4. Consider a unity feedback system whose G(s) represents a lightly damped system. controller plant C(s) K(s) G(s) R(s) a) Draw the root locus of the closed loop system for: G(s)= 1 (s+2)(s+20)(s²+2s+50) K(s)=k b) Find the asymptote angles and intercept of the root locus.

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4. Consider a unity feedback system whose G(s) represents a lightly damped system.
controller
plant
C(s)
K(s)
G(s)
R(s)
a) Draw the root locus of the closed loop system for:
G(s)=
1
(s+2)(s+20)(s²+2s+50)
K(s)=k
b) Find the asymptote angles and intercept of the root locus.
Transcribed Image Text:4. Consider a unity feedback system whose G(s) represents a lightly damped system. controller plant C(s) K(s) G(s) R(s) a) Draw the root locus of the closed loop system for: G(s)= 1 (s+2)(s+20)(s²+2s+50) K(s)=k b) Find the asymptote angles and intercept of the root locus.
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