Question

Compute and plot the unit-step response of the following model.

10ÿ + 6ẏ + 2y = f + 7ḟ

Answer 1

Consider the equation

10ÿ + 6ẏ + 2y = f + 3ḟ

 

The objective is to solve the unit step response for amplitude variation by transferring to state response using ‘tf’ command and implement unit impulse using ‘impulse’ command.

 

Mat-lab code for ‘Required problem’ is provided below.

Save this program as ‘Required problem’.

% Plot the unit-step response of the following model

clc; clear;

tic;

sys = tf([3,1],[10,6,2]);

step(sys);

toc;

 

The output of the code ‘Required problem’ in the figure window is shown below.

 

It is found that after 15 seconds, the amplitude reaches to a fixed value 0.5.

 

Here elapsed time is 0.961200 seconds.

Here elapsed time is 0.961200 seconds.