Answered: The transfer function of a system is…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

This is a part of a review I'm studying, NOT a graded assignment, please do not reject.

May someone verify the given answer to this review problem in MATLAB please and explain how you scripted it? I know how to solve this regularly on paper but I'm totally lost on writing a script. Thank you in advance for your help!

The transfer function of a system is
Y(s) 15(s + 1)
R(s) s² +9s +14
Determine y(t) when r(t) is a unit step input.
Answer: y(t) = 1.07 +1.5e-2 -2.57e-7t, t≥0

Expert Solution

Step 1: Explanation:

In this piece of code we create the variables "s" and "t."
We define the Laplace transform of a unit step function called "R(s)".
The transfer function is referred to as "G(s)." By applying the Laplace convolution theorem we calculate the product of "Y(s)" in the Laplace domain.
Then we convert it back, to the time domain by performing the Laplace transform to obtain "y(t)."
Lastly using the function we display "y(t)" in an equation form that represents how the system responds to a unit step input.