📄 fig9_14.m
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% Figure 9.14 Feedback Control of Dynamic Systems, 4e
% Franklin, Powell, Emami
%
% fig9_14.m is a script to generate Fig. 9.14, the transient
% response of the PD plus notch compensator of the
% satellite position control, non-colocated case
% satellite system matrices
f =[0 1.0000 0 0;
-0.9100 -0.0360 0.9100 0.0360;
0 0 0 1.0000 ;
0.0910 0.0036 -0.0910 -0.0036];
g =[0;
0;
0;
1];
h =[1 0 0 0];
j =[0];
no3=conv(.25*[2 1],[1/.81 0 1]);
do3=conv([1/20 1],[1/625 2/25 1]);
sys3=tf(no3,do3);
sysG=ss(f,g,h,j);
[sysol]=series(sys3,sysG);
[Aol,Bol,Col,Dol]=ssdata(sysol);
Acl=Aol-Bol*Col;
hold off; clf
t=[0:0.1:40];
syscl=ss(Acl,Bol,Col,Dol)
[y,t]=step(syscl,t);
plot(t,y);
grid on;
xlabel('Time (sec)');
ylabel('Amplitude');
title('Closed-loop step response of KD3(s)G(s)')
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