A unity feedback control system has the open loop transfer function K(s+1)(s+2) G(s) = s(s + 4)(s + 10) (i) Use Routh-Hurwitz stability criterion to determine the range of values of K for which the closed-loop system is stable. (ii) Obtain the steady-state error of the closed-loop system for a unit ramp input.

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 unity feedback control system has the open loop transfer function
K(s+1)(s+2)
G(s) =
s(s + 4)(s + 10)
(i)
Use Routh-Hurwitz stability criterion to determine the range of values of K for which the
closed-loop system is stable.
(ii) Obtain the steady-state error of the closed-loop system for a unit ramp input.
Transcribed Image Text:A unity feedback control system has the open loop transfer function K(s+1)(s+2) G(s) = s(s + 4)(s + 10) (i) Use Routh-Hurwitz stability criterion to determine the range of values of K for which the closed-loop system is stable. (ii) Obtain the steady-state error of the closed-loop system for a unit ramp input.
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