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s=poly(0,'s');
F=syslin('c',[k/((1+0.2*s)*s*(0.05*s+1))]) //without k
fmin=0.1; //Min freq in Hz
fmax=20; //Max freq in Hz
scf(1);clf;
bode(F,fmin,fmax); //Plots frequency response of open-loop system in Bode diagram
show_margins(F) //display gain and phase margin and associated crossover frequencies
// TO FIND VALUE OF K
k= 10^(26/20)
disp(k,"k marginal = ")
// for GM=10 dB, the point on the plot without k is 16dB away from 0dB line.
k1=10^(16/20) // 20*log(k1)=-10
disp(k1,"k for GM=10 is ")
// for PM=40degrees, the point on the magnitude plot without k is 12dB away from 0dB line.
k2=10^(12/20) // 20*log(k1)= 6 dB
disp(k2,"for PM=40degrees k is ")
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