{ "cells": [ { "cell_type": "markdown", "metadata": { "nbpages": { "level": 0, "link": "[](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html)", "section": "" } }, "source": [ "\n", "*This notebook contains material from [CBE32338](https://jckantor.github.io/CBE32338);\n", "content is available [on Github](https://github.com/jckantor/CBE32338.git).*\n" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 0, "link": "[](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html)", "section": "" } }, "source": [ "\n", "< [5.0 Predictive Control and Real Time Optimization](https://jckantor.github.io/CBE32338/05.00-Predictive-Control-and-Real-Time-Optimization.html) | [Contents](toc.html) | [5.2 Simulation, Control, and Estimation using Pyomo](https://jckantor.github.io/CBE32338/05.02-Optimization-Control-and-Estimation-using-Pyomo-With-Windows-ipopt.html) >

\"Open

\"Download\"" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[5.1 Simulation, Control, and Estimation using Pyomo](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1-Simulation,-Control,-and-Estimation-using-Pyomo)", "section": "5.1 Simulation, Control, and Estimation using Pyomo" } }, "source": [ "# 5.1 Simulation, Control, and Estimation using Pyomo" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.1 Installations](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.1-Installations)", "section": "5.1.1 Installations" } }, "source": [ "## 5.1.1 Installations\n", "\n", "The following instructions show how to download and install pyomo and the ipopt solver. Execute the appropriate cell for your platform (if needed)." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[5.1.1.1 Google Colab](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.1.1-Google-Colab)", "section": "5.1.1.1 Google Colab" } }, "source": [ "### 5.1.1.1 Google Colab" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "nbpages": { "level": 3, "link": "[5.1.1.1 Google Colab](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.1.1-Google-Colab)", "section": "5.1.1.1 Google Colab" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/bin/sh: wget: command not found\n", "unzip: cannot find or open ipopt-linux64, ipopt-linux64.zip or ipopt-linux64.ZIP.\n" ] } ], "source": [ "!pip install -q pyomo\n", "!wget -N -q \"https://ampl.com/dl/open/ipopt/ipopt-linux64.zip\"\n", "!unzip -o -q ipopt-linux64\n", "ipopt_executable = '/content/ipopt'" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[5.1.1.2 MacOS](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.1.2-MacOS)", "section": "5.1.1.2 MacOS" } }, "source": [ "### 5.1.1.2 MacOS" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "nbpages": { "level": 3, "link": "[5.1.1.2 MacOS](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.1.2-MacOS)", "section": "5.1.1.2 MacOS" } }, "outputs": [], "source": [ "!pip install -q pyomo\n", "!curl -s https://ampl.com/dl/open/ipopt/ipopt-osx.zip --output ipopt-osx.zip\n", "!tar xf ipopt-osx.zip ipopt\n", "ipopt_executable = \"./ipopt\"\n", "!rm ipopt-osx.zip" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[5.1.1.3 Windows PC](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.1.3-Windows-PC)", "section": "5.1.1.3 Windows PC" } }, "source": [ "### 5.1.1.3 Windows PC" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "nbpages": { "level": 3, "link": "[5.1.1.3 Windows PC](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.1.3-Windows-PC)", "section": "5.1.1.3 Windows PC" } }, "outputs": [], "source": [ "!conda install -c conda-forge pyomo pyomo.extras\n", "# Can anyone help?" