Question

Second Semester 2018/19 Matlab Project 0630-318/01A 12/04/2019 Problem 1 cs+12 For the transfer function: -= 20s2+cs+12 Plot the unit-step response with c 3 and for c 8 for 0 st s15 on the same graph with labels for the x- and the y-axis as t and x(t), respectively.

Answer 1

Matlab Code:

clc;
clear all;
close all;
%%For c=3
num=[3 12];
den=[20 3 12];
sys=tf(num,den); %Creating Transfer function
step(sys); %Step response of Transfer function for c=3
hold on;
%%For c=8
num=[8 12];
den=[20 8 12];
sys=tf(num,den);
step(sys); %Step response of Transfer function for c=8
axis([0 15 0 1.8]); %Scaling the axis
grid on;
xlabel('t');
ylabel('x(t)');
legend('c=3','c=8');

Output figure:

Step Response C-3 1.6 1.4 1.2 0.8 0.6 0.4 0.2 10 15 t (seconds)