how to plot this two equatio and the resutant output is shown in the figure
MATLAB: Control system bode plot
bode plot
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Check this:
alpha=0.1; % alpha is 0.1
Wcr=10;w1=logspace(-1,log10(Wcr),1000);w2=logspace(log10(Wcr),3,1000); Mag1=20*alpha*ones(1,numel(w1)); %<---- you need to multiply alpha here too
Mag2=@(w2) 20*alpha*log10(w2);semilogx(w1,Mag1);hold on;semilogx(w2,Mag2(w2));grid on;xlabel('Frequency');ylabel('dB')Also try this to plot all values from 0.1 to 0.9 on one graph
Wcr=10;w1=logspace(-1,log10(Wcr),1000);w2=logspace(log10(Wcr),3,1000); ax = axes('XScale', 'log');hold on;Alpha=0.1:0.1:0.9;for i=1:numel(Alpha) alpha = Alpha(i); Mag1=20*alpha*ones(1,numel(w1)); Mag2=@(w2) 20*alpha*log10(w2); semilogx(w1,Mag1); semilogx(w2,Mag2(w2));endgrid on;xlabel('Frequency');ylabel('dB');Try this
Kp = 1;Ki = 2;alpha = 1.5;w_cr = abs(Ki)^(1/alpha);w = logspace(-1, 3, 1000);mask = w < w_cr;term1 = 20*log(Kp)*ones(size(w));term2 = mask.*(20*log(Ki)) + (~mask).*(20*alpha*log(w));term3 = -20*alpha*log(w);combined = term1 + term2 + term3;subplot(4,1,1);semilogx(w, term1)subplot(4,1,2);semilogx(w, term2)subplot(4,1,3);semilogx(w, term3)subplot(4,1,4);semilogx(w, combined)
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