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.2 Process Information](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.2-Process-Information)", "section": "5.1.2 Process Information" } }, "source": [ "## 5.1.2 Process Information\n", "\n", "\\begin{align*}\n", "C_p^H \\frac{dT_H}{dt} & = U_a (T_{amb} - T_H) + U_c (T_S - T_H) + P u(t) + d(t)\\\\\n", "C_p^S \\frac{dT_S}{dt} & = - U_c (T_S - T_H) \n", "\\end{align*}\n" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[5.1.2.1 Process Parameter Values](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.2.1-Process-Parameter-Values)", "section": "5.1.2.1 Process Parameter Values" } }, "source": [ "### 5.1.2.1 Process Parameter Values" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "nbpages": { "level": 3, "link": "[5.1.2.1 Process Parameter Values](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.2.1-Process-Parameter-Values)", "section": "5.1.2.1 Process Parameter Values" } }, "outputs": [], "source": [ "P = 0.04 # power input when the system is turned\n", "Ua = 0.068 # heat transfer coefficient from heater to environment\n", "CpH = 6.50 # heat capacity of the heater (J/deg C)\n", "CpS = 1.25 # heat capacity of the sensor (J/deg C)\n", "Uc = 0.036 # heat transfer coefficient from heater to sensor\n", "Tamb = 21.0 # ambient room temperature" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[5.1.2.2 Process Inputs](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.2.2-Process-Inputs)", "section": "5.1.2.2 Process Inputs" } }, "source": [ "### 5.1.2.2 Process Inputs\n", "\n", "The next cell defines some process inputs that will be used throughout the notebook to demonstrate aspects of process simulation, control, and estimation. These are gathered in one place to make it easier to modify the notebook to test the response under different conditions. These functions are implemented using the `interp1d` from the `scipy` library." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "nbpages": { "level": 3, "link": "[5.1.2.2 Process Inputs](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.2.2-Process-Inputs)", "section": "5.1.2.2 Process Inputs" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from scipy import interpolate\n", "import numpy as np\n", "\n", "tclab_disturbance = interpolate.interp1d(\n", " [ 0, 300, 400, 9999], \n", " [ 0, 0, -.5, -.5])\n", "\n", "tclab_input = interpolate.interp1d(\n", " [ 0, 50, 51, 450, 451, 9999],\n", " [ 0, 0, 80, 80, 25, 25])\n", "\n", "tclab_setpoint = interpolate.interp1d(\n", " [0, 50, 150, 450, 550, 9999], \n", " [Tamb, Tamb, 60, 60, 35, 35])\n", "\n", "t_sim = np.linspace(0, 1000, 201)\n", "u_sim = tclab_input(t_sim)\n", "d_sim = tclab_disturbance(t_sim)\n", "setpoint_sim = tclab_setpoint(t_sim)\n", "\n", "plt.figure(figsize=(10,6))\n", "plt.subplot(3, 1, 1)\n", "plt.plot(t_sim, setpoint_sim)\n", "plt.title('setpoint')\n", "plt.ylabel('deg C')\n", "plt.grid(True)\n", "\n", "plt.subplot(3, 1, 2)\n", "plt.plot(t_sim, u_sim)\n", "plt.title('heat power input')\n", "plt.ylabel('percent of max')\n", "plt.grid(True)\n", "\n", "plt.subplot(3, 1, 3)\n", "plt.plot(t_sim, d_sim)\n", "plt.title('unmeasured disturbance')\n", "plt.ylabel('watts')\n", "plt.grid(True)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.3 Pyomo Simulation](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.3-Pyomo-Simulation)", "section": "5.1.3 Pyomo Simulation" } }, "source": [ "## 5.1.3 Pyomo Simulation\n", "\n", "Let's see how well our initial guess at a control strategy will work for us.\n", "\n", "\\begin{align*}\n", "C_p^H \\frac{dT_H}{dt} & = U_a (T_{amb} - T_H) + U_c (T_S - T_H) + P u(t) + d(t)\\\\\n", "C_p^S \\frac{dT_S}{dt} & = - U_c (T_S - T_H) \n", "\\end{align*}\n", "\n", "subject to initial conditions\n", "\n", "\\begin{align*}\n", "T_H(t_0) & = T_{amb} \\\\\n", "T_S(t_0) & = T_{amb}\n", "\\end{align*}\n", "\n", "and prior specification of inputs $u(t)$ and $d(t)$." