Consider system from the figure has K(s + 10)(s + 20) (s + 30)(s - 10s + 100) R(s) E(s) C(s) G(s) G(s) = Obtain: A. The Root Locus. B. The critical points of the Root Locus: Breakaway, Break in, and crossing the imaginary axis if exists. C. The range of K that makes the system stable.

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Consider system from the figure has
K(s + 10)(s + 20)
(s + 30)(s - 10s + 100)
R(s)
E(s)
C(s)
G(s)
G(s) =
Obtain:
A. The Root Locus.
B. The critical points of the Root Locus: Breakaway, Break in, and crossing the imaginary
axis if exists.
C. The range of K that makes the system stable.
D. Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop
dominant poles
E. Find the value of K that yields closed-loop critically damped dominant poles.
F. Design an ideal PI controller for making zero steady-state error.
Transcribed Image Text:Consider system from the figure has K(s + 10)(s + 20) (s + 30)(s - 10s + 100) R(s) E(s) C(s) G(s) G(s) = Obtain: A. The Root Locus. B. The critical points of the Root Locus: Breakaway, Break in, and crossing the imaginary axis if exists. C. The range of K that makes the system stable. D. Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles E. Find the value of K that yields closed-loop critically damped dominant poles. F. Design an ideal PI controller for making zero steady-state error.
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