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📄 fig9_12.m

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%  Figure 9.12      Feedback Control of Dynamic Systems, 4e
%                        Franklin, Powell, Emami
%
%  fig9_12.m is a script to generate fig 9.12 
%  the  frequency response of the PD plus notch compensator of the 
%  satellite position control, non-colocated case



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]);
[Ac3,Bc3,Cc3,Dc3]=tf2ss(no3,do3);
[Aol,Bol,Col,Dol]=series( Ac3,Bc3,Cc3,Dc3,f,g,h,j );
Acl=Aol-Bol*Col;
hold off; clf
subplot(211); 
w=logspace(-1,.5);
w(34)=1;
[mag3, ph3, w]=bode(Aol,Bol,Col,Dol,1,w);
%ph3=ph3-360*ones(size(ph3));
loglog(w,mag3); grid; hold on;
loglog(w,ones(size(mag3)),'g');
xlabel('\omega (rad/sec');
ylabel('Magnitude, |KD3(s)G(s)|');
title('Fig. 9.12: Bode plot of KD3(s)G(s)')
subplot(212); 
semilogx(w,[ph3, -180*ones(size(ph3))]); grid; 
xlabel('\omega (rad/sec');
ylabel('Phase (deg)');
%
[Gm,Pm,Wcg,Wcp] = margin(mag3,ph3,w) 

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