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "nbpages": { "level": 2, "link": "[5.1.3 Pyomo Simulation](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.3-Pyomo-Simulation)", "section": "5.1.3 Pyomo Simulation" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: More finite elements were found in ContinuousSet 't' than the number\n", " of finite elements specified in apply. The larger number of finite\n", " elements will be used.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pyomo.environ import *\n", "from pyomo.dae import *\n", "\n", "m = ConcreteModel()\n", "m.t = ContinuousSet(initialize = t_sim) # make sure the expt time grid are discretization points\n", "m.Th = Var(m.t)\n", "m.Ts = Var(m.t)\n", "m.U = Var(m.t, bounds=(0, 100))\n", "m.D = Var(m.t)\n", "\n", "m.Thdot = DerivativeVar(m.Th, wrt = m.t)\n", "m.Tsdot = DerivativeVar(m.Ts, wrt = m.t)\n", "\n", "# differential equations\n", "m.Th_ode = Constraint(m.t, rule = lambda m, t: \n", " CpH*m.Thdot[t] == Ua*(Tamb - m.Th[t]) + Uc*(m.Ts[t] - m.Th[t]) + P*m.U[t] + m.D[t])\n", "m.Ts_ode = Constraint(m.t, rule = lambda m, t: \n", " CpS*m.Tsdot[t] == Uc*(m.Th[t] - m.Ts[t]))\n", "\n", "# input specifications\n", "m.Usim = Constraint(range(0, len(t_sim)), rule = lambda m, k: m.U[t_sim[k]] == u_sim[k])\n", "m.Dsim = Constraint(range(0, len(t_sim)), rule = lambda m, k: m.D[t_sim[k]] == d_sim[k])\n", "\n", "# initial conditions\n", "m.Th[0].fix(Tamb)\n", "m.Ts[0].fix(Tamb)\n", "\n", "TransformationFactory('dae.finite_difference').apply_to(m, method='forward')\n", "SolverFactory('ipopt', executable=ipopt_executable).solve(m)\n", "\n", "Th_sim = np.array([m.Th[t]() for t in t_sim])\n", "Ts_sim = np.array([m.Ts[t]() for t in t_sim])\n", "\n", "# visualization\n", "plt.figure(figsize=(10,6))\n", "plt.subplot(3, 1, 1)\n", "plt.plot(t_sim, Th_sim)\n", "plt.plot(t_sim, Ts_sim)\n", "plt.plot(t_sim, setpoint_sim)\n", "plt.title('temperatures')\n", "plt.ylabel('deg C')\n", "plt.legend(['T_heater', 'T_sensor', 'Heater Setpoint'])\n", "plt.grid(True)\n", "\n", "plt.subplot(3, 1, 2)\n", "plt.plot(t_sim, np.array([m.U[t]() for t in t_sim]))\n", "plt.title('heater power')\n", "plt.ylabel('percent of max')\n", "plt.grid(True)\n", "\n", "plt.subplot(3, 1, 3)\n", "plt.plot(t_sim, np.array([m.D[t]() for t in t_sim]))\n", "plt.title('disturbance')\n", "plt.ylabel('watts')\n", "plt.grid(True)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.4 Optimal Control with Knowledge of Disturbances](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.4-Optimal-Control-with-Knowledge-of-Disturbances)", "section": "5.1.4 Optimal Control with Knowledge of Disturbances" } }, "source": [ "## 5.1.4 Optimal Control with Knowledge of Disturbances\n", "\n", "An optimal control policy minimizes the differences\n", "\n", "\\begin{align*}\n", "\\min_{u} \\int_{t_0}^{t_f} \\|T_H^{SP}(t) - T_H(t)\\|^2\\,dt \\\\\n", "\\end{align*}\n", "\n", "subject to constraints\n", "\n", "\\begin{align*}\n", "C_p^H \\frac{dT_H}{dt} & = U_a (T_{amb} - T_H) + U_c (T_S - T_H) + P u(t) + d(t)\\\\\n", "C_p^S \\frac{dT_S}{dt} & = - U_c (T_S - T_H) \n", "\\end{align*}\n", "\n", "initial conditions\n", "\n", "\\begin{align*}\n", "T_H(t_0) & = T_{amb} \\\\\n", "T_S(t_0) & = T_{amb}\n", "\\end{align*}\n", "\n", "and prior knowledge of $d(t)$." