(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)

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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 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.
Transcribed Image Text:(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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