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</style></head><body><div class = "content"><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S3">Práctica 3: Diseño e implementación de Controladores PID</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Las prácticas de la asignatura control por computador consisten en el estudio de un servomecanismo de posicionamiento angular (LJ Technical Systems) controlado por un PC. Las sesiones de laboratorio P1 y P2 se centran en el análisis experimental de las respuestas temporal y frecuencial del sistema respectivamente. Las sesiones P3 y P4 se dedican al diseño de controladores PID. Por último, en la práctica P5 se diseñarán controladores en campo frecuencial.</span></span></div><div class = "S4"><span class = "S2"><span class="S3">OBJETIVO: Diseñar un controlador PI de velocidad de salida para que el sistema de lazo cerrado tenga un error estacionario nulo. Diseñar un controlador PID de la posición del eje de salida para la planta estudiada en las sesiones anteriores para que el sistema en lazo cerrado cumpla unas ciertas especificaciones.</span></span></div><div class = "S4"><span class = "S2"><span class="S3">En esta sesión el estudiante ha de:</span></span></div><ul class = "S5"><li class = "S6"><span class = "S0"><span class="S3">Diseñar un PI y un PID por asignación de polos.</span></span></li><li class = "S6"><span class = "S0"><span class="S3">Verificar experimentalmente los sistemas de control diseñados.</span></span></li></ul><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Alternar entre los datos del experimento y los del directorio Resultados</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Si desea usar los datos del directorio Resultados = false</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Si desea usar datos propios = true</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">useExperimentalData = </span></span><span>false</span><span class = "S9"><span class="S0">;</span></span></div></div></div></div><div class = "S0"></div><div class = 'SectionBlock containment active'><h1 class = "S1"><span class = "S2"><span class="S0">Ejercicio 11: Diseño e implementación de un PI por asignación de polos.</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Diseñar un PI de control de velocidad que haga que la respuesta temporal a una entrada escalón no presente sobreimpulsos y que el tiempo de establecimiento (con el criterio del 2%) sea de 0.8 segundos. Para la simulación del controlador PI digital, abrir y ejecutar el modelo P3_Ex11a.slx. Para su comprobación con el motor, abrir y ejecutar el modelo P3_Ex11b.slx.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Planta</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">K0=0.82;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">tau0=0.26;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Periodo de muestreo</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ts=0.01;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Especificaciones</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xi=1;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">ts_2=0.8; </span><span class="S10">% tiempo de establecimiento con el criterio de 2%</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Tdes=ts_2/4;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wn=5.8/(xi*ts_2);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Diseño del controlador</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Zdes=exp(-Ts/Tdes);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">alpha=exp(-Ts/tau0);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">beta=-2*exp(-Ts*xi*wn)*cos(wn*Ts*sqrt(1-xi^2));</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">gamma=exp(-2*Ts*xi*wn);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ki_star=(gamma-alpha+beta+(alpha+1))/(2*K0*(1-alpha));</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ki</span><span class="S0">=(2/Ts)*Ki_star;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kp</span><span class="S0">=((beta+alpha+1)/(K0*(1-alpha)))-Ki_star;</span></span></div></div></div><div class = "S12"><span class = "S2"><span class="S0">Para diseñar el controlador, se han seguido los siguientes pasos. Primeramente, se ha digitalizado la planta con un mantenedor de orden cero y se ha escogido un controlador PI discretizado mediante la aproximación trapezoidal.</span></span></div><div class = "S4"><span style="vertical-align:-15px"><img 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" 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" width="454.5" height="37" /></span></div><div class = "S4"><span class = "S2"><span class="S0"></span></span></div><div class = "S4"><span class = "S2"><span class="S0">Con lo cual la función de transferencia del lazo cerrado:</span></span></div><div class = "S4"><span style="vertical-align:-43px"><img src="data:image/png;base64,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" width="463" height="82" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Igualando la ecuación caracteristica real, con la ideal, podremos sintonizar nuestros parámetros.