.

.

:حل تمرین

clc;clear;close all
t0=0; tfinal=10; n=500; t=linspace(t0,tfinal,n);

num1=[0.1 5] ; den1=[1 0];
G1=tf(num1,den1)

num2=conv([100],[1 1]); den2=[1  2 100];
G2=tf(num2,den2)

G3=series(G1,G2);
GF=feedback(G3,1);

u=t;
[y1,t1]=step(GF,t);
[y2,t2]=impulse(GF,t);
[y3,t3]=lsim(GF,u,t);

subplot(2,2,1)
plot(t1,y1)
title('Closed Loop System Step Resonse');
xlabel('Time (seconds)')
ylabel('Amplitude')
grid on
hold on

subplot(2,2,2)
plot(t2,y2)
title('Closed Loop System Impulse Resonse');
xlabel('Time (seconds)')
ylabel('Amplitude')
grid on
hold on

subplot(2,2,3)
plot(t3,y3)
title('Closed Loop System Ramp Resonse');
xlabel('Time (seconds)')
ylabel('Amplitude')
grid on
hold on