Question

X(s) U(s) s2+ 10s+625 625 b. Plot/find the time response of this system using MATLAB when subjected to the input signal in Figure 2. Assume t -O, t2 -10-9, and A - 10 Hint: What can the input signal be approximated as? Use the approximation. Plot the response for at least 1 second. 1) Provide the plot. You do not need to print an answer to the hint. 0 Figure 2. Input u(t) c. Redo part b using the transfer function shown in Equation 2. What are the differences between part b and c? Explain the reasoning behind the differences 1) Provide the plot. 2) Print the observation of the differences between b and c including their reasoning. 225 X(s) U(s) 2 30s + 225

Answer 1

b)
MATLAB code for time response

close all
clear all
clc
%Numerator of Transfer function
Num = 625;
%Denominator of Transfer function
Den = [1 10 625];
%Generating given Transfer function
sys = tf(Num,Den)
%Generating time vector of 1 sec with increment of 0.01
t = 0:0.01:1;
%Given Amplitude of step signal
A = 10^9;
%Plot Step response
step(A * sys, t)

Here attached the out put as well as the plot obtained