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "nbpages": { "level": 2, "link": "[5.1.4 Optimal Control with Knowledge of Disturbances](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.4-Optimal-Control-with-Knowledge-of-Disturbances)", "section": "5.1.4 Optimal Control with Knowledge of Disturbances" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# ==========================================================\n", "# = Solver Results =\n", "# ==========================================================\n", "# ----------------------------------------------------------\n", "# Problem Information\n", "# ----------------------------------------------------------\n", "Problem: \n", "- Lower bound: -inf\n", " Upper bound: inf\n", " Number of objectives: 1\n", " Number of constraints: 1208\n", " Number of variables: 1411\n", " Sense: unknown\n", "# ----------------------------------------------------------\n", "# Solver Information\n", "# ----------------------------------------------------------\n", "Solver: \n", "- Status: ok\n", " Message: Ipopt 3.12.8\\x3a Optimal Solution Found\n", " Termination condition: optimal\n", " Id: 0\n", " Error rc: 0\n", " Time: 0.09840011596679688\n", "# ----------------------------------------------------------\n", "# Solution Information\n", "# ----------------------------------------------------------\n", "Solution: \n", "- number of solutions: 0\n", " number of solutions displayed: 0\n", "CPU times: user 469 ms, sys: 118 ms, total: 587 ms\n", "Wall time: 402 ms\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%%time \n", "\n", "from pyomo.environ import *\n", "from pyomo.dae import *\n", "\n", "m = ConcreteModel()\n", "m.t = ContinuousSet(initialize = t_sim) # make sure the expt time grid are discretization points\n", "m.Th = Var(m.t)\n", "m.Ts = Var(m.t)\n", "m.U = Var(m.t, bounds=(0, 100))\n", "m.D = Var(m.t)\n", "\n", "m.Thdot = DerivativeVar(m.Th, wrt = m.t)\n", "m.Tsdot = DerivativeVar(m.Ts, wrt = m.t)\n", "m.Udot = DerivativeVar(m.U, wrt = m.t)\n", "\n", "# differential equations\n", "m.Th_ode = Constraint(m.t, rule = lambda m, t: \n", " CpH*m.Thdot[t] == Ua*(Tamb - m.Th[t]) + Uc*(m.Ts[t] - m.Th[t]) + P*m.U[t] + m.D[t])\n", "m.Ts_ode = Constraint(m.t, rule = lambda m, t: \n", " CpS*m.Tsdot[t] == Uc*(m.Th[t] - m.Ts[t]))\n", "\n", "#m.U_rate1 = Constraint(m.t, rule = lambda m, t: m.Udot[t] <= 0.25)\n", "#m.U_rate2 = Constraint(m.t, rule = lambda m, t: m.Udot[t] >= -0.25)\n", "\n", "# input specifications\n", "m.Dsim = Constraint(range(0, len(t_sim)), rule = lambda m, k: m.D[t_sim[k]] == d_sim[k])\n", "\n", "# with these two lines which provide an objective function to determine the input\n", "m.ls_control = sum([(setpoint_sim[k] - m.Th[t_sim[k]])**2 for k in range(0, len(t_sim))])\n", "m.obj = Objective(expr = m.ls_control, sense=minimize)\n", "\n", "# initial conditions\n", "m.Th[0].fix(Tamb)\n", "m.Ts[0].fix(Tamb)\n", "\n", "TransformationFactory('dae.finite_difference').apply_to(m, nfe=len(t_sim), method='forward')\n", "SolverFactory('ipopt', executable=ipopt_executable).solve(m).write()\n", "\n", "# visualization\n", "plt.figure(figsize=(10,6))\n", "plt.subplot(3, 1, 1)\n", "plt.plot(t_sim, np.array([m.Th[t]() for t in t_sim]))\n", "plt.plot(t_sim, np.array([m.Ts[t]() for t in t_sim]))\n", "plt.plot(t_sim, setpoint_sim)\n", "plt.title('temperatures')\n", "plt.ylabel('deg C')\n", "plt.legend(['T_heater', 'T_sensor', 'Heater Setpoint'])\n", "plt.grid(True)\n", "\n", "plt.subplot(3, 1, 2)\n", "plt.plot(t_sim, np.array([m.U[t]() for t in t_sim]))\n", "plt.title('heater power')\n", "plt.ylabel('percent of max')\n", "plt.grid(True)\n", "\n", "plt.subplot(3, 1, 3)\n", "plt.plot(t_sim, np.array([m.D[t]() for t in t_sim]))\n", "plt.title('disturbance')\n", "plt.ylabel('watts')\n", "plt.grid(True)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[5.1.4.1 Exercise](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.4.1-Exercise)", "section": "5.1.4.1 Exercise" } }, "source": [ "### 5.1.4.1 Exercise\n", "\n", "The optimal control computed above requires rapid changes in power level. In process systems where control action requires movement of a valve stem position, there are often limits on how fast the manipulated variable can change. Modify the model to include differential inequalities that limit the time rate of change of control.