Q1. For the following system: R(s) 1 1 C(s) Ke s+1 s2 + 2s + 1 a) Calculate the equivalent transfer function? b) Check the stability of the system using Routh's stability criterion. What will be the range of values of k, for a stable system? c) Plot Root Locus for the above transfer function using MATLAB. (Hints: Assume k =1, define the transfer function first) d) If the input is a unit step, use ilaplace function in MATLAB to find the response c(t). (Assume ke = 1) e) Plot the step response of the system using the calculated step response in d). ) Plot the step response using the step function in MATLAB on the same figure. g) When the system is stable, which value of ke will provide the best performance for step response? Why? Consider performance indicators like: peak time, rise time, ... etc. Hint: Plot the responses using different k, values on the same figure. (Only evaluate the odd positive integers in the range of values of ke you found in part b) for a stable system)

Q1. For the following system: R(s) 1 1 C(s) Ke s+1 s2 + 2s + 1 a) Calculate the equivalent transfer function? b) Check the stability of the system using Routh's stability criterion. What will be the range of values of k, for a stable system? c) Plot Root Locus for the above transfer function using MATLAB. (Hints: Assume k =1, define the transfer function first) d) If the input is a unit step, use ilaplace function in MATLAB to find the response c(t). (Assume ke = 1) e) Plot the step response of the system using the calculated step response in d). ) Plot the step response using the step function in MATLAB on the same figure. g) When the system is stable, which value of ke will provide the best performance for step response? Why? Consider performance indicators like: peak time, rise time, ... etc. Hint: Plot the responses using different k, values on the same figure. (Only evaluate the odd positive integers in the range of values of ke you found in part b) for a stable system)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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