Question

7. Using Matlab's "sim" command, simulate the sinusoidal response of 2s + 125 53 +992 + 45s + 125 (S) for 0 st < 10 seconds with u(t) = 3 sin(3t). Y(s) = 53 +952 + 45s

Answer 1

summary:In matlab 'lsim' in-buit-command is used to plot any type of input for given transfer function the code of matlab and its plot for given input as follow

1)matlab code

clear;clc;
%define system transfer function Y(s)/U(s)
%and input signal for given time interval
sys=tf([2 125],[1 9 45 125]); %system transfer function
t=0:0.001:10;%time interval for plot y(t)
u=3*sin(3.*t);%input signal for sinusoidal system response
lsim(sys,u,t);%system sinusoidal response
title('sinusoidal response of sys=(2s+125)/(s^3+9s^2+45s+125)');

2)matlab result

sinusoidal response of sys=(25+125)/(s®+9s2+45s+125) Amplitude NE 10 Time (seconds)