R(s)KG(s)Y(s)Figure 1: Negative unity feedback system.1.Consider the negative unity feedback system shown in Figure , with1G(s) =(s2 + 48 + 8)(s – 1)(a) Find the characteristic equation of the closed-loop system.Y(s)(b) Use a Routh table to find the values of K > 0, if any, which will ensure thatisasymptotically stable.(c) For values of K that result in instability in , how many poles of the closed-loopR(3)system are in the RHP?

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R(s)* G(3) · Y(s) Figure 1: Negative unity feedback system. 1. Consider the negative unity feedback system shown in Figure , with 1 G(s) = (s² + 4s + 8)(s – 1) (a) Find the characteristic equation of the closed-loop system. Y(s) is (b) Use a Routh table to find the values of K > 0, if any, which will ensure that R(s) asymptotically stable. (c) For values of K that result in instability in , how many poles of the closed-loop system are in the RHP?

R(s)* G(3) · Y(s) Figure 1: Negative unity feedback system. 1. Consider the negative unity feedback system shown in Figure , with 1 G(s) = (s² + 4s + 8)(s – 1) (a) Find the characteristic equation of the closed-loop system. Y(s) is (b) Use a Routh table to find the values of K > 0, if any, which will ensure that R(s) asymptotically stable. (c) For values of K that result in instability in , how many poles of the closed-loop system are in the RHP?

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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