Question

Here we can see the pole zero cancellation;

matlab code :

clc;

clear all;

close all;

s=tf('s');% definition of transfer function

g1=0.1/(1+2*s); % plant 1

g2=0.1/(1+10*s);% plant 2

step(feedback(g1*g2,1));grid % step response without controller

g=0.1/((1+2*s)*(1+10*s)); % plant for question 2)

kc=190; % proportional gain

figure

step(feedback(g*kc,1));grid % step response with ptoportional controller

gc=5*(10*s+1)/s; % PI controller

figure

step(feedback(g*gc,1));grid % step response with PI controller

figure

pzmap(feedback(g*gc,1)); % pole zero plot of closed loop ploes

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