Problem: For this assignment, you are required to analyze and compare the time response characteristics of second-order systems. Specifically, you'll work with the following three transfer functions: 1. 2. 3. 1 s² + 2s + 2 1 s² + 2s+1 1 s² + 4s + 4 Your task includes implementing these transfer functions, analyzing their step responses, and recording key time domain properties such as damping ratio, natural frequency, peak overshoot, settling time, and rise time. Finally, you need to create a table to compare these properties, highlighting the differences in behavior among the selected systems. Deliverables and Grading Criteria: Implementation of transfer functions and MATLAB code. [1 mark each] Step response plots. [1 mark each] Comparison table of time response properties. [1 mark each] Analysis and discussion of results. [1 mark each] Report organization and cover page [1 mark each]

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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Problem: For this assignment, you are required to analyze and compare the time
response characteristics of second-order systems. Specifically, you'll work with
the following three transfer functions:
1.
2.
3.
1
s² + 2s + 2
1
s² + 2s+1
1
s² + 4s + 4
Your task includes implementing these transfer functions, analyzing their step
responses, and recording key time domain properties such as damping ratio,
natural frequency, peak overshoot, settling time, and rise time. Finally, you need
to create a table to compare these properties, highlighting the differences in
behavior among the selected systems.
Deliverables and Grading Criteria:
Implementation of transfer functions and MATLAB code. [1 mark each]
Step response plots. [1 mark each]
Comparison table of time response properties. [1 mark each]
Analysis and discussion of results. [1 mark each]
Report organization and cover page [1 mark each]
Transcribed Image Text:Problem: For this assignment, you are required to analyze and compare the time response characteristics of second-order systems. Specifically, you'll work with the following three transfer functions: 1. 2. 3. 1 s² + 2s + 2 1 s² + 2s+1 1 s² + 4s + 4 Your task includes implementing these transfer functions, analyzing their step responses, and recording key time domain properties such as damping ratio, natural frequency, peak overshoot, settling time, and rise time. Finally, you need to create a table to compare these properties, highlighting the differences in behavior among the selected systems. Deliverables and Grading Criteria: Implementation of transfer functions and MATLAB code. [1 mark each] Step response plots. [1 mark each] Comparison table of time response properties. [1 mark each] Analysis and discussion of results. [1 mark each] Report organization and cover page [1 mark each]
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