</span></span></div><div class = "S4"><span style="vertical-align:-21px"><img 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" width="475.5" height="50" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Con lo cual, las ecuaciones de sintonía serían:</span></span></div><div class = "S4"><span style="vertical-align:-43px"><img src="data:image/png;base64,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" width="515.5" height="94.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Las respuestas ideal y real se pueden observar en la siguiente imagen.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Dibujar la respuesta del motor</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">if </span><span class="S0">useExperimentalData</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span><span class="S10">% Usar Simulink</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> addpath</span><span class="S0">(</span><span class="S0">[pwd filesep </span><span class="S14">'PIvel'</span><span class="S0">]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> open </span><span class="S14">PI_experimental.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> run </span><span class="S14">PI_experimental.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">else</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FileName = </span><span class="S14">'PI_real_experimental.mat'</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> cd(</span><span class="S14">'..'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FolderName = [pwd filesep </span><span class="S14">'Common' </span><span class="S0">filesep </span><span class="S14">'Resultados' </span><span class="S0">filesep </span><span class="S14">'Prac3'</span><span class="S0">];</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> File = fullfile(FolderName, FileName);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> load(File); </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">end</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(PI_real_experimental.time,</span><span class="S0">[</span><span class="S0">PI_real_experimental.signals.values(:,1,:)],</span><span class="S14">'r'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">hold </span><span class="S14">on</span><span class="S0">; grid </span><span class="S14">on</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(PI_real_experimental.time,</span><span class="S0">[</span><span class="S0">PI_real_experimental.signals.values(:,2,:)],</span><span class="S14">'b'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(PI_real_experimental.time,</span><span class="S0">[</span><span class="S0">PI_real_experimental.signals.values(:,3,:)],</span><span class="S14">'g'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlim([18 60]); ylim([-2.3 2.3]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlabel(</span><span class="S14">'Tiempo (s)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">ylabel(</span><span class="S14">'Voltaje (V)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">title(</span><span class="S14">'Vin y salida real e ideal'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">legend(</span><span class="S14">'Vin'</span><span class="S0">,</span><span class="S14">'Respuesta Real'</span><span class="S0">,</span><span class="S14">'Respuesta Ideal'</span><span 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" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class = "S12"><span class = "S2"><span class="S0">Como se puede analizar, las dos respuestas son prácticamente iguales, pero si analizamos las especificaciones deseadas, podemos observar que estas no se cumplen. Esto ocurre porque el controlador PI junto con una planta de primer orden tienen como respuesta un sistema con dos polos y un cero. Este último, tiene un efecto negativo en la dinámica del sistema, normalmente haciéndola un poco más rápida de lo deseado, es por eso, que en este caso obtenemos un pequeño sobreimpulso. En la siguiente práctica se analizará como eliminar este efecto.</span></span></div></div><div class = "S0"></div><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S0">Ejercicio 12: Diseño e implementación de un PID por asignación de polos.</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Diseñar un PID de control de posición que haga que la respuesta temporal a una entrada escalón presente un sobreimpulso del 80% y una frecuencia de las oscilaciones de 0,5 Hz.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">Para conseguirlo calcule el valor de los dos polos dominantes que cumplen con estas especificaciones y considere un tercer polo en 0,01. Toma el periodo de muestreo Ts igual a 0,01s. Determinar el valor de </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15.5" height="19.5" /></span><span class = "S2"><span class="S0">,</span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15.5" height="19.5" /></span><span class = "S2"><span class="S0"> y </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15" height="19.5" /></span><span class = "S2"><span class="S0"> y del 4º polo. Verificar si se cumple la hipótesis de polos dominantes. </span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Parámetros de la planta </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">K0=0.82/0.017;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">tau0=0.26;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">N=9;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kpot=1.62;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Periodo de muestreo</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ts=0.01;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Especificaciones de control deseadas</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Sp=80; </span><span class="S10">% sobreimpulso</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Fd=0.5; </span><span class="S10">% frecuencia</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Polos de segundo orden continuo que cumpliran las especificaciones</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wd=2*pi*Fd ;</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xi=sqrt((log(Sp/100))^2/(pi^2+log(Sp/100)^2))</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="B961D09A" data-testid="output_1" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">xi = 0.0709</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wn=wd/ sqrt(1-xi^2)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="9B8C2E40" data-testid="output_2" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">wn = 3.1495</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">s1=-xi*wn+</span><span class="S0">j</span><span class="S0">*wd</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="E5642D23" data-testid="output_3" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">s1 = -0.2231 + 3.1416i</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">s2=-xi*wn-</span><span class="S0">j</span><span class="S0">*wd</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="EE5E1D72" data-testid="output_4" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">s2 = -0.2231 - 3.1416i</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Polos de segundo orden discreto que cumpliran las especificaciones</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">p1=exp(Ts* s1 )</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="9A179A4A" data-testid="output_5" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">p1 = 0.9973 + 0.0313i</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">p2=exp(Ts* s2 )</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="0E129657" data-testid="output_6" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">p2 = 0.9973 - 0.0313i</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Insertar el tercer polo</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">p3=0.01</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="FD7ED811" data-testid="output_7" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">p3 = 0.0100</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Función de transferencia discreta de la planta </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ptas=tf(</span><span class="S0">[</span><span class="S0">K0*(1/N)*Kpot],[tau0,1,0]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ptaz=c2d(Ptas,Ts,</span><span class="S14">'zoh'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Coeficientes del denominador y enumerador </span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">[Nz ,Dz]= tfdata(Ptaz,</span><span class="S14">'v'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableMatrixElement" uid="D7A73A92" data-testid="output_8" data-width="901" style="width: 931px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableMatrixElement" uid="D7A73A92" data-testid="output_8" data-width="901" style="width: 931px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="matrixElement veSpecifier saveLoad" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="veVariableName variableNameElement double" style="width: 901px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><span style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Nz = </span><span class="veVariableValueSummary veMetaSummary" style="white-space: normal; font-style: normal; color: rgb(179, 179, 179); font-size: 12px;">1×3</span></div><div class="valueContainer" data-layout="{"columnWidth":"66","totalColumns":"3","totalRows":"1","charsPerColumn":10}" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableValue" style="width: 200px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"> 0 0.0016 0.0016<br></div><div class="horizontalEllipsis hide" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div><div class="verticalEllipsis hide" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableMatrixElement" uid="A569B9C0" data-testid="output_9" data-width="901" style="width: 931px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableMatrixElement" uid="A569B9C0" data-testid="output_9" data-width="901" style="width: 931px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="matrixElement veSpecifier saveLoad" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="veVariableName variableNameElement double" style="width: 901px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><span style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Dz = </span><span class="veVariableValueSummary veMetaSummary" style="white-space: normal; font-style: normal; color: rgb(179, 179, 179); font-size: 12px;">1×3</span></div><div class="valueContainer" data-layout="{"columnWidth":"66","totalColumns":"3","totalRows":"1","charsPerColumn":10}" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableValue" style="width: 200px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"> 1.0000 -1.9623 0.9623<br></div><div class="horizontalEllipsis hide" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div><div class="verticalEllipsis hide" style="white-space: nowrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">a1=Nz(2);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">a0=Nz(3);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">b1=Dz(2);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">b0=Dz(3);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Definiciones de las matrices A y B</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">A=[-1 -a1 -a1 -a1 ; p2+p3+p1 a1-a0 -a1-a0 -a0+2*a1 ; </span><span class="S13">...