For the unity negative feedback system (Fig. 1), G(s (s + 6) (s + 1)(s + 2)(s + 5) It's known that the closed-loop system is operating with two dominant-poles, and the damping ratio is 0.5. What is the value of K? Design a PD controller so that the settling time is reduced by a factor of 3, compared with the unity negative feedback system. Compare the percentage overshoot and resonant frequencies of the uncompensated (unity negative feedback system) and compensated (PD controller-based feedback systems).

For the unity negative feedback system (Fig. 1), G(s (s + 6) (s + 1)(s + 2)(s + 5) It's known that the closed-loop system is operating with two dominant-poles, and the damping ratio is 0.5. What is the value of K? Design a PD controller so that the settling time is reduced by a factor of 3, compared with the unity negative feedback system. Compare the percentage overshoot and resonant frequencies of the uncompensated (unity negative feedback system) and compensated (PD controller-based feedback systems).

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

For the unity negative feedback system (Fig. 1),
G(s)
=
(s + 6)
(s + 1)(s + 2)(s+5)
It's known that the closed-loop system is operating with two dominant-poles, and the damping ratio
is 0.5. What is the value of K? Design a PD controller so that the settling time is reduced by a factor of
3, compared with the unity negative feedback system. Compare the percentage overshoot and
resonant frequencies of the uncompensated (unity negative feedback system) and compensated (PD
controller-based feedback systems).

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