1)matlab code and result
clear;clc;
%% part (a)
Gpl=tf([1],[1 1 0]);
Ls1=Gpl*1;
figure(1);
rlocus(Ls1);
title('Rootlocus plot for proportional controller');
%% part (c)
k1=32.14;
M1=feedback(k1*Ls1,1);
figure(2);
step(M1);
title('step response for proportional controller at required
tr');
%% part (d)
Dcl=tf([1 10],[1 71.36]);
Ls2=Gpl*Dcl;
figure(3);
rlocus(Ls2);
title('Rootlocus plot for lead compensator');
k2=767.05;
M2=feedback(k2*Ls2,1);
figure(4);
step(M2);
title('step response for lead compensator at required tr');
if you compare both step response the lead compensated response have small rise time and small overshoot
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