</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> -p1*p2-p3*p1-p2*p3 a0 -a0 2*a0-a1 ; p1*p2*p3 0 0 -a0 ] ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">b=[p1+p2+p3-1+b1 ; -p1*p2-p3*p1-p3*p2+b0-b1 ; p1*p2*p3-b0 ; 0 ] ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Controlador </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">x=</span><span class="S0">inv</span><span class="S0">(A)*b ; </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">p4=x(1)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="F4EED7BD" data-testid="output_10" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">p4 = 0.9475</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kp=x(2)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="6C85E8E6" data-testid="output_11" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Kp = 0.3698</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ki=(2/Ts)*x(3)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="BCC91B26" data-testid="output_12" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Ki = 1.5691</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kd=Ts*x(4)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="BCC40494" data-testid="output_13" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Kd = 0.0580</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Anti-wind-up</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">pawd=0.2;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kaw=1/Ki;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Calculo de dominancia de los polos</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">dominancia=log(abs(p4))/log(abs(p1))</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="12986C2A" data-testid="output_14" style="width: 931px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">dominancia = 24.1515</div></div></div></div></div><div class = "S12"><span class = "S2"><span class="S0">La función de transferencia del PID tiene la siguiente forma:</span></span></div><div class = "S4"><span style="vertical-align:-17px"><img src="data:image/png;base64,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" 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" width="267" height="38" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Con lo cual la función de transferencia de lazo cerrado toma la forma:</span></span></div><div class = "S4"><span style="vertical-align:-15px"><img src="data:image/png;base64,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" width="210.5" height="34" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Se puede comprobar fácilmente que el denominador es:</span></span></div><div class = "S4"><span style="vertical-align:-19px"><img src="data:image/png;base64,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" width="642.5" height="46.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">El polinomio es de orden cuatro, con lo cual tendrá cuatro polos y la ecuación característica será:</span></span></div><div class = "S4"><span style="vertical-align:-30px"><img src="data:image/png;base64,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" width="426" height="67.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Como es un sistema de cuarto orden y tres incógnitas, no se podrán fijar todos los polos y quedando uno de ellos libre (</span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15.5" height="19.5" /></span><span class = "S2"><span class="S0">). La metodología será aceptable y adecuada si el polo libre es estable y no dominante.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">Igualando los coeficientes y representándolo en forma matricial, el sistema en lazo cerrado seria:</span></span></div><div class = "S4"><span style="vertical-align:-43px"><img src="data:image/png;base64,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" width="582.5" height="96" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Este sistema lineal es fácilmente soluble utilizando MATLAB. La ecuación es </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="50" height="18" /></span><span class = "S2"><span class="S0">, donde </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">A</span><span class = "S2"><span class="S0"> es una matriz </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="31.5" height="18" /></span><span class = "S2"><span class="S0"> y </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">b</span><span class = "S2"><span class="S0"> es un vector columna con </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">n</span><span class = "S2"><span class="S0"> elementos, entonces, </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="88.5" height="18" /></span><span class = "S2"><span class="S0">.