diff --git a/docs/src/FOPTD_step_response.png b/docs/src/FOPTD_step_response.png new file mode 100644 index 0000000..d33aa68 Binary files /dev/null and b/docs/src/FOPTD_step_response.png differ diff --git a/docs/src/assets/full_feedback_control_system.tex b/docs/src/assets/full_feedback_control_system.tex new file mode 100644 index 0000000..ad526d1 --- /dev/null +++ b/docs/src/assets/full_feedback_control_system.tex @@ -0,0 +1,64 @@ +\documentclass{standalone} % run wit shell escape + +\usepackage{tikz} +\usetikzlibrary{arrows} +\usepackage{verbatim} + +\usepackage{tikz} +\usepackage{color} +\definecolor{honeydew}{rgb}{0.94, 1.0, 0.94} +\definecolor{ivory}{rgb}{1.0, 1.0, 0.94} + + +\usetikzlibrary{shapes,arrows} +\begin{document} + + +\tikzstyle{block} = [draw, fill=honeydew!70, rectangle, line width=0.5mm, + minimum height=3em, minimum width=5em] +\tikzstyle{sum} = [draw, fill=ivory!20, circle, node distance=1cm, line width=0.5mm] +\tikzstyle{input} = [coordinate] +\tikzstyle{output} = [coordinate] +\tikzstyle{pinstyle} = [pin edge={to-,thick,black}] + +\tikzset{ + circ/.style={draw, circle, fill=ivory!70} +} + + +% The block diagram code is probably more verbose than necessary +\begin{tikzpicture}[auto, node distance=1cm,>=latex'] + \node [block, node distance=1.5cm, label=process] (Gp) {$g_p(s)$}; + \node [block, left of=Gp, node distance=3cm, label=controller] (Gc) {$g_c(s)$}; + \node [circ, , line width=0.5mm, label={[label distance=-4.75mm]270:$-$},label={[label distance=-4.75mm]180:$+$}, minimum size=8mm, left of=Gc, node distance=2.5cm] (comparator) {}; + \node [input, node distance=2cm, left of=comparator] (Ysp) {}; + \node [circ, line width=0.5mm, label={[label distance=-4.75mm]90:$+$},label={[label distance=-4.75mm]180:$+$}, minimum size=8mm, right of=Gp, node distance=2.5cm] (sum) {}; + % \node [sum, right of=process, node distance=2.5cm] (sum) {}; +% \node [block, right of=controller, pin={[pinstyle]above:D}, +% node distance=3cm] (system) {System}; + \node [block, above of=sum, node distance=1.75cm, label={[label distance=0cm]180:process}] (Gd) {$g_d(s)$}; + \node [input, name=DV, above of=Gd, node distance=1.5cm] {}; + \node [output, name=output, right of=sum, node distance=1.5cm] {}; + \node [below of=comparator, node distance=1.5cm] (ptbelow) {}; + \draw [->, line width=0.5mm] (Gc) -- node[name=h] {} (Gp); + \node [block, below of=h, node distance=1.75cm, label=sensor] (Gm) {$g_m(s)$}; + +% \draw [->] (input) -- node[name=u] {$u$} (system); +% \node [output, right of=system] (output) {}; +% +% \draw [draw,->] (input) -- system {$r$} (sum); + + \draw [->, line width=0.5mm] (Gc) -- node {$U(s)$} (Gp); + \draw [->, line width=0.5mm] (Gp) -- node {} (sum); + \draw [->, line width=0.5mm] (Gd) -- node {} (sum); + \draw [->, line width=0.5mm] (sum) -- node[name=y] {$Y(s)$} (output); + \draw [->, line width=0.5mm] (DV) -- node {$D(s)$} (Gd); + \draw [->, line width=0.5mm] (comparator) -- node {$E(s)$} (Gc); + \draw [->, line width=0.5mm] (Ysp) -- node {$Y_{sp}(s)$} (comparator); + \draw [->, line width=0.5mm] (y) |- (Gm); + \draw [->, line width=0.5mm] (Gm) -| node {$Y_m(s)$} (comparator); + +% \draw [->] (system) -- node [name=y] {$y$}(output); +\end{tikzpicture} + +\end{document} diff --git a/docs/src/assets/pdf_to_trim_png.sh b/docs/src/assets/pdf_to_trim_png.sh index 8c9ec5c..33c4041 100755 --- a/docs/src/assets/pdf_to_trim_png.sh +++ b/docs/src/assets/pdf_to_trim_png.sh @@ -1,2 +1,3 @@ -convert -density 300 simple_servo.pdf simple_servo.png -convert simple_servo.png -trim simple_servo.png +muhfile="full_feedback_control_system" +convert -density 300 $muhfile.pdf $muhfile.png +convert $muhfile.png -trim $muhfile.png diff --git a/docs/src/controls.md b/docs/src/controls.md index 