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)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84695557-af10-4a9f-a919-0cf7fbda4d0d%2Ff5365cc2-223a-4c77-abf6-dac6c20d6699%2Flksc99g_processed.jpeg&w=3840&q=75)
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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