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Dibujar la respuesta del motor</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">if </span><span class="S0">useExperimentalData</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span><span class="S10">% Usar Simulink</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> addpath</span><span class="S0">(</span><span class="S0">[pwd filesep </span><span class="S14">'PIvel'</span><span class="S0">]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> open </span><span class="S14">PID_experimental.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> run </span><span class="S14">PID_experimental.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">else</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FileName = </span><span class="S14">'PID_real_ideal.mat'</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FolderName = [pwd filesep </span><span class="S14">'Common' </span><span class="S0">filesep </span><span class="S14">'Resultados' </span><span class="S0">filesep </span><span class="S14">'Prac3'</span><span class="S0">];</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> File = fullfile(FolderName, FileName);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> load(File); </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S13">end</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(PID_real_ideal.time,</span><span class="S0">[</span><span class="S0">PID_real_ideal.signals.values(:,1,:)],</span><span class="S14">'r'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">hold </span><span class="S14">on</span><span class="S0">; grid </span><span class="S14">on</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(PID_real_ideal.time,</span><span class="S0">[</span><span class="S0">PID_real_ideal.signals.values(:,2,:)],</span><span class="S14">'b'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(PID_real_ideal.time,</span><span class="S0">[</span><span class="S0">PID_real_ideal.signals.values(:,3,:)],</span><span class="S14">'g'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlim([30 60]); ylim([-6.5 6.5]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlabel(</span><span class="S14">'Tiempo (s)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">ylabel(</span><span class="S14">'Voltaje (V)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">title(</span><span class="S14">'Vin y salida real e ideal'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">legend(</span><span class="S14">'Vin'</span><span class="S0">,</span><span class="S14">'Respuesta Real'</span><span class="S0">,</span><span class="S14">'Respuesta Ideal'</span><span class="S0">);</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="493B4948" data-testid="output_15" style="width: 931px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="figureElement" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><img class="figureImage figureContainingNode" 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" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class = "S12"><span class = "S2"><span class="S0">Como se puede observar, aunque el controlador sea capaz de establecer el sistema, las respuestas real e ideal no son parecidas. Esto ocurre porque uno de los polos se ha fijado libremente y aunque cumpla la metodología de ser libre y no dominante, esta afecta al sistema. Además de esto, el controlador añade dos ceros, los cuales también afectan a la dinámica del sistema. Junto a todo esto hay que añadir el efecto de que algunas dinámicas no han sido modeladas.</span></span></div></div><div class = "S0"></div><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S0">Ejercicio 13: Diseñar los mismos controladores pero con el bloque PID de Simulink.</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Saber cómo se diseñan y diseñar controladores PID es muy importante, ya que seremos capaces de realizar un lazo de control para cualquier sistema. Pero además de esto, tenemos que saber que MATLAB/Simulink ofrecen herramientas que simplifican nuestro trabajo. Por ejemplo, con la herramienta "</span></span><span class = "S2"><span class="S16">pidTuner</span></span><span class = "S2"><span class="S0">" podemos obtener las ganancias </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAnCAYAAAD3h5P5AAACxklEQVRYR+3XXcjOdxzH8ddto6xpMTIkmwPsZA6cCAdTQywrppbHE2RxtJE8JAe20iSZx4USY3kYeUoewglHHmrNgXYgZBRjs5ZobH31/d/d3d33fXH5X/ftwK/+XU///+/9+z59vt+rThuuujZkew1vE++/8m5vh3fRD1dwtyw3NWd5e8zEJ3l1wjlMwrVaw4v938JqzMB2zMHfrQXvnNBP8TVWlQWOfSol3ADsxvsYjbOtCf8MB3AGk/F7a8HfwDIsxA/4Cg9bC94w3l/mAcpktxjzj7AXb2MsLiC+C/fHa9T/pbzncjVeaSnhAvIjTmZ930mzP8AWbMDPeFqtO5qDd8DyjHOU1wI8RhfMTejFaqHFc83Be2IHPsaUfP8eZmFrWSrXHHwojuI2JuBJun4l7r2sxZUsDws34hgOYj6+T4X7r5bwjgmJAzRckXjTcKuW8D7YiSFYhF/wE6KzfY59tYSPwHH8lvG+kaU1DvsxHffLOEDjhIvPi1NWQ2Cilf6VwM3ZTiMB43Ahv8NxHn9Wc5jG8HDtOkzFEnyLSLBe2VoDtidLrnd6Ju55VAa8P3ZhIEbiRG4ah5yYFRAHPJzKNi/DU7C7YRRCBbtjfbbiOHQk6ncN729sedFCmxqZ3szR6pvU9Ci/plSumAFCJUN+16JHSvX17A1/PM8wUY03i4TdlLIcohQDaChm3wxVVFDFSeZF4UXCzk5ZPpUbRDiifCNkEb6rtYC/g6iKEKqolJDnWINwKHMlhpJ/agEv4h2gpfg3vRvASM7QiOgZz1alAfJF3V4k7PgUpHj+w1TIEKjI9vpRrEx4MfOFCMUVSRX6ELrxK1akYNUbVCa8awpRaER0wJsYlh443ZQQlQkvkmpNujdmgBZXmfBiBhjTMKlaopcFL2aAwfgi/81WMryUbA9wAOOKtQ1H8KASvSzLK3Ga/P1//0GQKHJKXCMAAAAASUVORK5CYII=" width="15.5" height="19.5" /></span><span class = "S2"><span class="S0">,</span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15.5" height="19.5" /></span><span class = "S2"><span class="S0"> y </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="15" height="19.5" /></span><span class = "S2"><span class="S0"> teniendo solamente la función de transferencia de la planta y las especificaciones deseadas. Por otro lado, Simulink tiene un bloque especifico llamado "</span></span><span class = "S2"><span class="S16">PID Controller</span></span><span class = "S2"><span class="S0">" en el cual podemos especificar las ganancias de cada acción, coeficiente del filtro de la parte derivativa y el periodo de muestreo.