{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "polos de malha aberta\n", "-2 -3 -5\n", "P=0 Zero polos instáveis\n", "polos de malha fechada\n", "[-13.41355889+0.j 1.70677944+8.59504957j\n", " 1.70677944-8.59504957j]\n", "[-5. -3. -2.]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy.signal import lsim\n", "import control as ctl\n", "from control import (TransferFunction)\n", "\n", "\n", "t = np.linspace(0, 20, 1001)\n", "\n", "# polos de malha aberta\n", "print('polos de malha aberta')\n", "print('-2','-3','-5')\n", "print('P=0','Zero polos instáveis')\n", "\n", "# polos de malha fechada\n", "rp = np.roots([1,10,31,1030])\n", "print('polos de malha fechada')\n", "print(rp)\n", "\n", "# sistema em malha aberta\n", "den_ = np.convolve([1,2],[1,3])\n", "den = np.convolve(den_,[1,5])\n", "H = TransferFunction(1000, den)\n", "print(ctl.pole(H))\n", "out = ctl.rlocus(H, kvect=None, xlim=None, ylim=None, plotstr=None, Plot=True, PrintGain=True, grid=None)\n" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(2)\n", "ctl.nyquist_plot(H,label='K=1.0')\n", "plt.legend(loc='best', shadow=True, framealpha=1)\n", "plt.grid(alpha=0.3)\n", "plt.xlabel('t')\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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