(a)Figure Q.la shows a unity feedback control system. The system is controlled using a simpleproportional controller, K. Given two open loop transfer functions Gi(s) and G(s) asfollowing:1(0.075)s2+s+1G;(s) =G2(s) =5346s2+45ss3+3s2+5sKG (s)or G2(s)(i)With the help of root locus sketch for G:(s) and G2(s), explain the stability of eachsystem at infinity i.e. (K-).(ii)Determine the closed-loop poles of the systems G1(s) and G:(s) for K=40. Giveyour comments based on the results obtained.

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(a) Figure Q.la shows a unity feedback control system. The system is controlled using a simple proportional controller, K. Given two open loop transfer functions G(s) and G(s) as following: G(s) G2(s) = (0.075)s?+s+1 s3+35245s K G(s)or G2(s)

(a) Figure Q.la shows a unity feedback control system. The system is controlled using a simple proportional controller, K. Given two open loop transfer functions G(s) and G(s) as following: G(s) G2(s) = (0.075)s?+s+1 s3+35245s K G(s)or G2(s)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

(a)
Figure Q.la shows a unity feedback control system. The system is controlled using a simple
proportional controller, K. Given two open loop transfer functions Gi(s) and G(s) as
following:
1
(0.075)s2+s+1
G;(s) =
G2(s) =
5346s2+45s
s3+3s2+5s
K
G (s)or G2(s)
(i)
With the help of root locus sketch for G:(s) and G2(s), explain the stability of each
system at infinity i.e. (K-).
(ii)
Determine the closed-loop poles of the systems G1(s) and G:(s) for K=40. Give
your comments based on the results obtained.

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