</span></span></div><div class = "S17"><img class="imageNode" width="569" height="378" style="vertical-align: baseline" src="data:image/png;base64,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"></div><div class = "S17"><span class = "S2"><span class="S0">Figure 1: Herramienta pidTuner</span></span></div><div class = "S17"><span class = "S2"><span class="S0"></span></span></div><div class = "S17"><img class="imageNode" width="150" height="158" style="vertical-align: baseline" src="data:image/png;base64,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"></div><div class = "S17"><span class = "S2"><span class="S0">Figure 2: Bloques PID de Simulink</span></span></div><div class = "S17"><span class = "S2"><span class="S0"></span></span></div><div class = "S4"><span class = "S2"><span class="S0">En este ejercicio se desea implementar los mismos controladores, pero usando este bloque especifico que ofrece Simulink. Para la simulación del PI abrir y ejecutar el modelo P3_Ex13a.slx. Para ejecutar este modelo en una planta abrir y ejecutar el modelo P3_Ex13b.slx. Para la simulación del PID, abrir y ejecutar el modelo P3_Ex13c.slx y para su comprobación usar el modelo P3_Ex13d.slx. Analizar que los resultados obtenidos en este ejercicio se asemejan a los resultados obtenidos en los ejercicios anteriores.</span></span></div></div></div><br><!-- <br>##### SOURCE BEGIN #####<br>%% *Práctica 3: Diseño e implementación de Controladores PID*<br>% Las prácticas de la asignatura control por computador consisten en el estudio <br>% de un servomecanismo de posicionamiento angular (LJ Technical Systems) controlado <br>% por un PC. Las sesiones de laboratorio P1 y P2 se centran en el análisis experimental <br>% de las respuestas temporal y frecuencial del sistema respectivamente. Las sesiones <br>% P3 y P4 se dedican al diseño de controladores PID. Por último, en la práctica <br>% P5 se diseñarán controladores en campo frecuencial.<br>% <br>% *OBJETIVO: Diseñar un controlador PI de velocidad de salida para que el <br>% sistema de lazo cerrado tenga un error estacionario nulo. Diseñar un controlador <br>% PID de la posición del eje de salida para la planta estudiada en las sesiones <br>% anteriores para que el sistema en lazo cerrado cumpla unas ciertas especificaciones.*<br>% <br>% *En esta sesión el estudiante ha de:*<br>% <br>% * *Diseñar un PI y un PID por asignación de polos.*<br>% * *Verificar experimentalmente los sistemas de control diseñados.*<br><br>% Alternar entre los datos del experimento y los del directorio Resultados<br>% Si desea usar los datos del directorio Resultados = false<br>% Si desea usar datos propios = true<br>useExperimentalData = false;<br>%% Ejercicio 11: Diseño e implementación de un PI por asignación de polos.<br>% Diseñar un PI de control de velocidad que haga que la respuesta temporal a <br>% una entrada escalón no presente sobreimpulsos y que el tiempo de establecimiento <br>% (con el criterio del 2%) sea de 0.8 segundos. Para la simulación del controlador <br>% PI digital, abrir y ejecutar el modelo P3_Ex11a.slx. Para su comprobación con <br>% el motor, abrir y ejecutar el modelo P3_Ex11b.slx.<br>%%<br>% Planta<br>K0=0.82;<br>tau0=0.26;<br><br>% Periodo de muestreo<br>Ts=0.01;<br><br>% Especificaciones<br>xi=1;<br>ts_2=0.8; % tiempo de establecimiento con el criterio de 2%<br>Tdes=ts_2/4;<br>wn=5.8/(xi*ts_2);<br><br>% Diseño del controlador<br>Zdes=exp(-Ts/Tdes);<br>alpha=exp(-Ts/tau0);<br>beta=-2*exp(-Ts*xi*wn)*cos(wn*Ts*sqrt(1-xi^2));<br>gamma=exp(-2*Ts*xi*wn);<br><br>Ki_star=(gamma-alpha+beta+(alpha+1))/(2*K0*(1-alpha));<br>Ki=(2/Ts)*Ki_star;<br>Kp=((beta+alpha+1)/(K0*(1-alpha)))-Ki_star;<br>%% <br>% Para diseñar el controlador, se han seguido los siguientes pasos. Primeramente, <br>% se ha digitalizado la planta con un mantenedor de orden cero y se ha escogido <br>% un controlador PI discretizado mediante la aproximación trapezoidal.<br>% <br>% $$\mathrm{motor}:G\left(z\right)=k_{\mathrm{mot}} \frac{1-\alpha }{z-\alpha <br>% }\;\;\;\;\;\;\;\;\;\mathrm{donde}\;\;\;\;\;\;\;\;\;\;\;\;\alpha =e^{-\frac{T_s <br>% }{\tau_0 }}$$<br>% <br>% $$\mathrm{controlador}\;\mathrm{PI}:\mathrm{PI}\left(z\right)=k_p +k_i <br>% \frac{T_s }{2}\frac{z+1}{z-1}=k_p +k_i^* \frac{z+1}{z-1}\;\;\;\;\;\;\mathrm{donde}\;\;\;\;k_i^* <br>% =k_i \frac{T_s }{2}$$<br>% <br>% <br>% <br>% Con lo cual la función de transferencia del lazo cerrado:<br>% <br>% $$\textrm{l}c\left(z\right)=\frac{\textrm{PI}\left(z\right)G\left(z\right)}{1+\textrm{PI}\left(z\right)G\left(z\right)}=\frac{k_{\mathrm{mot}} <br>% \left(k_p +k_i^* \right)\left(z+\frac{k_i^* -k_p }{k_i^* +k_p }\right)\left(1-\alpha <br>% \right)}{\left(z-1\right)\left(z-\alpha \right)+k_{\mathrm{mot}} \left(k_p +k_i^* <br>% \right)\left(z+\frac{k_i^* -k_p }{k_i^* +k_p }\right)\left(1-\alpha \right)}$$<br>% <br>% Igualando la ecuación caracteristica real, con la ideal, podremos sintonizar <br>% nuestros parámetros.