1. (100 points) Consider a second-order system with a proportional controller Kp in a unity negative feedback loop. The open-loop transfer function is: where: G(s) = = 1 s² + as-b a>0 b>0 a) (60) Determine the range of K₂ in relation to b, that ensures the system is stable. Use the Routh-Hurwitz criterion to determine this. b) (10) If b = 4, what must the value of K₂ be greater than for the system to be stable? c) (10) If b = 4 what are the two poles of the system? d) (20) One of the poles is zero, what does this tell you about the system?

1. (100 points) Consider a second-order system with a proportional controller Kp in a unity negative feedback loop. The open-loop transfer function is: where: G(s) = = 1 s² + as-b a>0 b>0 a) (60) Determine the range of K₂ in relation to b, that ensures the system is stable. Use the Routh-Hurwitz criterion to determine this. b) (10) If b = 4, what must the value of K₂ be greater than for the system to be stable? c) (10) If b = 4 what are the two poles of the system? d) (20) One of the poles is zero, what does this tell you about the system?

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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