{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "SistemasSegundaOrdem.ipynb", "provenance": [], "collapsed_sections": [], "toc_visible": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "6doERYviL3T2", "colab_type": "text" }, "source": [ "# Sistemas de Segunda ordem\n", "\n", "Este Notebook serve de apoio à \n", "\n", " [Aula 08 Laboratório de Sistemas Dinâmicos I](https://edisciplinas.usp.br/pluginfile.php/5423366/mod_resource/content/1/Aula%2008%20de%20Laboratorio_Sistemas%20de%20Segunda%20Ordem.pdf)
\n" ] }, { "cell_type": "markdown", "metadata": { "id": "Igm8dwuBhABC", "colab_type": "text" }, "source": [ "Hoje iremos usar pacote\n", "[Python Control Systems Toolbox](https://web.math.princeton.edu/~cwrowley/python-control/intro.html#overview-of-the-toolbox) ou *python-control*. \n", "\n", "O pacote *python-control* é um conjunto de classes e funções python que implementam operações comuns para a análise e design de sistemas de controle de feedback. O pacote é baseado nos exemplos do livro [Feedback Systems](http://www.cds.caltech.edu/~murray/amwiki/index.php/Second_Edition), de Karl J. Åström and Richard M. Murray.\n", "\n", "Está disponível um pacote de compatibilidade do MATLAB (`control.matlab`) que fornece muitas das funções comuns correspondentes aos comandos disponíveis na caixa de ferramentas dos sistemas de controle do MATLAB." ] }, { "cell_type": "code", "metadata": { "id": "8ay1SvVW6c-g", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 592 }, "outputId": "d0130168-6820-471f-fcf2-07e715e26473" }, "source": [ "!pip install slycot\n", "!pip install control" ], "execution_count": 2, "outputs": [ { "output_type": "stream", "text": [ "Collecting slycot\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/85/21/4e7110462f3529b2fbcff8a519b61bf64e0604b8fcbe9a07649c9bed9d7a/slycot-0.4.0.0.tar.gz (1.5MB)\n", "\u001b[K |████████████████████████████████| 1.6MB 5.0MB/s \n", "\u001b[?25h Installing build dependencies ... \u001b[?25l\u001b[?25hdone\n", " Getting requirements to build wheel ... \u001b[?25l\u001b[?25hdone\n", " Preparing wheel metadata ... \u001b[?25l\u001b[?25hdone\n", "Requirement already satisfied: numpy in /usr/local/lib/python3.6/dist-packages (from slycot) (1.18.5)\n", "Building wheels for collected packages: slycot\n", " Building wheel for slycot (PEP 517) ... \u001b[?25l\u001b[?25hdone\n", " Created wheel for slycot: filename=slycot-0.4.0-cp36-cp36m-linux_x86_64.whl size=1413150 sha256=ff845898773ee6681d2d01be5b782f18ab2fc866223346faedc631f629a98d43\n", " Stored in directory: /root/.cache/pip/wheels/a2/46/56/f82cbb2fd06556f4f3952a2eb2396e8fd29264fffecbaad3cf\n", "Successfully built slycot\n", "Installing collected packages: slycot\n", "Successfully installed slycot-0.4.0\n", "Collecting control\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/e8/b0/32a903138505dd4ea523f8a3fc156c4272aa58b10100ef24ff74ced2fae8/control-0.8.3.tar.gz (249kB)\n", "\u001b[K |████████████████████████████████| 256kB 4.2MB/s \n", "\u001b[?25hRequirement already satisfied: numpy in /usr/local/lib/python3.6/dist-packages (from control) (1.18.5)\n", "Requirement already satisfied: scipy in /usr/local/lib/python3.6/dist-packages (from control) (1.4.1)\n", "Requirement already satisfied: matplotlib in /usr/local/lib/python3.6/dist-packages (from control) (3.2.1)\n", "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib->control) (2.4.7)\n", "Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib->control) (2.8.1)\n", "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib->control) (1.2.0)\n", "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.6/dist-packages (from matplotlib->control) (0.10.0)\n", "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.6/dist-packages (from python-dateutil>=2.1->matplotlib->control) (1.12.0)\n", "Building wheels for collected packages: control\n", " Building wheel for control (setup.py) ... \u001b[?25l\u001b[?25hdone\n", " Created wheel for control: filename=control-0.8.3-py2.py3-none-any.whl size=260982 sha256=ea6c0bb3c8e89cba624713e0bd27e627476c4c448c9d2840f7993b34fa2ab30b\n", " Stored in directory: /root/.cache/pip/wheels/c2/d9/cc/90b28cb139a6320a3af2285428b6da87eee8d8920c78bb0223\n", "Successfully built control\n", "Installing collected packages: control\n", "Successfully installed control-0.8.3\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "id": "NmY0ohxc86wC", "colab_type": "code", "colab": {} }, "source": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import control.matlab as control" ], "execution_count": 3, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "N4YNolx-nEZr", "colab_type": "text" }, "source": [ 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)" ] }, { "cell_type": "markdown", "metadata": { "id": "UM2mtXY_QjgV", "colab_type": "text" }, "source": [ "O equilíbrio do sistema ilustrado é dado pela equação,\n", "$$\n", "m\\ddot{y}(t) + b\\dot{y}(t) + k y(t) = r(t)\n", "$$\n", "que pode ser reescrita como,\n", "$$\n", "\\ddot{y}(t) + 2 \\zeta\\omega_n \\dot{y}(t) + \\omega_n^2 y(t) = r(t)\n", "$$\n", "\n", "Fazendo a transformada de Laplace da equação acima, tem-se a seguinte função de transferência:" ] }, { "cell_type": "markdown", "metadata": { "id": "0qLJEJZwQcAL", "colab_type": "text" }, "source": [ "Veja que a potência de $s$ é dois no termo do denominador e, portanto, a função de transferência acima é de segunda ordem e o sistema é considerado um *sistema de segunda ordem*, \n", "$$\n", "\\frac{Y(s)}{U(s)}=\\frac{K\\omega _n^2}{s^2+2\\zeta \\omega _ns+\\omega _n^2}\n", "$$\n", "* $Y(s)$ é a transformada de Laplace do sinal de saída, $y(t)$;\n", "* $R(s)$ é a transformada de Laplace do sinal de entrada, $r(t)$;\n", "* $\\omega_n=\\sqrt{k/m} $ é a frequência natural, i.é,\n", "* $\\zeta = \\frac{1}{\\omega_n}$ tempo característico ou período natural de oscilação: indica o tempo de resposta, ié, o tempo que o sistema leva para reagir a uma perturbação de entrada;\n", "* $\\zeta = \\frac{b}{b_{cr}} = \\frac{b}{2m\\omega_n}$ é o fator de amortecimento adimensional, é a relação entre o amortecimento real e o crítico. Fisicamente, é uma medida do grau de amortecimento (ou do caráter oscilatório) da resposta do sistema;\n", "* $K=\\frac{1}{k}$ é o ganho estático do sistema: é a razão entre os valores finais da resposta e de uma determinada entrada considerada\n", "\n", "Vamos adiantar uma definição: $\\omega_d = \\omega_n\\sqrt{1-\\zeta^2}$ é a frequência natural amortecida.\n", "\n", "\n", "\n", "A equação característica é \n", "$$\n", "s^2+2\\zeta \\omega _ns+\\omega _n^2=0\n", "$$\n", "cujas raízes são,\n", "$$\n", "s=\\frac{-2\\omega \\zeta _n\\pm \\sqrt{(2\\zeta\\omega _n)^2-4\\omega _n^2}}{2}=\\frac{-2(\\zeta\\omega _n\\pm \\omega _n\\sqrt{\\zeta ^2-1})}{2}\n", "$$\n", "\n", "$$\n", "\\Rightarrow s=-\\zeta \\omega_n \\pm \\omega _n\\sqrt{\\zeta ^2-1}=-\\zeta \\omega_n \\pm \\omega _d\n", "$$\n", "\n", "Percebe-se que o valor de $\\zeta$ é determinante na solução da equação acima e, portanto, no comportamento do sistema:\n", "\n", "* As duas raízes são imaginárias quando $\\zeta=0$.