\n", "\n", "\\begin{align*}\n", "\\frac{du}{dt} & \\leq \\dot{u}_{max} \\\\\n", "\\frac{du}{dt} & \\geq -\\dot{u}_{max}\n", "\\end{align*}\n", "\n", "where $\\dot{u}_{max}$ is the maximum rate of change. " ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.5 Estimation/Observation](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.5-Estimation/Observation)", "section": "5.1.5 Estimation/Observation" } }, "source": [ "## 5.1.5 Estimation/Observation\n", "\n", "> \"... and now my watch begins ...\" ―The Night's Watch oath, Game of Thrones\n", "\n", "The trouble with open-loop optimal control is that we can't anticipate or know the values of unmeasured disturbances, much less the future values of those disturbances. The best we can do is use available data and process models to estimate the process state and disturbances. The est\n", "\n", "\n", "\\begin{align*}\n", "\\min_{\\hat{T}_H, \\hat{T}_S, \\hat{d}} \\int_{t - h}^t \\|\\hat{T}_S(t) - T_S(t)\\|^2\\,dt \\\\\n", "\\end{align*}\n", "\n", "subject to\n", "\n", "\\begin{align*}\n", "C_p^H \\frac{d\\hat{T}_H}{dt} & = U_a (T_{amb} - \\hat{T}_H) + U_c (\\hat{T}_S - \\hat{T}_H) + P u(t) + \\hat{d}(t)\\\\\n", "C_p^S \\frac{d\\hat{T}_S}{dt} & = - U_c (\\hat{T}_S - \\hat{T}_H) \n", "\\end{align*}\n", "\n", "and initial conditions\n", "\n", "\\begin{align*}\n", "T_H(t_0) & = T_{amb} \\\\\n", "T_S(t_0) & = T_{amb}\n", "\\end{align*}\n" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "nbpages": { "level": 2, "link": "[5.1.5 Estimation/Observation](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.5-Estimation/Observation)", "section": "5.1.5 Estimation/Observation" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# ==========================================================\n", "# = Solver Results =\n", "# ==========================================================\n", "# ----------------------------------------------------------\n", "# Problem Information\n", "# ----------------------------------------------------------\n", "Problem: \n", "- Lower bound: -inf\n", " Upper bound: inf\n", " Number of objectives: 1\n", " Number of constraints: 1007\n", " Number of variables: 1210\n", " Sense: unknown\n", "# ----------------------------------------------------------\n", "# Solver Information\n", "# ----------------------------------------------------------\n", "Solver: \n", "- Status: ok\n", " Message: Ipopt 3.12.8\\x3a Optimal Solution Found\n", " Termination condition: optimal\n", " Id: 0\n", " Error rc: 0\n", " Time: 0.05347895622253418\n", "# ----------------------------------------------------------\n", "# Solution Information\n", "# ----------------------------------------------------------\n", "Solution: \n", "- number of solutions: 0\n", " number of solutions displayed: 0\n", "CPU times: user 443 ms, sys: 121 ms, total: 564 ms\n", "Wall time: 326 ms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%%time \n", "\n", "from pyomo.environ import *\n", "from pyomo.dae import *\n", "\n", "m = ConcreteModel()\n", "m.t = ContinuousSet(initialize = t_sim) # make sure the expt time grid are discretization points\n", "m.Th = Var(m.t)\n", "m.Ts = Var(m.t)\n", "m.U = Var(m.t, bounds=(0, 100))\n", "m.D = Var(m.t)\n", "\n", "m.Thdot = DerivativeVar(m.Th, wrt = m.t)\n", "m.Tsdot = DerivativeVar(m.Ts, wrt = m.t)\n", "\n", "# differential equations\n", "m.Th_ode = Constraint(m.t, rule = lambda m, t: \n", " CpH*m.Thdot[t] == Ua*(Tamb - m.Th[t]) + Uc*(m.Ts[t] - m.Th[t]) + P*m.U[t] + m.D[t])\n", "m.Ts_ode = Constraint(m.t, rule = lambda m, t: \n", " CpS*m.Tsdot[t] == Uc*(m.Th[t] - m.Ts[t]))\n", "\n", "m.Usim = Constraint(range(0, len(t_sim)), rule = lambda m, k: m.U[t_sim[k]] == u_sim[k])\n", "\n", "\n", "m.ls_observer = sum([(m.Ts[t_sim[k]] - Ts_sim[k])**2 for k in range(0, len(t_sim))])\n", "m.obj = Objective(expr = m.ls_observer, sense=minimize)\n", "\n", "m.Th[0].fix(Tamb)\n", "m.Ts[0].fix(Tamb)\n", "\n", "TransformationFactory('dae.finite_difference').apply_to(m, nfe=len(t_sim), method='forward')\n", "SolverFactory('ipopt', executable=ipopt_executable).solve(m).write()\n", "\n", "# visualization\n", "plt.figure(figsize=(10,6))\n", "plt.subplot(3, 1, 1)\n", "plt.plot(t_sim, np.array([m.Th[t]() for t in t_sim]))\n", "plt.plot(t_sim, np.array([m.Ts[t]() for t in t_sim]))\n", "plt.plot(t_sim, setpoint_sim)\n", "plt.title('temperatures')\n", "plt.ylabel('deg C')\n", "plt.legend(['T_heater', 'T_sensor', 'Heater Setpoint'])\n", "plt.grid(True)\n", "\n", "plt.subplot(3, 1, 2)\n", "plt.plot(t_sim, np.array([m.U[t]() for t in t_sim]))\n", "plt.title('heater power')\n", "plt.ylabel('percent of max')\n", "plt.grid(True)\n", "\n", "plt.subplot(3, 1, 3)\n", "plt.plot(t_sim, np.array([m.D[t]() for t in t_sim]))\n", "plt.title('disturbance')\n", "plt.ylabel('watts')\n", "plt.grid(True)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.6 Coding the Observer as a Python Generator](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.6-Coding-the-Observer-as-a-Python-Generator)", "section": "5.1.6 Coding the Observer as a Python Generator" } }, "source": [ "## 5.1.6 Coding the Observer as a Python Generator" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "nbpages": { "level": 2, "link": "[5.1.6 Coding the Observer as a Python Generator](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.6-Coding-the-Observer-as-a-Python-Generator)", "section": "5.1.6 Coding the Observer as a Python Generator" }, "scrolled": false }, "outputs": [], "source": [ "from pyomo.environ import *\n", "from pyomo.dae import *\n", "\n", "def tclab_observer(h=2):\n", " t_hist = [-1]\n", " u_hist = [0]\n", " Ts_hist = [Tamb]\n", " \n", " t_est = -1\n", " Th_est = []\n", " Ts_est = []\n", " d_est = []\n", " \n", " while True:\n", " t_meas, u_meas, Ts_meas = yield t_est, Th_est, Ts_est, d_est\n", " \n", " t_hist.append(t_meas)\n", " u_hist.append(u_meas)\n", " Ts_hist.append(Ts_meas)\n", " \n", " t_hist = t_hist[-h:]\n", " u_hist = u_hist[-h:]\n", " Ts_hist = Ts_hist[-h:]\n", " \n", " m = ConcreteModel()\n", " m.t = ContinuousSet(initialize = t_hist)\n", " m.Th = Var(m.t)\n", " m.Ts = Var(m.t)\n", " m.U = Var(m.t, bounds=(0, 100))\n", " m.D = Var(m.t)\n", "\n", " m.Thdot = DerivativeVar(m.Th, wrt = m.t)\n", " m.Tsdot = DerivativeVar(m.Ts, wrt = m.t)\n", "\n", " m.Th_ode = Constraint(m.t, rule = lambda m, t: \n", " CpH*m.Thdot[t] == Ua*(Tamb - m.Th[t]) + Uc*(m.Ts[t] - m.Th[t]) + P*m.U[t] + m.D[t])\n", " m.Ts_ode = Constraint(m.t, rule = lambda m, t: \n", " CpS*m.Tsdot[t] == Uc*(m.Th[t] - m.Ts[t]))\n", "\n", " m.Usim = Constraint(range(0, len(t_hist)), rule = lambda m, k: m.U[t_hist[k]] == u_hist[k])\n", "\n", " m.ls_observer = sum([(m.Ts[t_hist[k]] - Ts_hist[k])**2 for k in range(0, len(t_hist))])\n", " m.obj = Objective(expr = m.ls_observer, sense=minimize)\n", "\n", " TransformationFactory('dae.finite_difference').apply_to(m, nfe=len(t_hist), method='forward')\n", " SolverFactory('ipopt', executable=ipopt_executable).solve(m)\n", " \n", " t_est = t_hist[-1]\n", " Th_est = m.Th[t_est]()\n", " Ts_est = m.Ts[t_est]()\n", " d_est = m.D[t_est]()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "nbpages": { "level": 2, "link": "[5.1.6 Coding the Observer as a Python Generator](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.6-Coding-the-Observer-as-a-Python-Generator)", "section": "5.1.6 Coding the Observer as a Python Generator" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.53 s, sys: 1.37 s, total: 3.9 s\n", "Wall time: 6.29 s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%%time\n", "\n", "t_est = []\n", "Th_est = []\n", "Ts_est = []\n", "d_est = []\n", "\n", "observer = tclab_observer(5)\n", "observer.send(None)\n", "\n", "for k in range(0, len(t_sim)):\n", " t, Th, Ts, d = observer.send([t_sim[k], u_sim[k], Ts_sim[k]])\n", " t_est.append(t)\n", " Th_est.append(Th)\n", " Ts_est.append(Ts)\n", " d_est.append(d)\n", " \n", "plt.figure(figsize=(10,8))\n", "plt.subplot(3,1,1)\n", "plt.plot(t_est, Th_est)\n", "plt.plot(t_sim, Th_sim)\n", "plt.grid(True)\n", "\n", "plt.subplot(3,1,2)\n", "plt.plot(t_est, Ts_est)\n", "plt.plot(t_sim, Ts_sim)\n", "plt.grid(True)\n", "\n", "plt.subplot(3,1,3)\n", "plt.plot(t_est, d_est)\n", "plt.plot(t_sim, d_sim)\n", "plt.grid(True)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.7 Coding the Controller as a Python Generator](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.7-Coding-the-Controller-as-a-Python-Generator)", "section": "5.1.7 Coding the Controller as a Python Generator" } }, "source": [ "## 5.1.7 Coding the Controller as a Python Generator" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "nbpages": { "level": 2, "link": "[5.1.7 Coding the Controller as a Python Generator](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.7-Coding-the-Controller-as-a-Python-Generator)", "section": "5.1.7 Coding the Controller as a Python Generator" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jeff/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:11: DeprecationWarning: object of type cannot be safely interpreted as an integer.\n", " # This is added back by InteractiveShellApp.init_path()\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pyomo.environ import *\n", "from pyomo.dae import *\n", "\n", "def tclab_control(h=100):\n", " u = 0\n", " while True:\n", " t_est, Th_est, Ts_est, d_est = yield u\n", " \n", " tf = t_est + h\n", " m = ConcreteModel()\n", " m.t = ContinuousSet(initialize=np.linspace(t, tf, 1 + round((tf-t)/2)))\n", " m.Th = Var(m.t)\n", " m.Ts = Var(m.t)\n", " m.U = Var(m.t, bounds=(0, 100))\n", " m.Thdot = DerivativeVar(m.Th, wrt = m.t)\n", " m.Tsdot = DerivativeVar(m.Ts, wrt = m.t)\n", " m.heater = Constraint(m.t, rule = lambda m, t: \n", " CpH*m.Thdot[t] == Ua*(Tamb - m.Th[t]) + Uc*(m.Ts[t] - m.Th[t]) + P*m.U[t] + d)\n", " m.sensor = Constraint(m.t, rule = lambda m, t: \n", " CpS*m.Tsdot[t] == Uc*(m.Th[t] - m.Ts[t]))\n", " m.Th[t].fix(Th_est)\n", " m.Ts[t].fix(Ts_est)\n", " m.obj = Objective(expr = sum([(tclab_setpoint(t) - m.Th[t])**2 for t in m.t]), sense=minimize)\n", " TransformationFactory('dae.finite_difference').apply_to(m, nfe=len(m.t), method='backwards')\n", " SolverFactory('ipopt', executable=ipopt_executable).solve(m)\n", " \n", " umpc = np.array([m.U[t]() for t in m.t])\n", " plt.plot([t for t in m.t], umpc)\n", " u = umpc[0]\n", "\n", "observer = tclab_observer(3)\n", "observer.send(None)\n", "\n", "controller = tclab_control()\n", "controller.send(None)\n", "\n", "\n", "t_mpc = []\n", "u_mpc = []\n", "Th_mpc = []\n", "Ts_mpc = []\n", "\n", "\n", "for k in range(0, len(t_sim)):\n", " t, Th, Ts, d = observer.send([t_sim[k], u_sim[k], Ts_sim[k]])\n", " u = controller.send([t, Th, Ts, d])\n", " u_mpc.append(u)\n", " Th_mpc.append(Th)\n", " Ts_mpc.append(Ts)\n", " \n", "plt.plot(t_sim, u_mpc)\n", "plt.plot(t_sim, Th_mpc)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.8 MPC Demonstration](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.8-MPC-Demonstration)", "section": "5.1.8 MPC Demonstration" } }, "source": [ "## 5.1.8 MPC Demonstration" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "nbpages": { "level": 2, "link": "[5.1.8 MPC Demonstration](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.8-MPC-Demonstration)", "section": "5.1.8 