3049616..fcc568a 100644 --- a/docs/src/controls.md +++ b/docs/src/controls.md @@ -2,27 +2,33 @@ we build upon `simulate` to simulate feedback and feedforward control systems. -## PI, PID controller transfer functions +## P, PI, PID controller transfer functions -we express PID controller transfer functionas in the form: +we express PID controller transfer functions in the form: -$$g_c(s)=K_c \bigl[1+\frac{\tau_I}{s}+\tau_D s \frac{1}{\tau_D \alpha s + 1}\bigr]$$ +$$g_c(s)=K_c \bigl[1+\frac{1}{\tau_I}+\tau_D s \frac{1}{\tau_D \alpha s + 1}\bigr]$$ where $\alpha$ characterizes the derivative filter. this controller function function governs the controller output in response to the input error signal. -To facilitate constructing PID controller transfer functions: +To construct P, PI, or PID controllers: ```julia Kc = 2.0 # controller gain +pc = PController(Kc) # P-controller with given Kc + τI = 1.0 # integral time constant -gc = PI(Kc, τI) # PI-controller transfer function +pic = PIController(Kc, τI) # PI-controller with given Kc, τI τD = 0.1 # derivative time constant -gc = PID(Kc, τI, τD, α=0.0) # PID-controller transfer function with derivative filter α +pidc = PIDController(Kc, τI, τD, α=0.0) # PID-controller with given Kc, τI, τD. keyword argument is derivative filter α ``` +to construct controller transfer functions $g_c(s)$ from the P, PI, or PID controller parameters: -and take an error signal as input and output the controller output (affecting the manipulated variable). +```julia +pic = PIController(2.0, 1.0) +gc = TransferFunction(pic) # (2s+2) / s +``` ## servo response of a simple control system @@ -33,7 +39,8 @@ with block diagram algebra, we can use [`simulate`](@ref) to simulate a control as an example, we specify $g_c(s)$ as a PI controller and $g_p(s)$ as a first-order system. the latter describes how the process responds to inputs. the input to the process here is provided by the controller. ```julia -gc = PI(1.0, 1.0) # controller transfer function +pic = PIController(1.0, 1.0) +gc = TransferFunction(pic) # controller transfer function gp = 3 / (4 * s + 1) # process transfer function ``` @@ -74,8 +81,17 @@ finally, we can plot `y`, `ysp`, and `u` against `t` to visualize the response o ![](simple_servo_response.png) +also plotted separately is the contribution of the controller output by the P- and I- components of the PI controller, obtained via: +```julia +U_Paction = Kc * E # P-action +U_Iaction = Kc * τI / s * E # I-action + +t, u_Paction = simulate(U_Paction, final_time) +t, u_Iaction = simulate(U_Iaction, final_time) +``` ```@docs - PID - PI + PController + PIController + PIDController ``` diff --git a/docs/src/sim.md b/docs/src/sim.md index f1c2330..29a6865 100644 --- a/docs/src/sim.md +++ b/docs/src/sim.md @@ -19,6 +19,10 @@ t, y = simulate(Y, 50.0) # simulate until t = 50 we can then plot the `y` array versus the `t` array: +```julia +viz_response(t, y, plot_title="SO underdamped step response") +``` + ![](SO_underdamped_step_response.png) ## response of a first-order plus time delay system to a unit step input @@ -33,6 +37,8 @@ U = 1 / s # step input Y = g * U t, y = simulate(Y, 15.0) # simulate until t = 15 + +viz_response(t, y, plot_title="FOPTD step response") ``` ![](FOPTD_step_response.png) @@ -48,7 +54,10 @@ we can numerically invert $\dfrac{s^2-a^2}{(s^2+a^2)^2}$ as follows: ```julia a = π U = (s^2 - a^2) / (s^2 + a^2) ^ 2 + t, u = simulate(U, 8.0, nb_time_points=300) # simulate until t=8, use 300 time points for high resolution + +viz_response(t, u, plot_title=L"inverting an input $U(s)$", plot_ylabel=L"$u(t)$") ``` the `nb_time_points` argument gives a `t` array with higher resolution for plotting the response. diff --git a/docs/src/simple_servo_response.png b/docs/src/simple_servo_response.png new file mode 100644 index 0000000..3c5c3d6 Binary files /dev/null and b/docs/src/simple_servo_response.png differ diff --git a/docs/src/tcosat.png b/docs/src/tcosat.png new file mode 100644 index 0000000..9f98cf1 Binary files /dev/null and b/docs/src/tcosat.png differ diff --git a/examples/examples.ipynb b/examples/examples.ipynb index b605e0c..52fa21f 100644 --- a/examples/examples.ipynb +++ b/examples/examples.