A closed-loop feedback system is shown in following figure R(s) 1 C(s) s(s+1)(s+3) 1+ Ks (1) Find closed-loop transfer function. (2) Determine the range of gain K for which the system is stable? (3) Determine the gain K for which the system is marginally stable and the root s of the characteristic equation of this value of K.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.3P
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A closed-loop feedback system is shown in
following figure
R(s)
C(s)
1
s(s+1)(s+3)
1+ Ks
(1) Find closed-loop transfer function.
(2) Determine the range of gain K for which the system is
stable?
(3) Determine the gain K for which the system is marginally
stable and the root s of the characteristic equation of this
value of K.
Transcribed Image Text:A closed-loop feedback system is shown in following figure R(s) C(s) 1 s(s+1)(s+3) 1+ Ks (1) Find closed-loop transfer function. (2) Determine the range of gain K for which the system is stable? (3) Determine the gain K for which the system is marginally stable and the root s of the characteristic equation of this value of K.
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