{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "*This notebook contains course material from [CBE30338](https://jckantor.github.io/CBE30338)\n", "by Jeffrey Kantor (jeff at nd.edu); the content is available [on Github](https://github.com/jckantor/CBE30338.git).\n", "The text is released under the [CC-BY-NC-ND-4.0 license](https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode),\n", "and code is released under the [MIT license](https://opensource.org/licenses/MIT).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [PID Control with Anti-Reset-Windup](http://nbviewer.jupyter.org/github/jckantor/CBE30338/blob/master/notebooks/04.04-PID-Control-with-Anti--Reset--Windup.ipynb) | [Contents](toc.ipynb) | [PID Controller Tuning](http://nbviewer.jupyter.org/github/jckantor/CBE30338/blob/master/notebooks/04.06-PID-Controller-Tuning.ipynb) >

\"Open

\"Download\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Realizable PID Control\n", "\n", "The next part that needs attention is the derivative control term which is currently implemented as\n", "\n", "\\begin{align}\n", "D & = K_D\\frac{de^D}{dt} \\approx K_D\\frac{e^D_k - e^D_{k-1}}{t_k - t_{k-1}}\n", "\\end{align}\n", "\n", "where is a weighted difference between the setpoing and process variable $e^D = \\gamma SP - PV$.\n", "\n", "This term clearly presents problems as the control sampling period gets small. Any difference between $e^D_k$ and $e^D_{k-1}$ due to measurement noise, for example, will be magnified when divided by the small difference between $t_k$ and $t_{k-1}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: PID Control with Significant Measurement Noise\n", "\n", "Here we start with the PID control algorithm that implements setpoint weighting and anti-reset windup. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def PID(Kp, Ki, Kd, MV_bar=0, beta=1, gamma=0):\n", " # initialize stored data\n", " eD_prev = 0\n", " t_prev = -100\n", " P = 0\n", " I = 0\n", " D = 0\n", " \n", " # initial control\n", " MV = MV_bar\n", " \n", " while True:\n", " # yield MV, wait for new t, SP, PV, TR\n", " data = yield MV\n", " \n", " # see if a tracking data is being supplied\n", " if len(data) < 4:\n", " t, PV, SP = data\n", " else:\n", " t, PV, SP, TR = data\n", " I = TR - MV_bar - P - D\n", " \n", " # PID calculations\n", " P = Kp*(beta*SP - PV)\n", " I = I + Ki*(SP - PV)*(t - t_prev)\n", " eD = gamma*SP - PV\n", " D = Kd*(eD - eD_prev)/(t - t_prev)\n", " MV = MV_bar + P + I + D\n", " \n", " # Constrain MV to range 0 to 100 for anti-reset windup\n", " MV = 0 if MV < 0 else 100 if MV > 100 else MV\n", " I = MV - MV_bar - P - D\n", " \n", " # update stored data for next iteration\n", " eD_prev = eD\n", " t_prev = t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We modify the control problem by introducing a signficant degree of measurement noise.\n", "\n", "\\begin{align}\n", "T^{meas}_{1,k} & = T_{1,k} + e_k\n", "\\end{align}\n", "\n", "where the measurement error is a normal random variable with zero mean and a standard deviation of 2°C. For this example we've deliberately chosen a large value of $K_D = 10$ to illustrate the issue of using significant amounts of derivative control in presence of measurement noise." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "TCLab Model disconnected successfully.\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from tclab import clock, setup, Historian, Plotter\n", "import numpy as np\n", "\n", "TCLab = setup(connected=False, speedup=10)\n", "\n", "controller = PID(2, 0.1, 10, beta=0) # create pid control\n", "controller.send(None) # initialize\n", "\n", "tfinal = 600\n", "\n", "with TCLab() as lab:\n", " h = Historian([('SP', lambda: SP), ('PV', lambda: PV), ('MV', lambda: MV), ('Q1', lab.Q1)])\n", " p = Plotter(h, tfinal)\n", " T1 = lab.T1\n", " for t in clock(tfinal, 1):\n", " SP = T1 if t < 50 else 50 # get setpoint\n", " PV = lab.T1 + 2*np.random.normal() # get measurement\n", " MV = controller.send([t, PV, SP, lab.Q1()]) # compute manipulated variable\n", " lab.Q1(MV) # apply \n", " p.update(t) # update information display" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Modifying the Derivative Term\n", "\n", "To avoid problems with high frequency measurement noise and disturbances, consider an implementation of the derivative term of PID control using a first-order model\n", "\n", "\\begin{align}\n", "\\tau_f \\frac{dD}{dt} + D & = K_D \\frac{de^D}{dt}\n", "\\end{align}\n", "\n", "where $e^D = \\gamma SP - PV$ is the setpoint weighted error. The idea behind this model is that, for slowly varying changes, $D \\sim K_d \\frac{de_D}{dt}$ which provides the desired derivative control function, and for more rapidly varying changes $\\tau_f \\frac{dD}{dt} + D \\sim K_d \\frac{de_D}{dt}$ which dissipates the influence of more rapidly varying changes attributable to measurement noise.