ztW7dLgKn0+rIREREgoZXEsCJEyd6o1oJclV3pRL27X8g6xjEx8P990D9elaHJSIiEnS8kgCKFIvLhf3zL+mw8Bdzvn5duGcYVKxgbVwiIiJBSgmgWOvIEXhrHI616wFw9bwExw3XQ5i6poiIiLfot6xYZ/1GeHMsHDmCERXJslYtaDnoXziU/ImIiHiVftOK77ndMP1bmDrd/FyjOnl330nqqpW0tDo2ERGREKAEUHzr4EF4ewKsMy/5cn4nuPVm84nfVSstDU1ERCRU2K0OwJtycnJo2bIlNpuNVatWFVhns9lOm8aPH29NoCHCtmwFPDbCTP6iomDobXDXHeZnERER8ZmgPgP4yCOPUL16dX7//fczrp84cSKXXnpp/nx8fLyvQgstOTk0X7aSsC1bzfk6yXD3nVC1irVxiYiIhKigTQC///57fvjhB7766iu+//77M5YpV64cVatW9XFkIWbDRsLGv0vy3n3mfN8+cM1VespXRETEQkF5CXjv3r3cdttt/N///R/R0dFnLXf33XeTkJBAu3btGD9+PG6324dRBrncXPj0Mxj1PLa9+zhWJoq8Rx6A669T8iciImKxoPtNfOI9xEOHDqVt27Zs27btjOX+85//0L17d8qUKcNPP/3Egw8+yIEDB3jqqafOWndOTg45OTn58+np6QA4nU6cpXxV2YntS1tPaeoq7nZnK2/b8heOdz/AtnsPAHmdO/FzlYp0q18P4yx1F9b2udZ7ct/5iq9i9od+VZJti1q+NP2msPXqV75pKxD7VWFlgq1fQfAdswJt/3uDzTAMw+ogiuLZZ59l5MiR5yzz22+/sXjxYqZMmcL8+fNxOBxs27aN5ORkVq5cScuWLc+67auvvsqoUaNIS0srdgyTJk0655nGUOFw5tFwzTrO27gJmwHZUVGsateKvdWrWR2aiIhIvqysLAYOHEhaWhpxcXFWh2OJgEkADxw4wIEDB85Zpnbt2vzrX//i22+/xWaz5S93uVw4HA4GDRrERx99dMZtFy1aRJcuXdizZw9Vqpz54YQznQFMSkriwIEDpe5ATqeTlJQUevToQXh4uCV1FXe7U8tHrP4Tx/99hu3QIQDcnTrguuF6iIkpUr2FlTnXek/uO1/xVcz+0K9Ksm1Ry5em3xS2Xv3KN20FYr8qrEyw9SsIvmNWeno6CQkJIZ0ABswl4ISEBBISEgot9+abbzJ69Oj8+dTUVHr16sWUKVPo0KHDWbdbuXIlUVFRlCtX7qxlIiMjiYyMPG15eHi4x/5D+ENdxdmuTGYWUW+/g33FKnNBpQS45UbsLVucdoNpUeotrMy51nty3/mKr2L2h35Vkm2LWr40/aaw9epXvmkrEPtVYWWCrV9B8ByzAnHfe1rAJIBFVbNmzQLzMTExAJx33nkkJiYC8O2337Jnzx46depEmTJlmDNnDk8++SS33377GRM8OYPcXOwzZnLxrBTseS5zIOfLesMV/UD7UERExK8FXQJYFOHh4bz99ts88MADuN1u6tSpw6hRoxg2bJjVofk/w4AlS2Hy5zgOHATAXb8e9n/fDMcTbBEREfFvQZ8A1q5dm3/e5njppZcWGABaimjzFvhkEmzcDIBRoTwr6p1H86G3Y9dZPxERkYAR9AmgeMC2v+HLqXDiPr/ICOh7OXk9u7Pzp59obg/K4SRFRESClhJAObudu+DLafDrb+a8zQYXnA/XXgUVKoDGURIREQlISgDlNLYtf8GsH+C35eY9fzYbdGwPV10BGtNPREQk4CkBFJPbjW3V75z/83zCpkw9ubxdW7j6CkjSAx4iIiLBQglgqEvPgAUL4ee5hO3eQwJgOBzYzu9kDuuixE9ERCToKAEMRW43rN8AP88z7+/LywPAKFOGzbUSqX3H7YRXqWxxkCIiIuItSgBDhWHA1m2w+Bf4ZSkcOnxyXXJt6N6NvHZtWPvzz9SuUN6qKEVERMQHlAAGM6fTPNO36ndzCJe9+06ui46GDu2gezeok3yyvIiIiAQ9JYDBxOWCv7djX7OW9guXEDb9O8jJObk+IgJat4LOHaFFM9C7EEVEREKSEsBA5XTCrlTYvgN27IBt2803deTk4ADyB2spFw8tW5hT86YQFWVh0CIiIuIPlAD6oyNHYN8ByMyEzKNwNBMyjsLBg7D/gDkdOmQ+zPFP0dG469VlveGi3lVXEn5eHdCbOkREROQUSgD90awU+GZG4eWio6Fm0smpXl2oUR2Xy8WmmTOpV7uWkj8RERE5jRJAf1S+HFSqBGWjISYGYspC2bJQsSJUSoCE4z/Llzff0vFPLpfPQxYREZHAoQTQH/XqYU4iIiIiXqDrgyIiIiIhRgmgiIiISIhRAigiIiISYpQAioiIiIQYJYAiIiIiIUYJoIiIiEiIUQIoIiIiEmKUAIqIiIiEGCWAIiIiIiFGCaCIiIhIiNGr4ErBMAwADh06hNPpLFVdTqeTrKwsDh48SHh4uCV1FXe7opYvSrnCypxrvSf3na/4KmZ/6Fcl2dZTfUv9yv/bCsR+VViZYOtXEHzHrIyMDODk7/FQpASwBMaOHcvYsWPJzc0FIDk52eKIREREpLgyMjKIj4+3OgxL2IxQTn9Lye12k5qaSmxsLDabrdT1tWvXjt9++80DkZW8ruJuV9TyRSlXWJmzrU9PTycpKYkdO3YQFxdXeNB+wpP/3r5qpzR1WdW31K/8v61A7FeFlQm2fgXBdcwyDIOMjAyqV6+O3R6ad8PpDGAp2O12EhMTPVafw+Hw2AGhpHUVd7uili9KucLKFLY+Li4uoA6onvz39lU7panLqr6lfuX/bQVivyqsTLD1Kwi+Y1aonvk7ITTTXj81bNgwy+sq7nZFLV+UcoWV8eT+8Qe++j7+0K9Ksq2n+pb6lf+3FYj9qrAywdavIPSOWcFOl4Al4KWnpxMfH09aWlrA/UUt/kv9SrxB/Ur8hc4ASsCLjIzkmWeeITIy0upQJIioX4k3qF+Jv9AZQBEREZEQozOAIiIiIiFGCaCIiIhIiFECKCIiIhJilACKiIiIhBglgCIiIiIhRgmghJQrrriC8uXLc/XVV1sdigSwGTNm0KBBA+rVq8d7771ndTgSRHSMEl/RMDASUubMmcPRo0f56KOP+PLLL60ORwJQXl4ejRs3Zs6cOcTFxdG6dWuWLl1KhQoVrA5NgoCOUeIrOgMoIaVbt27ExsZaHYYEsF9//ZUmTZpQo0YNYmNj6dOnD7Nnz7Y6LAkSOkaJrygBFL8xf/58+vbtS/Xq1bHZbEyfPv20Mm+//TbJyclERUXRpk0bFixY4PtAJaCVtp+lpqZSo0aN/PnExER27drli9DFz+kYJoFECaD4jczMTFq0aMFbb711xvVTpkzhvvvu48knn2TlypVccMEF9O7dm+3bt+eXadOmDU2bNj1tSk1N9dXXED9X2n52prtmbDabV2OWwOCJY5iIzxgifggwpk2bVmBZ+/btjaFDhxZY1rBhQ+Oxxx4rVt1z5swxrrrqqtKGKEGgJP1s0aJFxoABA/LXDR8+3Pj000+9HqsEltIcw3SMEl/QGUAJCLm5uSxfvpyePXsWWN6zZ08WL15sUVQSbIrSz9q3b8+ff/7Jrl27yMjIYObMmfTq1cuKcCWA6Bgm/ibM6gBEiuLAgQO4XC6qVKlSYHmVKlXYs2dPkevp1asXK1asIDMzk8TERKZNm0a7du08Ha4EqKL0s7CwMF599VW6deuG2+3mkUceoWLFilaEKwGkqMcwHaPEV5QASkD5571WhmEU6/4rPa0pRVFYP+vXrx/9+vXzdVgSBArrWzpGia/oErAEhISEBBwOx2ln+/bt23faX9QiJaV+Jt6iviX+RgmgBISIiAjatGlDSkpKgeUpKSl07tzZoqgk2Kifibeob4m/0SVg8RtHjx5l8+bN+fNbt25l1apVVKhQgZo1a/LAAw8wePBg2rZtS6dOnZgwYQLbt29n6NChFkYtgUb9TLxFfUsCisVPIYvkmzNnjgGcNt100035ZcaOHWvUqlXLiIiIMFq3bm3MmzfPuoAlIKmfibeob0kg0buARUREREKM7gEUERERCTFKAEVERERCjBJAERERkRCjBFBEREQkxCgBFBEREQkxSgBFREREQowSQBEREZEQowRQREREJMQoARQRKYXc3Fzq1q3LokWLvFJ/165due+++7xSd2FycnKoWbMmy5cvt6R9EfEeJYAiku/mm2/GZrOdNp36flMpaMKECdSqVYvzzz/fp+127dqV8ePHe7WNyMhIHnroIR599FGvtiMivqcEUEQKuPTSS9m9e3eBKTk5+bRyubm5FkTnf/73v//x73//+5xlnE6nR9s8dOgQixcvpm/fvh6t90wGDRrEggULWLdundfbEhHfUQIoIgVERkZStWrVApPD4aBr167cfffdPPDAAyQkJNCjRw8A1q5dS58+fYiJiaFKlSoMHjyYAwcO5NeXmZnJjTfeSExMDNWqVePVV1897bKmzWZj+vTpBeIoV64cH374Yf78rl27uO666yhfvjwVK1akf//+bNu2LX/9zTffzIABA3jllVeoVq0aFStWZNiwYQWSr5ycHB555BGSkpKIjIykXr16vP/++xiGQd26dXnllVcKxPDnn39it9vZsmXLGffVihUr2Lx5M5dddln+sm3btmGz2fj888/p2rUrUVFRfPLJJxw8eJDrr7+exMREoqOjadasGZ999lmB+s60r87ku+++o0WLFtSoUYPDhw8zaNAgKlWqRJkyZahXrx4TJ04s8n4D+OCDD2jSpAmRkZFUq1aNu+++O39dxYoV6dy582mxikhgUwIoIkX20UcfERYWxqJFi3jnnXfYvXs3F110ES1btmTZsmXMmjWLvXv3cu211+Zv8/DDDzNnzhymTZvGDz/8wNy5c4t9T1lWVhbdunUjJiaG+fPns3DhQmJiYrj00ksLnImcM2cOW7ZsYc6cOXz00Ud8+OGHBZLIG2+8kcmTJ/Pmm2+ybt06xo8fT0xMDDabjSFDhhRInMBMjC644ALOO++8M8Y1f/586tevT1xc3GnrHn30UYYPH866devo1asX2dnZtGnThhkzZvDnn39y++23M3jwYJYuXVrsffXNN9/Qv39/AEaMGMHatWv5/vvvWbduHePGjSMhIaHI+23cuHEMGzaM22+/ndWrV/PNN99Qt27dAu21b9+eBQsWnOufSEQCjSEictxNN91kOBwOo2zZsvnT1VdfbRiGYVx00UVGy5YtC5QfMWKE0bNnzwLLduzYYQDGhg0bjIyMDCMiIsKYPHly/vqDBw8aZcqUMe699978ZYAxbdq0AvXEx8cbEydONAzDMN5//32jQYMGhtvtzl+fk5NjlClTxpg9e3Z+7LVq1TLy8vLyy1xzzTXGddddZxiGYWzYsMEAjJSUlDN+99TUVMPhcBhLly41DMMwcnNzjUqVKhkffvjhWffXvffea1x88cUFlm3dutUAjDFjxpx1uxP69OljPPjgg4ZhGEXeV9nZ2UZsbKzxxx9/GIZhGH379jVuueWWM9ZflP1WvXp148knnzxnnG+88YZRu3btQr+PiASOMGvTTxHxN926dWPcuHH582XLls3/3LZt2wJlly9fzpw5c4iJiTmtni1btnDs2DFyc3Pp1KlT/vIKFSrQoEGDYsW0fPlyNm/eTGxsbIHl2dnZBS7PNmnSBIfDkT9frVo1Vq9eDcCqVatwOBxcdNFFZ2yjWrVqXHbZZXzwwQe0b9+eGTNmkJ2dzTXXXHPWuI4dO0ZUVNQZ1/1zX7lcLl588UWmTJnCrl27yMnJIScnJ3//btmypUj76ueff6ZixYo0a9YMgDvvvJOrrrqKFStW0LNnTwYMGEDnzp2LtN/27dtHamoq3bt3P+t3BChTpgxZWVnnLCMigUUJoIgUULZs2dMuAZ667lRut5u+ffvy0ksvnVa2WrVqbNq0qUht2mw2DMMosOzUe/fcbjdt2rTh008/PW3bSpUq5X8ODw8/rV632w2YSUxh/v3vfzN48GBef/11Jk6cyHXXXUd0dPRZyyckJOQnmP/0z3316quv8vrrrzNmzBiaNWtG2bJlue+++/Ivxf7z+5/NqZd/AXr37s3ff//Nd999x48//kj37t0ZNmwYr7zySqH7zW4v2l1Ahw4dKrCfRSTw6R5AESmx1q1bs2bNGmrXrk3dunULTCcSyfDwcH755Zf8bQ4fPszGjRsL1FOpUiV2796dP79p06YCZ5xat27Npk2bqFy58mntxMfHFynWZs2a4Xa7mTdv3lnL9OnTh7JlyzJu3Di+//57hgwZcs46W7Vqxfr164uUvC1YsID+/ftzww030KJFC+rUqVMgQS7KvjIMg2+//ZZ+/foVqLtSpUrcfPPNfPLJJ4wZM4YJEyYAhe+32NhYateuzU8//XTO2P/8809atWpV6HcUkcChBFBESmzYsGEcOnSI66+/nl9//ZW//vqLH374gSFDhuByuYiJieHWW2/l4Ycf5qeffuLPP//k5ptvPu3M08UXX8xbb73FihUrWLZsGUOHDi1wNm/QoEEkJCTQv39/FixYwNatW5k3bx733nsvO3fuLFKstWvX5qabbmLIkCFMnz6drVu3MnfuXD7//PP8Mg6Hg5tvvpnHH3+cunXrFrgceybdunUjMzOTNWvWFNp+3bp1SUlJYfHixaxbt4477riDPXv25K8vyr5avnw5mZmZXHjhhfnLnn76ab7++ms2b97MmjVrmDFjBo0aNSryfnv22Wd59dVXefPNN9m0aRMrVqzgf//7X4HYFyxYQM+ePQv9jiISOJQAikiJVa9enUWLFuFyuejVqxdNmzbl3nvvJT4+Pj9x+e9//8uFF15Iv379uOSSS+jSpQtt2rQpUM+rr75KUlISF154IQMHDuShhx4qcOk1Ojqa+fPnU7NmTa688koaNWrEkCFDOHbs2BmfwD2bcePGcfXVV3PXXXfRsGFDbrvtNjIzMwuUufXWW8nNzS307B+YQ6RceeWVZ7zE+k8jRoygdevW9OrVi65du1K1alUGDBhQoExh++rrr7/msssuIyzs5N07ERERPP744zRv3pwLL7wQh8PB5MmTgaLtt5tuuokxY8bw9ttv06RJEy6//PICZyaXLFlCWloaV199daHfUUQCh80o6o0nIiIe0rVrV1q2bMmYMWOsDuU0ixYtomvXruzcuZMqVaoUWn716tVccsklZ3zYwtOaN2/OU089VWCYHW+75ppraNWqFU888YTP2hQR79MZQBERzEGiN2/ezIgRI7j22muLlPyBeW/hyy+/fNrgyp6Wm5vLVVddRe/evb3azqlycnJo0aIF999/v8/aFBHf0BlAEfE5fzwD+OGHH3LrrbfSsmVLvvnmG2rUqGF1SCIiXqMEUERERCTE6BKwiIiISIhRAigiIiISYpQAioiIiIQYJYAiIiIiIeb/ARo+VUkbkXFAAAAAAElFTkSuQmCC", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "G_ll_M, G_ll_φ, G_ll_ω = ct.bode_plot(G_ll,\n", " omega=np.logspace(-1.5, 1.5, 5001),\n", " color=cp['red'],\n", " dB=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 2.2. Função de transferência entre referência (r) e saída (c)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s^3 + 59.22 s^2 + 29.44 s + 2.384}{s^6 + 4.575 s^5 + 16.74 s^4 + 35.11 s^3 + 34.21 s^2 + 29.19 s + 2.384}$$" ], "text/plain": [ "TransferFunction(array([32.16245505, 59.22178147, 29.44363451, 2.38430809]), array([ 1. , 4.57474945, 16.73989586, 35.10639099, 34.21356013,\n", " 29.1932746 , 2.38430809]))" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rc_tf_ll = ct.feedback(G_ll * L_0)\n", "rc_tf_ll" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Frequencias naturais, fatores de amortecimento e zeros em malha fechada:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([2.96571279, 2.96571279, 2.20308654, 1.16668356, 1.16668356,\n", " 0.09039959])" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ω_n_cl, ζ_cl, zeros_cl = rc_tf_ll.damp()\n", "ω_n_cl" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.25737051, 0.25737051, 1. , 0.32343358, 0.32343358,\n", " 1. ])" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ζ_cl" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0.76328702+2.86580621j, -0.76328702-2.86580621j,\n", " -2.20308654+0.j , -0.37734465+1.10397534j,\n", " -0.37734465-1.10397534j, -0.09039959+0.j ])" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zeros_cl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Diagrama de Bode da função de transferência do sistema em malha fechada:" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "rc_tf_M, rc_tf_φ, rc_tf_ω = ct.bode_plot(rc_tf_ll,\n", " omega=np.linspace(0.01, 50, 1001),\n", " color=cp['red'],\n", " dB=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 2.3. Função de transferência entre referência (r) e entrada de controle (u)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\\frac{32.16 s^6 + 123.5 s^5 + 469.5 s^4 - 182.7 s^3 - 404.3 s^2 - 38.15 s}{s^6 + 4.575 s^5 + 16.74 s^4 + 35.11 s^3 + 34.21 s^2 + 29.19 s + 2.384}$$" ], "text/plain": [ "TransferFunction(array([ 32.16245505, 123.54669156, 469.51174793, -182.73443949,\n", " -404.33752558, -38.14892946, 0. ]), array([ 1. , 4.57474945, 16.73989586, 35.10639099, 34.21356013,\n", " 29.1932746 , 2.38430809]))" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ru_tf_ll = ct.feedback(G_ll, L_0)\n", "ru_tf_ll" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "742e9a30fae5428491472903c26571e5", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "ru_tf_M, ru_tf_φ, ru_tf_ω = ct.bode_plot(ru_tf_ll,\n", " omega=np.linspace(0.01, 50, 1001),\n", " color=cp['red'],\n", " dB=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 2.4. Resposta a degrau" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f475bc218406435ab22dda183c154cb1", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# simulação do sistema em MF\n", "ts = np.linspace(0, 25, 1000)\n", "\n", "t, y_l = ct.step_response(rc_tf_lead, ts)\n", "t, u_l = ct.step_response(ru_tf_lead, ts)\n", "\n", "t, y_ll = ct.step_response(rc_tf_ll, ts)\n", "t, u_ll = ct.step_response(ru_tf_ll, ts)\n", "\n", "fig, (state, control_input) = plt.subplots(\n", " 2, 1, figsize=(5, 7), sharex=True)\n", "\n", "state.plot(t, np.ones(len(t)), color=cp['yellow'], label='r', linewidth=2)\n", "state.plot(t, y_l,\n", " color=cp['red'], label=r'avanço', linewidth=2)\n", "state.plot(t, y_ll,\n", " color=cp['blue'], label=r'avanço-atraso', linewidth=2)\n", "state.set_ylabel(r'$c$')\n", "state.set_xlabel(r'$t$ (s)')\n", "state.legend()\n", "state.grid()\n", "\n", "control_input.plot(t, u_l,\n", " color=cp['red'], label=r'avanço', linewidth=2)\n", "control_input.plot(t, u_ll,\n", " color=cp['blue'], label=r'avanço-atraso', linewidth=2)\n", "control_input.set_ylabel(r'$u$')\n", "control_input.set_xlabel(r'$t$ (s)')\n", "control_input.legend()\n", "control_input.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1.5. Resposta a rampa" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "84fdae2d703b460a89b54fb0388260cd", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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