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 7, + "execution_count": 32, "metadata": {}, "outputs": [], "source": [ @@ -18,6 +18,29 @@ "PyPlot.matplotlib.style.use(normpath(joinpath(pathof(Controlz), \"..\", \"hipster.mplstyle\")))" ] }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\u001b[32m\u001b[1mTest Passed\u001b[22m\u001b[39m" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "@test isapprox(TransferFunction(PIController(1.3, 2.0)), 1.3 * (1+1/(2*s)))\n", + "@test isapprox(TransferFunction(PIDController(1.3, 2.0, 0.0)), 1.3 * (1+1/(2*s)))\n", + "@test isapprox(TransferFunction(PIDController(1.3, 2.0, 0.1)), 1.3 * (1+1/(2*s) + 0.1*s))\n", + "# @test isapprox(TransferFunction(PIDController(1.3, 1e25, 0.0)), TransferFunction(PController(1.3)))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -31,21 +54,19 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "\n", - " 2.0\n", - "----------- e^(-1.5*s)\n", - "4.0*s + 1.0" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: s not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[7]:4" + ] } ], "source": [ @@ -57,20 +78,21 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "Figure(PyObject
)" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: s not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[8]:1" + ] } ], "source": [ @@ -96,18 +118,19 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "Figure(PyObject
)" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: s not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[9]:1" + ] } ], "source": [ @@ -131,20 +154,21 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "Figure(PyObject
)" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: s not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[10]:2" + ] } ], "source": [ @@ -152,7 +176,7 @@ "U = (s^2 - a^2) / (s^2 + a^2) ^ 2\n", "t, u = simulate(U, 8.0, nb_time_points=300)\n", "\n", - "viz_response(t, u, plot_title=L\"inverting an input $U(s)$\")\n", + "viz_response(t, u, plot_title=L\"inverting an input $U(s)$\", plot_ylabel=L\"$u(t)$\")\n", "savefig(\"../docs/src/tcosat.png\", format=\"png\")" ] }, @@ -162,31 +186,91 @@ "source": [ "## servo response of a control system\n", "\n", - "![](../docs/src/assets/simple_servo.png)" + "![](simple_servo.png)" ] }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "mutable struct PIDparams\n", + " Kc::Float64\n", + " τI::Float64\n", + " τD::Float64\n", + " α::Float64\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 12, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "gc = \n", - "1.0*s + 1.0\n", - "-----------\n", - " 1.0*s\n", - "gp = \n", - " 3.0\n", - "-----------\n", - "4.0*s + 1.0\n" + "ename": "UndefVarError", + "evalue": "UndefVarError: PIController not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: PIController not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[12]:1" ] - }, + } + ], + "source": [ + "function Base.show(io::IO, picontroller::PIController)\n", + " println(io, \"PI controller\")\n", + " println(io, \"\\tKc = \", picontroller.Kc)\n", + " println(io, \"\\tτI = \", picontroller.τI)\n", + "end\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "function Base.show(io::IO, pid_params::PIDparams)\n", + " println(io, \"\\nPID controller parameters\")\n", + " println(io, \"\\tKc = \", pid_params.Kc)\n", + " println(io, \"\\tτI = \", pid_params.