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authorSiddharth Agarwal2019-09-03 18:27:40 +0530
committerSiddharth Agarwal2019-09-03 18:27:40 +0530
commit8ac15bc5efafa2afc053c293152605b0e6ae60ff (patch)
treee1bc17aae137922b1ee990f17aae4a6cb15b7d87 /Working_Examples/3432/CH7/EX7.30
parent52a477ec613900885e29c4a0b02806a415b4f83a (diff)
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Xcos examples from textbooks and for blocksHEADmaster
Diffstat (limited to 'Working_Examples/3432/CH7/EX7.30')
-rwxr-xr-xWorking_Examples/3432/CH7/EX7.30/DEPENDENCIES/fig_settings.sci9
-rwxr-xr-xWorking_Examples/3432/CH7/EX7.30/DEPENDENCIES/zpk_dk.sci43
-rwxr-xr-xWorking_Examples/3432/CH7/EX7.30/Ex7_30.sce73
-rwxr-xr-xWorking_Examples/3432/CH7/EX7.30/Ex7_30_f0.pdfbin0 -> 26005 bytes
4 files changed, 125 insertions, 0 deletions
diff --git a/Working_Examples/3432/CH7/EX7.30/DEPENDENCIES/fig_settings.sci b/Working_Examples/3432/CH7/EX7.30/DEPENDENCIES/fig_settings.sci
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+++ b/Working_Examples/3432/CH7/EX7.30/DEPENDENCIES/fig_settings.sci
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+//------------------------------------------------------------------
+//figure handel settings
+f=get("current_figure"); //Current figure handle
+f.background=8; //make the figure window background white
+l=f.children(1);
+l.background=8 ;//make the text background white
+id=color('grey');
+xgrid(id);
+//------------------------------------------------------------------
diff --git a/Working_Examples/3432/CH7/EX7.30/DEPENDENCIES/zpk_dk.sci b/Working_Examples/3432/CH7/EX7.30/DEPENDENCIES/zpk_dk.sci
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+++ b/Working_Examples/3432/CH7/EX7.30/DEPENDENCIES/zpk_dk.sci
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+//------------------------------------------------------------------
+//------------------------------------------------------------------
+//A function written by Deepti Khimani.
+//Usage:-
+//p=zpk_dk(sl)
+//[p, z]=zpk_dk(sl)
+//[p, z, k]=zpk_dk(sl)
+//p:- Poles of the system
+//z:- zeros of the system
+//k:- DC gain of the system
+//------------------------------------------------------------------
+//------------------------------------------------------------------
+
+function[pl,zr,k]=zpk_dk(sysmodel)
+ [lhs,rhs]=argn(0)
+
+ if rhs == 0 then
+ disp(["p=zpk_dk(sl)";"[p, z]=zpk_dk(sl)";"[p, z, k]=zpk_dk(sl)"]);
+ disp(["p:- Poles of the system";"z:- zeros of the system"]);
+ disp("k:- DC gain of the system");
+ return;
+ end
+
+ if typeof(sysmodel)=="rational" then
+ sys=tf2ss(sysmodel);
+ pl=spec(sys.A);
+ zr=trzeros(sys);
+ temp1=poly(zr,'s','roots')/poly(pl,'s','roots');
+ temp2=sysmodel/temp1;
+ temp3=tf2ss(temp2);
+ k=temp3.D;
+ elseif typeof(sysmodel)=="state-space" then
+ pl=spec(sysmodel.A);
+ zr=trzeros(sysmodel);
+ g=ss2tf(sysmodel);
+ temp1=poly(zr,'s','roots')/poly(pl,'s','roots');
+ temp2=g/temp1;
+ temp3=tf2ss(temp2);
+ k=temp3.D
+ else
+ error("Wrong type of input argument.")
+ end
+endfunction
diff --git a/Working_Examples/3432/CH7/EX7.30/Ex7_30.sce b/Working_Examples/3432/CH7/EX7.30/Ex7_30.sce
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+//Example 7.30
+// Full-Order Compensator Design for DC Servo.
+
+xdel(winsid())//close all graphics Windows
+clear;
+clc;
+//------------------------------------------------------------------
+
+// State space representation
+//Transfer function model for DC Servo
+s=poly(0,'s');
+num=10;
+den=s*(s+2)*(s+8);
+Gs=syslin('c',num/den);
+
+// State space representation
+F=[-10 1 0;-16 0 1;0 0 0];
+G=[0 0 10]';
+H=[1 0 0];
+J=0;
+n=sqrt(length(F));
+//Desired poles for the DC Servo system.
+Pc=[-1.42 -1.04+2.14*%i -1.04-2.14*%i ]
+
+
+// State feedback gain
+K=ppol(F,G,Pc)
+disp(K,'K=',"State feedback gain")
+
+//Estimator - error roots are at
+Pe=[-4.25 -3.13+6.41*%i -3.13-6.41*%i]
+L=ppol(F',H',Pe);
+L=L';
+disp(L,'L=',"Observer gain")
+//------------------------------------------------------------------
+//Compensator Design
+DK=-K*inv(s*eye(n,n)-F+G*K+L*H)*L;
+
+exec('./zpk_dk.sci', -1);
+[p,z]=zpk_dk(DK);
+D=poly(z,'s','roots')/poly(p,'s','roots')
+
+evans(Gs*D)
+zoom_rect([-8 -9 3 9])
+
+f=gca();
+f.x_location = "origin"
+f.y_location = "origin"
+xset("color",2);
+h=legend('');
+h.visible = "off"
+
+//Title, labels and grid to the figure
+exec .\fig_settings.sci; // custom script for setting figure properties
+title('Root locus for DC servo pole assignment','fontsize',3);
+//------------------------------------------------------------------
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/Working_Examples/3432/CH7/EX7.30/Ex7_30_f0.pdf b/Working_Examples/3432/CH7/EX7.30/Ex7_30_f0.pdf
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