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Figure Q2(a) shows a unity feedback control system. (i) Assume that the system is controlled by a proportional controller given by G₁(s) = K. Find the range of value of K for which the system is stable by applying the Routh-Hurwitz stability criterion. (ii) If a proportional-plus-derivative controller Ge(s) = Kp + Kps is used instead, find the minimum control gains Ke and Ko so that the system will be stable as well as achieve a steady- state error es <2% for a unit step input. Controller R(s) + Plant 2 C(s) G₁(s) 3 s³ + 4s² + 5s + 2

Figure Q2(a) shows a unity feedback control system. (i) Assume that the system is controlled by a proportional controller given by G₁(s) = K. Find the range of value of K for which the system is stable by applying the Routh-Hurwitz stability criterion. (ii) If a proportional-plus-derivative controller Ge(s) = Kp + Kps is used instead, find the minimum control gains Ke and Ko so that the system will be stable as well as achieve a steady- state error es <2% for a unit step input. Controller R(s) + Plant 2 C(s) G₁(s) 3 s³ + 4s² + 5s + 2

Power System Analysis and Design (MindTap Course List)
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 12.2P
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To find K using Routh criterion

Figure Q2(a) shows a unity feedback control system. (i) Assume that the system is controlled by a proportional controller given by G₁(s) = K. Find the range of value of K for which the system is stable by applying the Routh-Hurwitz stability criterion. (ii) If a proportional-plus-derivative controller Ge(s) = Kp + Kps is used instead, find the minimum control gains Ke and Ko so that the system will be stable as well as achieve a steady- state error es <2% for a unit step input. Controller R(s) + Plant 2 C(s) G₁(s) 3 s³ + 4s² + 5s + 2
Transcribed Image Text:Figure Q2(a) shows a unity feedback control system. (i) Assume that the system is controlled by a proportional controller given by G₁(s) = K. Find the range of value of K for which the system is stable by applying the Routh-Hurwitz stability criterion. (ii) If a proportional-plus-derivative controller Ge(s) = Kp + Kps is used instead, find the minimum control gains Ke and Ko so that the system will be stable as well as achieve a steady- state error es <2% for a unit step input. Controller R(s) + Plant 2 C(s) G₁(s) 3 s³ + 4s² + 5s + 2
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