τI)\n", + " println(io, \"\\tτD = \", pid_params.τD)\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "ename": "MethodError", + "evalue": "MethodError: no method matching PIDparams(::Float64, ::Float64, ::Float64)\nClosest candidates are:\n PIDparams(::Float64, ::Float64, ::Float64, !Matched::Float64) at In[11]:2\n PIDparams(::Any, ::Any, ::Any, !Matched::Any) at In[11]:2", + "output_type": "error", + "traceback": [ + "MethodError: no method matching PIDparams(::Float64, ::Float64, ::Float64)\nClosest candidates are:\n PIDparams(::Float64, ::Float64, ::Float64, !Matched::Float64) at In[11]:2\n PIDparams(::Any, ::Any, ::Any, !Matched::Any) at In[11]:2", + "", + "Stacktrace:", + " [1] top-level scope at In[14]:1" + ] + } + ], + "source": [ + "pid = PIDparams(1.0, 1.0, 0.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ { "data": { - "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] @@ -198,6 +282,14 @@ "name": "stdout", "output_type": "stream", "text": [ + "gc = \n", + "1.0*s + 1.0\n", + "-----------\n", + " 1.0*s\n", + "gp = \n", + " 3.0\n", + "-----------\n", + "4.0*s + 1.0\n", "Y_sp = \n", " 1\n", "-----\n", @@ -206,7 +298,10 @@ } ], "source": [ - "gc = PI(1.0, 1.0) # controller transfer function\n", + "Kc = 1.0\n", + "τI = 1.0\n", + "pic = PIController(1.0, 1.0) \n", + "gc = TransferFunction(pic) # controller transfer functio\n", "@show gc\n", "\n", "gp = 3 / (4 * s + 1) # process transfer function\n", @@ -225,41 +320,67 @@ "\n", "U = gc * E # resulting controller output\n", "\n", + "# break output into P-action, I-action\n", + "U_Paction = Kc * E\n", + "U_Iaction = Kc * τI / s * E\n", + "\n", "# simulate for y, u, ysp in the time domain\n", "final_time = 12.0\n", "t, y = simulate(Y, final_time)\n", "t, u = simulate(U, final_time)\n", "t, ysp = simulate(Y_sp, final_time)\n", + "t, u_Paction = simulate(U_Paction, final_time)\n", + "t, u_Iaction = simulate(U_Iaction, final_time)\n", "\n", "fig, ax = subplots(2, 1, sharex=true, figsize=(6, 8))\n", "xlabel(L\"time, $t$\")\n", "\n", "ax[1].plot(t, y, label=L\"response $y(t)$\")\n", - "ax[1].plot(t, ysp, linestyle=\"--\", lw=2, label=L\"set point $y_{sp}(t)$\")\n", + "ax[1].plot(t, ysp, linestyle=\"--\", label=L\"set point $y_{sp}(t)$\")\n", "ax[1].legend()\n", "ax[1].set_ylabel(L\"system output $y(t)$\")\n", "\n", - "ax[2].plot(t, u, color=\"C2\")\n", + "ax[2].plot(t, u, color=\"C2\", label=\"total\")\n", + "ax[2].plot(t, u_Paction, color=\"C3\", linestyle=\"--\", label=\"P-action\", lw=2)\n", + "ax[2].plot(t, u_Iaction, color=\"C4\", linestyle=\"-.\", label=\"I-action\", lw=2)\n", + "ax[2].legend()\n", "ax[2].set_ylabel(L\"controller output $u(t)$\")\n", "tight_layout()\n", "\n", "savefig(\"../docs/src/simple_servo_response.png\", format=\"png\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## a full feedback control system\n", + "\n", + "![](full_feedback_control_system.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## viz poles and zeros of a transfer function" + ] + }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 16, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "Figure(PyObject
)" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: s not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[16]:1" + ] } ], "source": [ @@ -269,19 +390,29 @@ ] }, { - "cell_type": "code", - "execution_count": 20, + "cell_type": "markdown", "metadata": {}, + "source": [ + "## Nyquist diagram" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "scrolled": false + }, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "Figure(PyObject
)" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: s not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[17]:1" + ] } ], "source": [ @@ -290,20 +421,28 @@ "savefig(\"../docs/src/example_nyquist.png\", format=\"png\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## root locus diagram" + ] + }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 18, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "Figure(PyObject
)" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: s not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[18]:1" + ] } ], "source": [ @@ -313,20 +452,28 @@ "savefig(\"../docs/src/example_root_locus.png\", format=\"png\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bode plot" + ] + }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 19, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "Figure(PyObject
)" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", + "output_type": "error", + "traceback": [ + "UndefVarError: s not defined", + "", + "Stacktrace:", + " [1] top-level scope at In[19]:1" + ] } ], "source": [ @@ -338,22 +485,18 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 20, "metadata": {}, "outputs": [ { - "ename": "ErrorException", - "evalue": "cannot add two transfer functions that have different time delays", + "ename": "UndefVarError", + "evalue": "UndefVarError: s not defined", "output_type": "error", "traceback": [ - "cannot add two transfer functions that have different time delays", + "UndefVarError: s not defined", "", "Stacktrace:", - " [1] error(::String) at ./error.jl:33", - " [2] +(::TransferFunction, ::TransferFunction) at /home/cokes/Controlz.jl/src/tf.jl:82", - " [3] +(::TransferFunction, ::Int64) at /home/cokes/Controlz.jl/src/tf.jl:89", - " [4] -(::Int64, ::TransferFunction) at /home/cokes/Controlz.jl/src/tf.jl:92", - " [5] top-level scope at In[23]:4" + " [1] top-level scope at In[20]:4" ] } ], diff --git a/src/Controlz.jl b/src/Controlz.jl index 8c87668..59e1d80 100644 --- a/src/Controlz.jl +++ b/src/Controlz.jl @@ -9,10 +9,10 @@ PyPlot.matplotlib.style.use(normpath(joinpath(pathof(Controlz), "..", "hipster.m include("tf.jl") include("systems.jl") -include("show.jl") include("sim.jl") include("viz.jl") include("controls.jl") +include("show.jl") export # tf.jl @@ -25,5 +25,5 @@ export # viz.jl viz_response, viz_poles_and_zeros, nyquist_diagram, root_locus, bode_plot, # controlz.jl - PI, PID + PController, PIController, PIDController end diff --git a/src/controls.jl b/src/controls.jl index 749a464..a570fb6 100644 --- a/src/controls.jl +++ b/src/controls.jl @@ -1,35 +1,75 @@ @doc raw""" - gc = PID(Kc, τI, τD, α=0.0) + pc = PController(Kc) -Construct Proportional-Integral-Derivative (PID) controller transfer function, $g_c(s)$. +Construct a Proportional (P) controller by specifying the controller gain defined under the following transfer function representation: -$$g_c(s)=K_c \bigl[1+\frac{\tau_I}{s}+\tau_D s \frac{1}{\alpha \tau_D s + 1}\bigr]$$ +$$g_c(s)=K_c$$ + +# Arguments +* `Kc::Float64`: controller gain + +# Example +```julia +pc = PController(1.0) # specify P controller gain +gc = TransferFunction(pc) # construct transfer function with this P-controller gain +``` +""" +mutable struct PController + Kc::Float64 +end + +TransferFunction(pc::PController) = TransferFunction([pc.Kc], [1.0]) + +@doc raw""" + pic = PIController(Kc, τI) + +Construct a Proportional-Integral (PI) controller by specifying the controller gain and integral time constant defined under the following transfer function representation: + +$$g_c(s)=K_c \bigl[1+\frac{1}{\tau_I s}\bigr]$$ # Arguments * `Kc::Float64`: controller gain * `τI::Float64`: integral time constant -* `τD::Float64`: derivative time constant -* `α::Float64`: derivative filter -# Returns -PID controller transfer function `gc::TransferFunction` that takes error signal as input and outputs the manipulated variable. +# Example +```julia +pic = PIController(1.0, 3.0) # specify PI controller params +gc = TransferFunction(pic) # construct transfer function with these PI-controller params +``` """ -function PID(Kc::Float64, τI::Float64, τD::Float64; α::Float64=0.0) - return Kc * (1 + τI / s + τD * s / (α * τD * s + 1)) +mutable struct PIController + Kc::Float64 + τI::Float64 +end + +TransferFunction(pic::PIController) = pic.Kc * (1 + 1 / (pic.