{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Discrete PI with ITAE parameters\n", "This notebook reproduces Figure 17.10 in Seborg _et al_ and also goes a little further" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from tbcontrol import blocksim, fopdtitae" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def limit(u, umin, umax):\n", " return max(umin, min(u, umax))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "class DiscretePI(blocksim.Block):\n", " def __init__(self, name, inputname, outputname, K, tau_I, deltat, umin=-numpy.inf, umax=numpy.inf):\n", " super().__init__(name, inputname, outputname)\n", "\n", " self.K = K\n", " self.tau_I = tau_I\n", " self.deltat = deltat\n", " self.umin = umin\n", " self.umax = umax\n", " self.reset()\n", "\n", " def reset(self):\n", " self.state = 0\n", " self.output = 0\n", " self.eint = 0\n", " self.nextsample = 0\n", " \n", " def change_input(self, t, e):\n", " if t >= self.nextsample:\n", " self.eint += e*self.deltat\n", " self.output = self.K*(e + self.eint/self.tau_I)\n", " self.nextsample += self.deltat\n", " \n", " return limit(self.output, self.umin, self.umax)\n", " \n", " def change_state(self, x):\n", " self.state = x\n", " \n", " def derivative(self, e):\n", " return 0" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "class DiscretePI_vel(DiscretePI):\n", " def reset(self):\n", " self.state = 0\n", " self.output = 0\n", " self.e_k_1 = 0\n", " self.nextsample = 0\n", " \n", " def change_input(self, t, e_k):\n", " if t >= self.nextsample:\n", " self.output += self.K*((e_k - self.e_k_1) + self.deltat/self.tau_I*e_k)\n", " self.output = limit(self.output, self.umin, self.umax)\n", " \n", " self.e_k_1 = e_k\n", " self.nextsample += self.deltat\n", "\n", " return self.output" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The system is\n", "\n", "$$ G = G_v G_p G_m = \\frac{-20 e^{-s}}{5s + 1} = \\frac{K_p e^{-\\theta s}}{\\tau_p s + 1}$$\n", "\n", "It is not explicitly stated in the example, but $G_d = G$ is assumed." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "Kp = -20\n", "taup = 5\n", "theta = 1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "G = blocksim.LTI('G', 'u', 'yu',\n", " Kp, [taup, 1], theta)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "Gd = blocksim.LTI('G', 'd', 'yd',\n", " Kp, [taup, 1], theta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note we can't just do `G = Gd` because we need new names and a new state for the block." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "sums = {'y': ('+yu', '+yd'),\n", " 'e': ('-y', '+r')}" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "inputs = {'r': blocksim.zero,\n", " 'd': blocksim.step()}" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "ts = numpy.linspace(0, 15, 2000)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "deltats = [0.05, 0.25, 0.5, 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reconstruction\n", "Here is the direct reconstruction of Figure 11.10. Turns out they use a continuous PI controller with the parameters for a discrete controller." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def simulate(controller, discrete=True, umin=-numpy.inf, umax=numpy.inf):\n", " fig, (uaxis, yaxis) = plt.subplots(2, 1, figsize=(5, 10))\n", " for deltat in deltats:\n", " Kc, tau_I = fopdtitae.parameters(Kp, taup, theta + deltat/2)\n", " Gc = controller('Gc', 'e', 'u',\n", " Kc, tau_I, \n", " *((deltat, umin, umax) if discrete else ()))\n", " diagram = blocksim.Diagram([G, Gd, Gc], sums, inputs)\n", " outputs = diagram.simulate(ts)\n", " uaxis.plot(ts, outputs['u'])\n", " yaxis.plot(ts, outputs['y'], label='∆t={}'.format(deltat))\n", " uaxis.set_ylabel('u')\n", " yaxis.set_ylabel('y')\n", " yaxis.plot(ts, outputs['r'], label='r')\n", " yaxis.legend()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "simulate(blocksim.PI, discrete=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Discrete responses" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "simulate(DiscretePI_vel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks different from the given figure, but the position form and velocity form look identical. Note that the analog PI controller gets better results than the digital approximations with the same controller parameters. \"Better\" in this context means that in general the error is smaller (note the worst case error in the analog case is about 5, while in the digital case it's almost 7." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With output limits\n", "Now, let's include limiting behaviour" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "simulate(DiscretePI, umin=-1.2, umax=0)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "simulate(DiscretePI_vel, umin=-1.2, umax=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The windup on the position form PID is very clear. In the \"wound up\" case, the output is stuck at the limit for a long time as the controller has to unwind the integral before moving away from the limit. In the velocity form, the output comes away from the limit much faster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With setpoint tracking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's include setpoint tracking as well." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "inputs['r'] = blocksim.step(starttime=0)\n", "inputs['d'] = blocksim.step(starttime=15)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "ts = numpy.linspace(0, 30, 2000)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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