A unity, negative feedback system has a nonlinear function y = f(e) = e^2 as shown in Fig. 2. For an input r in the range of 0 to 4, calculate and plot the open-loop and closed-loop output versus input and show that the feedback system results in a more linear relationship. Provide your own MATLAB script and plots.
I took the plus sign and plotted
Matlab Script:
r = 0:0.01:4;
%open loop
y = r.^2;
subplot(2,1,1);
plot(r,y);
title(‘open loop output vs input’);
%closed loop
y = ((2*r)+1)+sqrt((((2*r)+1).^2)+(4*r.^2));
subplot(2,1,2);
plot(r,y);
title(‘closed loop output vs input’);
output plot:
From the figure we can clearly see that for feed back system the input and output relationship is linear even though open loop relationship is not linear
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