τI * s)) + +mutable struct PIDController + Kc::Float64 + τI::Float64 + τD::Float64 + α::Float64 end @doc raw""" - gc = PI(Kc, τI) + pidc = PIDController(Kc, τI, τD, α=0.0) -Construct Proportional-Integral (PI) controller transfer function, $g_c(s)$. +Construct a Proportional-Integral-Derivative (PID) controller by specifying the controller gain, integral time constant, derivative time constant, and derivative filter defined under the following transfer function representation: -$$g_c(s)=K_c \bigl[1+\frac{\tau_I}{s}\bigr]$$ +$$g_c(s)=K_c \bigl[1+\frac{1}{\tau_I s}+\tau_D s \frac{1}{\alpha \tau_D s + 1}\bigr]$$ # Arguments * `Kc::Float64`: controller gain * `τI::Float64`: integral time constant +* `τD::Float64`: derivative time constant +* `α::Float64`: derivative filter -# Returns -PI controller transfer function `gc::TransferFunction` that takes error signal as input and outputs the manipulated variable. +# Example +```julia +pidc = PIDController(1.0, 3.0, 0.1) # specify PID controller params +gc = TransferFunction(pidc) # construct transfer function with these PID-controller params +``` """ -PI(Kc::Float64, τI::Float64) = Kc * (1 + τI / s) +PIDController(Kc::Float64, τI::Float64, τD::Float64; α::Float64=0.0) = PIDController(Kc, τI, τD, α) + +TransferFunction(pidc::PIDController) = pidc.Kc * (1 + 1.0 / (pidc.τI * s) + pidc.τD * s / (pidc.α * pidc.τD * s + 1)) diff --git a/src/hipster.mplstyle b/src/hipster.mplstyle index 7126718..c5bf826 100644 --- a/src/hipster.mplstyle +++ b/src/hipster.mplstyle @@ -8,4 +8,4 @@ text.color : (0.3, 0.3, 0.3) axes.labelcolor : (0.3, 0.3, 0.3) xtick.color : (0.3, 0.3, 0.3) ytick.color : (0.3, 0.3, 0.3) -axes.prop_cycle : cycler('color', [(0.2, 0.8, 0.2), (0.12, 0.56, 1.0), (0.9765625, 0.5, 0.4453125), (0.57421875, 0.4375, 0.85546875)]) +axes.prop_cycle : cycler('color', [(0.2, 0.8, 0.2), (0.12, 0.56, 1.0), (0.9765625, 0.5, 0.4453125), (0.57421875, 0.4375, 0.85546875), (0.64, 0.64, 0.64)]) diff --git a/src/show.jl b/src/show.jl index 62f7199..f5b1674 100644 --- a/src/show.jl +++ b/src/show.jl @@ -52,3 +52,22 @@ function Base.show(io::IO, tf::TransferFunction) print(io, bottom) return nothing end + +function Base.show(io::IO, pc::PController) + println(io, "P controller") + println(io, "\tcontroller gain Kc = ", pc.Kc) +end + +function Base.show(io::IO, pic::PIController) + println(io, "PI controller") + println(io, "\tcontroller gain Kc = ", pic.Kc) + println(io, "\tintegral time constant τI = ", pic.τI) +end + +function Base.show(io::IO, pidc::PIDController) + println(io, "PID controller") + println(io, "\tcontroller gain Kc = ", pidc.Kc) + println(io, "\tintegral time constant τI = ", pidc.τI) + println(io, "\tderivative time constant τD = ", pidc.τD) + println(io, "\tderivative filter α = ", pidc.α) +end diff --git a/test/runtests.jl b/test/runtests.jl index 338bd8d..0c55909 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -358,3 +358,9 @@ end y_truth[t .< 0.0] .= 0.0 @test isapprox(y_truth, y, rtol=0.001) end + +@testset "testing Controls" begin + @test isapprox(TransferFunction(PIController(1.3, 2.0)), 1.3 * (1+1/(2*s))) + @test isapprox(TransferFunction(PIDController(1.3, 2.0, 0.0)), 1.3 * (1+1/(2*s))) + @test isapprox(TransferFunction(PIDController(1.3, 2.0, 0.1)), 1.3 * (1+1/(2*s) + 0.1*s)) +end