\n", "\n", "The characteristic time constant $\\tau_f$ is chosen as a fraction of the derivative time constant $\\tau_D$\n", "\n", "\\begin{align}\n", "\\tau_f & = \\frac{\\tau_D}{N} = \\frac{K_D}{NK_P}\n", "\\end{align}\n", "\n", "Rearraging for $D$ and integrating this model gives\n", "\n", "\\begin{align}\n", "D & = \\frac{K_D}{\\tau_f} e^D - \\frac{1}{\\tau_f} \\int_0^t D\\ dt \n", "\\end{align}\n", "\n", "In discrete time we define and use a backwards difference approximation to obtain\n", "\n", "\\begin{align}\n", "S_k & = \\int_0^{t_k} D\\ dt \\\\\n", "& \\approx \\sum_{k'=1 }^{k} D_{k'} (t_{k'} - t_{k'-1}) = D_k (t_k - t_{k-1}) + S_{k-1}\n", "\\end{align}\n", "\n", "The backwards difference approximation provides a recursion relationship that is stable for all $t_k \\geq t_{k-1}$. We are thereby tracking a pair of implicit recursion relations\n", "\n", "\\begin{align}\n", "D_k & = \\frac{K_D}{\\tau_f} e^D_k - \\frac{1}{\\tau_f} \\left[ D_k(t_k - t_{k-1}) + S_{k-1} \\right] \\\\\n", "\\\\\n", "S_k & = D_k (t_k - t_{k-1}) + S_{k-1}\n", "\\end{align}\n", "\n", "Making these explicit\n", "\n", "\\begin{align}\n", "D_k & = \\frac{K_D e^D_k - S_{k-1}}{\\tau_f + (t_k - t_{k-1})} \\\\\n", "\\\\\n", "S_k & = D_k (t_k - t_{k-1}) + S_{k-1}\n", "\\end{align}\n", "\n", "Finally, using parameters for the non-interacting model of PID control\n", "\n", "\\begin{align}\n", "D_k & = \\frac{NK_P(K_De^D_k - S_{k-1})}{K_D + NK_P(t_k - t_{k-1})} \\\\\n", "\\\\\n", "S_k & = D_k (t_k - t_{k-1}) + S_{k-1}\n", "\\end{align}\n", "\n", "This recursive calculation can be initialized with $S_0 = K_De^D_0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example Revisited\n", "\n", "To show the impact of this change in the implementation of the derivative term, we repeat the experiment above with the revised algorithm and $N = 1$. (A more typical value of $N$ is 5 or 10, but we've chosen a somewhat more conservative value because of the magnitude of the measurement noise present in this example, and the large value of $K_D$ chosen to demonstrate the issues." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "def PID(Kp, Ki, Kd, MV_bar=0, MV_min=0, MV_max=100, beta=1, gamma=0, N=10):\n", "\n", " # initial yield and return\n", " data = yield MV_bar\n", " t, = data[0:3]\n", " \n", " P = Kp*(beta*SP - PV)\n", " MV = MV_bar + P\n", " MV = 0 if MV < 0 else 100 if MV > 100 else MV\n", " I = 0\n", " D = 0\n", " dI = 0\n", " \n", " S = Kd*(gamma*SP - PV)\n", " t_prev = t\n", " \n", " while True:\n", " # yield MV, wait for new t, SP, PV, TR\n", " data = yield MV, P, I, D, dI\n", " \n", " # see if a tracking data is being supplied\n", " if len(data) < 4:\n", " t, PV, SP = data\n", " else:\n", " t, PV, SP, TR = data\n", " d = MV - TR\n", " #I = TR - MV_bar - P - D\n", " \n", " # PID calculations\n", " P = Kp*(beta*SP - PV)\n", " eD = gamma*SP - PV\n", " D = N*Kp*(Kd*eD - S)/(Kd + N*Kp*(t - t_prev))\n", " \n", " # conditional integration\n", " dI = Ki*(SP - PV)*(t - t_prev)\n", " if (MV_bar + P + I + D + dI) > MV_max:\n", " dI = max(0, min(dI, MV_max - MV_bar - P - I - D))\n", " if (MV_bar + P + I + D + dI) < MV_min:\n", " dI += min(0, max(dI, MV_min - MV_bar - P - I - D))\n", " I += dI\n", " MV = MV_bar + P + I + D \n", " \n", " # Clamp MV to range 0 to 100 for anti-reset windup\n", " MV = max(MV_min, min(MV_max, MV))\n", " \n", " # update stored data for next iteration\n", " S = D*(t - t_prev) + S\n", " t_prev = t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The desired setpoint is 50°C which is acheived with a power setting of approximately 50%. We'll start out at the power setting for a period of 400 seconds, then turn on the controller." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "TCLab Model disconnected successfully.\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from tclab import clock, setup, Historian, Plotter\n", "import numpy as np\n", "\n", "TCLab = setup(connected=False, speedup=10)\n", "\n", "controller = PID(2, 1, 0, beta=1, N=1) # create pid control\n", "controller.send(None) # initialize\n", "\n", "tfinal = 600\n", "\n", "with TCLab() as lab:\n", " h = Historian([('SP', lambda: SP), ('PV', lambda: PV), ('MV', lambda: MV), ('Q1', lab.Q1),\n", " ('P', lambda: P), ('I', lambda: I), ('D', lambda: D), ('d', lambda: d)])\n", " p = Plotter(h, tfinal)\n", " T1 = lab.T1\n", " for t in clock(tfinal, 1):\n", " SP = T1 if t < 50 else 120 # get setpoint\n", " PV = lab.T1 + 2*np.random.normal() # get measurement\n", " MV, P, I, D, d = controller.send([t, PV, SP, lab.Q1()]) # compute manipulated variable\n", " lab.Q1(MV) # apply \n", " p.update(t) # update information display" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [PID Control with Anti-Reset-Windup](http://nbviewer.jupyter.org/github/jckantor/CBE30338/blob/master/notebooks/04.04-PID-Control-with-Anti--Reset--Windup.ipynb) | [Contents](toc.ipynb) | [PID Controller Tuning](http://nbviewer.jupyter.org/github/jckantor/CBE30338/blob/master/notebooks/04.06-PID-Controller-Tuning.ipynb) >

\"Open

\"Download\"" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }