Question 1. Consider a plant P(s) =- in unity feedback with the PI type (s+3)(s+2)(s+a) K1 For a given constant a > 0, find the ranges of the controller controller C(s) = Kp + gains Kp and K, so that the closed loop system is stable. (The conditions on Kp and K, may depend on parameter a ) controller plant C(s) P(s)

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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Question 1. Consider a plant P(s) =
in unity feedback with the PI type
(s+3)(s+2)(s+a)
controller C(s) = Kp +:
For a given constant a > 0, find the ranges of the controller
gains Kp and K, so that the closed loop system is stable.
(The conditions on Kp and K, may depend on parameter a )
controller
plant
C(s)
P(s)
Transcribed Image Text:Question 1. Consider a plant P(s) = in unity feedback with the PI type (s+3)(s+2)(s+a) controller C(s) = Kp +: For a given constant a > 0, find the ranges of the controller gains Kp and K, so that the closed loop system is stable. (The conditions on Kp and K, may depend on parameter a ) controller plant C(s) P(s)
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