MPC Demonstration" } }, "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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from tclab import setup, clock, Historian, Plotter\n", "TCLab = setup(connected=False, speedup=20)\n", "\n", "tf = 800 # run time\n", "\n", "# create a controller instance\n", "controller = tclab_control(600)\n", "controller.send(None)\n", "\n", "# create an model estimator\n", "observer = tclab_observer(5)\n", "observer.send(None)\n", "\n", "# execute the event loop\n", "tf = 800\n", "with TCLab() as lab:\n", " h = Historian([('T1', lambda: lab.T1), ('Q1', lab.Q1),\n", " ('Th', lambda: Th), ('Ts', lambda: Ts)])\n", " p = Plotter(h, tf)\n", " U1 = 0\n", " for t in clock(tf, 5): # allow time for more calculations\n", " T1 = lab.T1 # measure the sensor temperature\n", " t, Th, Ts, d = observer.send([t, U1, T1]) # estimate the heater temperature # get setpoint\n", " U1 = controller.send([t, Th, Ts, d]) # compute control action\n", " lab.U1 = U1 # set manipulated variable \n", " p.update(t) # log data" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.9 To be Removed](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.9-To-be-Removed)", "section": "5.1.9 To be Removed" } }, "source": [ "## 5.1.9 To be Removed" ] }, { "cell_type": "code", "execution_count": 190, "metadata": { "nbpages": { "level": 2, "link": "[5.1.9 To be Removed](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.9-To-be-Removed)", "section": "5.1.9 To be Removed" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def tclab_control(t, h, ic, d):\n", " tf = t + h\n", " \n", " m = ConcreteModel()\n", " m.t = ContinuousSet(initialize=np.linspace(t, tf, 1 + round((tf-t)/2)))\n", " m.Th = Var(m.t)\n", " m.Ts = Var(m.t)\n", " m.U = Var(m.t, bounds=(0, 100))\n", " m.Thdot = DerivativeVar(m.Th, wrt = m.t)\n", " m.Tsdot = DerivativeVar(m.Ts, wrt = m.t)\n", " m.heater = Constraint(m.t, rule = lambda m, t: \n", " CpH*m.Thdot[t] == Ua*(Tamb - m.Th[t]) + Uc*(m.Ts[t] - m.Th[t]) + P*m.U[t] + d)\n", " m.sensor = Constraint(m.t, rule = lambda m, t: \n", " CpS*m.Tsdot[t] == Uc*(m.Th[t] - m.Ts[t]))\n", " m.Th[t].fix(ic[0])\n", " m.Ts[t].fix(ic[1])\n", " m.obj = Objective(expr = sum([(tclab_setpoint(t) - m.Th[t])**2 for t in m.t]), sense=minimize)\n", " TransformationFactory('dae.finite_difference').apply_to(m, nfe=len(m.t), method='backwards')\n", " SolverFactory('ipopt', executable=ipopt_executable).solve(m)\n", " tsim = np.array([t for t in m.t])\n", " Thsim = np.array([m.Th[t]() for t in m.t])\n", " Tssim = np.array([m.Ts[t]() for t in m.t])\n", " Usim = np.array([m.U[t]() for t in m.t])\n", " return [tsim, Usim, Thsim, Tssim]\n", " \n", "[tsim, Usim, Thsim, Tssim] = tclab_control(100, 800, [30, 30], .5)\n", " \n", "# visualization\n", "\n", "plt.subplot(2,1,1)\n", "plt.plot(tsim, Thsim, tsim, Tssim)\n", "plt.title('temperatures')\n", "plt.ylabel('deg C')\n", "plt.legend(['T_heater', 'T_sensor'])\n", "plt.grid(True)\n", "\n", "plt.subplot(2,1,2)\n", "plt.plot(tsim, Usim)\n", "plt.title('heater input')\n", "plt.ylabel('percent of max')\n", "plt.grid(True)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[5.1.9 To be Removed](https://jckantor.github.io/CBE32338/05.01-Optimization-Control-and-Estimation-using-Pyomo.html#5.1.9-To-be-Removed)", "section": "5.1.9 To be Removed" } }, "source": [ "\n", "< [5.0 Predictive Control and Real Time Optimization](https://jckantor.github.io/CBE32338/05.00-Predictive-Control-and-Real-Time-Optimization.html) | [Contents](toc.html) | [5.2 Simulation, Control, and Estimation using Pyomo](https://jckantor.github.io/CBE32338/05.02-Optimization-Control-and-Estimation-using-Pyomo-With-Windows-ipopt.html) >

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