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5. (a) Using the feedback system given as following figure, answer the following questions: 2K (s+ 1) U() Y(s) (s+2) (i) Determine the closed loop transfer function for the above feedback system. (ii) Determine the value of K so that the steady state error to a step input is minim.e (b) Using the 2nd order feedback system given as following figure, answer the following questions: 2 (s+ K) K Y(s) (i) Determine the closed loop transfer function for the above feedback system. (ii) Determine the value of K that will result in 20% peak over-shoot to a step input. (iii) Determine the peak time and settling time for the oscillations to stay within 5% of the final value.

5. (a) Using the feedback system given as following figure, answer the following questions: 2K (s+ 1) U() Y(s) (s+2) (i) Determine the closed loop transfer function for the above feedback system. (ii) Determine the value of K so that the steady state error to a step input is minim.e (b) Using the 2nd order feedback system given as following figure, answer the following questions: 2 (s+ K) K Y(s) (i) Determine the closed loop transfer function for the above feedback system. (ii) Determine the value of K that will result in 20% peak over-shoot to a step input. (iii) Determine the peak time and settling time for the oscillations to stay within 5% of the final value.

Introductory Circuit Analysis (13th Edition)
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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5. (a) Using the feedback system given as following figure, answer the following questions: 2K Y(s) (s+1) 1 (s+ 2) (i) Determine the closed loop transfer function for the above feedback system. (ii) Determine the value of K so that the steady state error to a step input is minimi.e (b) Using the 2nd order feedback system given as following figure, answer the following questions: 2 K U(s) Y(s) (s + K) (i) Determine the closed loop transfer function for the above feedback system. (ii) Determine the value of K that will result in 20% peak over-shoot to a step input. (iii) Determine the peak time and settling time for the oscillations to stay within 5% of the final value.
Transcribed Image Text:5. (a) Using the feedback system given as following figure, answer the following questions: 2K Y(s) (s+1) 1 (s+ 2) (i) Determine the closed loop transfer function for the above feedback system. (ii) Determine the value of K so that the steady state error to a step input is minimi.e (b) Using the 2nd order feedback system given as following figure, answer the following questions: 2 K U(s) Y(s) (s + K) (i) Determine the closed loop transfer function for the above feedback system. (ii) Determine the value of K that will result in 20% peak over-shoot to a step input. (iii) Determine the peak time and settling time for the oscillations to stay within 5% of the final value.
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