control system bode plot

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Irshad Baruah
Irshad Baruah on 26 Mar 2020
Commented: Birdman on 30 Mar 2020
how to plot this two equatio and the resutant output is shown in the figure

Accepted Answer

Birdman
Birdman on 26 Mar 2020
Try this:
alpha=1;Wcr=10;
syms w
Mag(w)=piecewise(w<Wcr,20,w>=Wcr,-26.144+20*alpha*log(w));
w=logspace(-1,3,1000);
semilogx(w,Mag(w));grid on;xlabel('Frequency');ylabel('dB')
  9 Comments
Irshad Baruah
Irshad Baruah on 27 Mar 2020
alpha value should be fractional,in this code if i chang the alpha value the graph got cut
Birdman
Birdman on 30 Mar 2020
Hello Irshad,
Sorry for the late reply. There has been something in the code that I missed, so the following code is working:
hold off;
alpha=0.09;Wcr=10;
w1=logspace(-1,log10(Wcr),1000);w2=logspace(log10(Wcr),3,1000);
Mag1=20*alpha*ones(1,numel(w1));Mag2=@(w2) 20*alpha*log10(w2);
semilogx(w1,Mag1);hold on;semilogx(w2,Mag2(w2));grid on;xlabel('Frequency');ylabel('dB')

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