{ "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) >
"
]
},
{
"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": {
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\n",
"text/plain": [
" "
]
}
],
"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
}