\n", "* As duas raízes são reais e iguais quando $\\zeta=1$.\n", "* As duas raízes são reais, mas não são iguais quando $\\zeta\\gt 0$.\n", "* As duas raízes são conjugadas complexas quando $\\zeta \\lt 1$.\n", "\n", "Pode-se escrever $Y(s)$ como\n", "$$\n", "Y(s)=\\left ( \\frac{K\\omega _n^2}{s^2+2\\zeta\\omega_ns+\\omega_n^2} \\right )R(s)\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": { "id": "sun-BeREnZT5", "colab_type": "text" }, "source": [ "## Resposta de um sistema de segunda ordem a uma função degrau\n", "\n", "$$\n", "R(s)=\\frac{1}{s}\n", "$$\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "Mrg-ZxqCwK_R", "colab_type": "text" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "mUwXI-G66ujQ", "colab_type": "text" }, "source": [ "### Caso de $\\zeta = 0$\n", "\n", "Substituindo-se $\\zeta=0$ e $R(s)$ na função de transferência, tem-se,\n", "\n", "$$\n", "Y(s)=\\left( \\frac{\\omega_n^2}{s^2+\\omega_n^2} \\right )\\left( \\frac{1}{s} \\right )=\\frac{\\omega_n^2}{s(s^2+\\omega_n^2)}\n", "$$\n", "\n", "A inversa de Laplace leva a,\n", "$$\n", "y(t)=\\left [ 1-\\cos(\\omega_n t) \\right] u(t)\n", "$$\n", "onde $u(t)$ é a função degrau. Portanto, a resposta da unidade ao sistema de segunda ordem quando $\\zeta = 0$ será um sinal de tempo contínuo com amplitude e frequência constantes.\n", "\n", "As células a seguir demonstram o uso de duas funções na biblioteca de sistemas de controle, `tf` e` step`. Suponha que um sinal $Y(s)$ esteja relacionado a uma entrada $U(s) $ pela fórmula\n", "\n", "$$Y(s) = \\underbrace{\\frac{3}{s^2+1}}_{G(s)} U(s)$$\n", "\n", "A função de transferência,\n", "\n", "$$G(s) = \\frac{3}{s^2+1}$$\n", "\n", "é representada na biblioteca do sistema de controle usando `tf(num,den)` onde `num` e` den` listam os coeficientes dos polinômios do numerador e do denominador, respectivamente." ] }, { "cell_type": "code", "metadata": { "id": "HTy4P-hg-5x-", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 156 }, "outputId": "ffdef32c-aa31-4944-9e87-548966beae36" }, "source": [ "num=np.array([3])\n", "den=np.array([1,0,1])\n", "G0 = control.tf(num, den)\n", "\n", "#Função de transferência\n", "print('Função de transferência:')\n", "print(G0)\n", "\n", "#Parâmetros básicos do sistema de segunda ordem\n", "print('Parâmetros básicos do sistema de segunda ordem:')\n", "omega_n=np.sqrt(den[2]/den[0])\n", "K=(num[0]/omega_n**2)/den[0]\n", "zeta = (den[1]/(2*omega_n))/den[0]\n", "print('Fator de amplificação: {:6.3f}, Fator de amortecimento: {:6.3f}, Frequência natural: {:6.3f}'.format(K,zeta,omega_n))" ], "execution_count": null, "outputs": [ { "output_type": "stream", "text": [ "Função de transferência:\n", "\n", " 3\n", "-------\n", "s^2 + 1\n", "\n", "Parâmetros básicos do sistema de segunda ordem:\n", "Fator de amplificação: 3.000, Fator de amortecimento: 0.000, Frequência natural: 1.000\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "id": "t08-JJZe-1Uc", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 313 }, "outputId": "9ce5b176-1ac2-4630-c669-5dd662b74da0" }, "source": [ "t=np.arange(0,20,0.01)\n", "y,t = control.step(G0,T=t)\n", "plt.plot(t,y)\n", "\n", "plt.xlabel('Tempo')\n", "plt.title('Resposta à função degrau')" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Text(0.5, 1.0, 'Resposta à função degrau')" ] }, "metadata": { "tags": [] }, "execution_count": 80 }, { "output_type": "display_data", "data": { "image/png": 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\n", 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