<br>% <br>% $$\begin{array}{l}\mathrm{eq}\;\mathrm{real}:z^2 +\left\lbrack \left(k_p <br>% +k_i^* \right)k_{\mathrm{mot}} \left(1-\alpha \right)-\left(\alpha +1\right)\right\rbrack <br>% z+\alpha +k_{\mathrm{mot}} \left(k_i^* -k_p \right)\left(1-\alpha \right)=0\\\mathrm{eq}\;\mathrm{ideal}:z^2 <br>% -2e^{-T_s \xi \omega_n } \mathrm{cos}\left(\omega_n T_s \sqrt{1-\xi^2 }\right)z+e^{-2T_s <br>% \xi \omega_n } \end{array}$$<br>% <br>% Con lo cual, las ecuaciones de sintonía serían:<br>% <br>% $$\begin{array}{l}k_p =\frac{-\left(-2e^{-T_s \xi \omega_n } \mathrm{cos}\left(\omega_n <br>% T_s \sqrt{1-\xi^2 }\right)+e^{-2T_s \xi \omega_n } +1\right)}{T_s \;k_{\mathrm{mot}} <br>% \;\left(\alpha -1\right)}\\k_i =\frac{-2e^{-T_s \xi \omega_n } \mathrm{cos}\left(\omega_n <br>% T_s \sqrt{1-\xi^2 }\right)+e^{-2T_s \xi \omega_n } +1}{2{\;k}_{\mathrm{mot}} <br>% \;\left(\alpha -1\right)}-\frac{\alpha -2e^{-T_s \xi \omega_n } \mathrm{cos}\left(\omega_n <br>% T_s \sqrt{1-\xi^2 }\right)+1}{k_{\mathrm{mot}} \;\left(\alpha -1\right)}\end{array}$$<br>% <br>% Las respuestas ideal y real se pueden observar en la siguiente imagen.<br><br>% Dibujar la respuesta del motor<br>if useExperimentalData<br> % Usar Simulink<br> addpath([pwd filesep 'PIvel']);<br> open PI_experimental.slx;<br> run PI_experimental.slx;<br>else<br> FileName = 'PI_real_experimental.mat';<br> cd('..')<br> FolderName = [pwd filesep 'Common' filesep 'Resultados' filesep 'Prac3'];<br> File = fullfile(FolderName, FileName);<br> load(File); <br>end<br><br>figure<br>plot(PI_real_experimental.time,[PI_real_experimental.signals.values(:,1,:)],'r')<br>hold on; grid on;<br>plot(PI_real_experimental.time,[PI_real_experimental.signals.values(:,2,:)],'b')<br>plot(PI_real_experimental.time,[PI_real_experimental.signals.values(:,3,:)],'g')<br>xlim([18 60]); ylim([-2.3 2.3]);<br>xlabel('Tiempo (s)');<br>ylabel('Voltaje (V)');<br>title('Vin y salida real e ideal');<br>legend('Vin','Respuesta Real','Respuesta Ideal');<br>%% <br>% Como se puede analizar, las dos respuestas son prácticamente iguales, <br>% pero si analizamos las especificaciones deseadas, podemos observar que estas <br>% no se cumplen. Esto ocurre porque el controlador PI junto con una planta de <br>% primer orden tienen como respuesta un sistema con dos polos y un cero. Este <br>% último, tiene un efecto negativo en la dinámica del sistema, normalmente haciéndola <br>% un poco más rápida de lo deseado, es por eso, que en este caso obtenemos un <br>% pequeño sobreimpulso. En la siguiente práctica se analizará como eliminar este <br>% efecto.<br>%% Ejercicio 12: Diseño e implementación de un PID por asignación de polos.<br>% Diseñar un PID de control de posición que haga que la respuesta temporal a <br>% una entrada escalón presente un sobreimpulso del 80% y una frecuencia de las <br>% oscilaciones de 0,5 Hz.<br>% <br>% Para conseguirlo calcule el valor de los dos polos dominantes que cumplen <br>% con estas especificaciones y considere un tercer polo en 0,01. Toma el periodo <br>% de muestreo Ts igual a 0,01s. Determinar el valor de $k_p$,$\;k_i$ y $k_d$ y <br>% del 4º polo. Verificar si se cumple la hipótesis de polos dominantes. <br>%%<br>% Parámetros de la planta <br>K0=0.82/0.017;<br>tau0=0.26;<br>N=9;<br>Kpot=1.62;<br><br>% Periodo de muestreo<br>Ts=0.01;<br><br>% Especificaciones de control deseadas<br>Sp=80; % sobreimpulso<br>Fd=0.5; % frecuencia<br><br>% Polos de segundo orden continuo que cumpliran las especificaciones<br>wd=2*pi*Fd ;<br>xi=sqrt((log(Sp/100))^2/(pi^2+log(Sp/100)^2))<br>wn=wd/ sqrt(1-xi^2)<br>s1=-xi*wn+j*wd<br>s2=-xi*wn-j*wd<br>% Polos de segundo orden discreto que cumpliran las especificaciones<br>p1=exp(Ts* s1 )<br>p2=exp(Ts* s2 )<br>% Insertar el tercer polo<br>p3=0.01<br>% Función de transferencia discreta de la planta <br>Ptas=tf([K0*(1/N)*Kpot],[tau0,1,0]);<br>Ptaz=c2d(Ptas,Ts,'zoh');<br><br>% Coeficientes del denominador y enumerador <br>[Nz ,Dz]= tfdata(Ptaz,'v')<br>a1=Nz(2);<br>a0=Nz(3);<br>b1=Dz(2);<br>b0=Dz(3);<br><br>% Definiciones de las matrices A y B<br>A=[-1 -a1 -a1 -a1 ; p2+p3+p1 a1-a0 -a1-a0 -a0+2*a1 ; ...<br> -p1*p2-p3*p1-p2*p3 a0 -a0 2*a0-a1 ; p1*p2*p3 0 0 -a0 ] ;<br>b=[p1+p2+p3-1+b1 ; -p1*p2-p3*p1-p3*p2+b0-b1 ; p1*p2*p3-b0 ; 0 ] ;<br><br>% Controlador <br>x=inv(A)*b ; <br><br>p4=x(1)<br>Kp=x(2)<br>Ki=(2/Ts)*x(3)<br>Kd=Ts*x(4)<br>% Anti-wind-up<br>pawd=0.2;<br>Kaw=1/Ki;<br><br>% Calculo de dominancia de los polos<br>dominancia=log(abs(p4))/log(abs(p1))<br>%% <br>% La función de transferencia del PID tiene la siguiente forma:<br>% <br>% $$\textrm{controlador}\;\mathrm{PI}\textrm{D}:\textrm{P}\mathrm{ID}\left(z\right)=k_p <br>% +k_i \frac{T_s }{2}\frac{z+1}{z-1}+k_d \frac{z-1}{T_{s\;} z}=k_p +k_i^* \frac{z+1}{z-1}+k_d^* <br>% \;\frac{z-1}{z}\;\;\;\;\textrm{donde}\;\;\;\;k_i^* =k_i \frac{T_s }{2}\;\;y\;k_d^* <br>% =\frac{k_d }{T_s }$$<br>% <br>% $$\mathrm{planta}\;\mathrm{segundo}\;\mathrm{orden}:G\left(z\right)=\frac{a_{1\;} <br>% z+a_0 }{z^2 +b_{1\;} z+b_0 }$$<br>% <br>% Con lo cual la función de transferencia de lazo cerrado toma la forma:<br>% <br>% $$\mathrm{cl}\left(z\right)=\frac{\mathrm{PID}\left(z\right)G\left(z\right)}{1+\mathrm{PID}\left(z\right)G\left(z\right)}=\frac{\mathrm{Num}\left(z\right)}{\mathrm{Den}\left(z\right)}$$<br>% <br>% Se puede comprobar fácilmente que el denominador es:<br>% <br>% $$\begin{array}{l}\mathrm{Den}\left(z\right)=z^4 +\left(-1+k_i^* a_1 +b_1 <br>% +k_d^* a_1 +k_p a_1 \right)z^3 +\left(-b_1 -k_p a_1 +k_p a_0 +b_0 -2k_d^* a_1 <br>% +k_i^* a_0 +k_i^* a_1 +k_d^* a_0 \right)z^2 \\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;+\left(k_i^* <br>% a_0 -b_0 -2k_d^* a_0 -k_p a_0 +k_d^* a_1 \right)z+k_d^* a_0 \end{array}$$<br>% <br>% El polinomio es de orden cuatro, con lo cual tendrá cuatro polos y la ecuación <br>% característica será:<br>% <br>% $$\begin{array}{l}\mathrm{Den}\left(z\right)=\left(z-p_1 \right)\left(z-p_2 <br>% \right)\left(z-p_3 \right)\left(z-p_4 \right)=z^4 +\left(-p_1 {-p}_2 -p_3 -p_4 <br>% \right)z^3 \\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;+\left(p_1 p_2 -\left({-p}_1 <br>% -p_2 \right)p_3 -\left(-p_1 -p_2 -p_3 \right)p_4 \right)z^2 \\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;+\left({-p}_1 <br>% p_2 p_3 -\left(p_1 p_2 -\left({-p}_1 -p_2 \right)p_3 \right)p_4 \right)z+p_1 <br>% p_2 p_3 p_4 \end{array}$$<br>% <br>% Como es un sistema de cuarto orden y tres incógnitas, no se podrán fijar <br>% todos los polos y quedando uno de ellos libre ($p_4$). La metodología será aceptable <br>% y adecuada si el polo libre es estable y no dominante.<br>% <br>% Igualando los coeficientes y representándolo en forma matricial, el sistema <br>% en lazo cerrado seria:<br>% <br>% $$\left\lbrack \begin{array}{cccc}-1 & -a_1 & -a_1 & -a_1 \\p_1 +p_2 <br>% +p_3 & a_1 -a_0 & -a_1 -a_0 & -a_0 +2a_1 \\-p_1 p_2 -p_3 p_1 -p_3 p_2 & <br>% a_0 & -a_0 & 2a_0 -a_1 \\p_1 p_2 p_3 & 0 & 0 & -a_0 \end{array}\right\rbrack <br>% \left\lbrack \begin{array}{c}p_4 \\k_p \\k_i^* \\k_d^* \end{array}\right\rbrack <br>% =\left\lbrack \begin{array}{c}p_1 +p_2 +p_3 -1+b_1 \\-p_1 p_2 -p_3 p_1 -p_3 <br>% p_2 +b_0 -b_1 \\p_1 p_2 p_3 -b_0 \\0\end{array}\right\rbrack$$<br>% <br>% Este sistema lineal es fácilmente soluble utilizando MATLAB. La ecuación <br>% es $A\;x=b$, donde $A$ es una matriz $n\;x\;n$ y $b$ es un vector columna con <br>% $n$ elementos, entonces, $x=\mathrm{inv}\left(A\right)·b$.<br><br>% Dibujar la respuesta del motor<br>if useExperimentalData<br> % Usar Simulink<br> addpath([pwd filesep 'PIvel']);<br> open PID_experimental.slx;<br> run PID_experimental.slx;<br>else<br> FileName = 'PID_real_ideal.mat';<br> FolderName = [pwd filesep 'Common' filesep 'Resultados' filesep 'Prac3'];<br> File = fullfile(FolderName, FileName);<br> load(File); <br>end<br><br>figure<br>plot(PID_real_ideal.time,[PID_real_ideal.signals.values(:,1,:)],'r')<br>hold on; grid on;<br>plot(PID_real_ideal.time,[PID_real_ideal.signals.values(:,2,:)],'b')<br>plot(PID_real_ideal.time,[PID_real_ideal.signals.values(:,3,:)],'g')<br>xlim([30 60]); ylim([-6.5 6.5]);<br>xlabel('Tiempo (s)');<br>ylabel('Voltaje (V)');<br>title('Vin y salida real e ideal');<br>legend('Vin','Respuesta Real','Respuesta Ideal');<br>%% <br>% Como se puede observar, aunque el controlador sea capaz de establecer <br>% el sistema, las respuestas real e ideal no son parecidas. Esto ocurre porque <br>% uno de los polos se ha fijado libremente y aunque cumpla la metodología de ser <br>% libre y no dominante, esta afecta al sistema. Además de esto, el controlador <br>% añade dos ceros, los cuales también afectan a la dinámica del sistema. Junto <br>% a todo esto hay que añadir el efecto de que algunas dinámicas no han sido modeladas.<br>%% Ejercicio 13: Diseñar los mismos controladores pero con el bloque PID de Simulink.<br>% Saber cómo se diseñan y diseñar controladores PID es muy importante, ya que <br>% seremos capaces de realizar un lazo de control para cualquier sistema. Pero <br>% además de esto, tenemos que saber que MATLAB/Simulink ofrecen herramientas que <br>% simplifican nuestro trabajo. Por ejemplo, con la herramienta "_pidTuner_" podemos <br>% obtener las ganancias $k_p$,$\;k_i$ y $k_d$ teniendo solamente la función de <br>% transferencia de la planta y las especificaciones deseadas. Por otro lado, Simulink <br>% tiene un bloque especifico llamado "_PID Controller_" en el cual podemos especificar <br>% las ganancias de cada acción, coeficiente del filtro de la parte derivativa <br>% y el periodo de muestreo.<br>% <br>% <br>% <br>% Figure 1: Herramienta pidTuner<br>% <br>% <br>% <br>% <br>% <br>% Figure 2: Bloques PID de Simulink<br>% <br>% <br>% <br>% En este ejercicio se desea implementar los mismos controladores, pero usando <br>% este bloque especifico que ofrece Simulink. Para la simulación del PI abrir <br>% y ejecutar el modelo P3_Ex13a.slx. Para ejecutar este modelo en una planta abrir <br>% y ejecutar el modelo P3_Ex13b.slx. Para la simulación del PID, abrir y ejecutar <br>% el modelo P3_Ex13c.slx y para su comprobación usar el modelo P3_Ex13d.slx. Analizar <br>% que los resultados obtenidos en este ejercicio se asemejan a los resultados <br>% obtenidos en los ejercicios anteriores.<br>##### SOURCE END #####<br>--></body></html>