📄 ex8_14.m
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num=400; den=[1,2,400]; G=tf(num,den);
nW1=100*conv([0.005,1],[0.005,1]); dW1=conv([0.2,1],[0.2,1]);
nW3=[1,0,0]; dW3=[40000];
[m1,p1,w1]=bode(tf(nW1,dW1));
semilogx(w1,20*log10(m1(:)))
figure, [m3,p3,w3]=bode(tf(nW3,dW3));
semilogx(w3,20*log10(m3(:)))
[a,b,c,d]=tf2ss(num,den); S=mksys(a,b,c,d);
W1=[nW1; dW1]; W3=[nW3; 0,0,dW3];
TSS_=augtf(S,W1,[],W3);
[cF1,ccL]=hinf(TSS_);
[af,bf,cf,df]=branch(cF1); Gc=zpk(ss(af,bf,cf,df))
G_o=G*Gc; G_c=feedback(G_o,1); step(G_c)
dW1=0.5*dW1; W1=[nW1; dW1]; TSS_=augtf(S,W1,[],W3);
[cF2,CL2]=hinf(TSS_); [af,bf,cf,df]=branch(cF2);
F1=ss(af,bf,cf,df); G_o=tf(num,den)*F1;
G_c=feedback(G_o,1); step(G_c)
zpk(F1)
delta=-10:1:10; f1=figure;
f2=figure; ngrid('new')
for i=1:length(delta)
den(2)=delta(i); G=tf(num,den);
G_o=G*F1; G_c=feedback(G_o,1);
figure(f1); step(G_c), hold on
figure(f2); nichols(G_o);
end
figure(f1); set(gca,'Xlim',[0,0.2])
figure(f2), set(gca,'Xlim',[-360,0],'yLim',[-40,40])
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