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Given the forward-path transfer function of a unity feedback control systems, K(s+ 4)(s+20) G(s) =- s'(s+100)(s+500) G(s)= K(s+10)(s + 20) K(s+1) G(s) =. (+2s+3s+1) K G(s) = s(s+10)(s+20) (a) Apply the Routh-Hurwitz criterion to determine the stability of the closed- loop system as function of K. (b) Determine the values of K that will cause sustained constant amplitude oscillations in the system. (c) Determine the frequency of oscillation.

Given the forward-path transfer function of a unity feedback control systems, K(s+ 4)(s+20) G(s) =- s'(s+100)(s+500) G(s)= K(s+10)(s + 20) K(s+1) G(s) =. (+2s+3s+1) K G(s) = s(s+10)(s+20) (a) Apply the Routh-Hurwitz criterion to determine the stability of the closed- loop system as function of K. (b) Determine the values of K that will cause sustained constant amplitude oscillations in the system. (c) Determine the frequency of oscillation.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 11 Given the forward-path transfer function of a unity feedback control systems, K(s+4)(s+ 20) G(s) =- s'(s+100)(s+500) K(s+10)(s+ 20) s(s+2) G(s) = K s(s+10)(s+20) K(s+1) G(s) =- G(s) =: (+2s +3s +1) (a) Apply the Routh-Hurwitz criterion to determine the stability of the closed- loop system as function of K. (b) Determine the values of K that will cause sustained constant amplitude oscillations in the system. (c) Determine the frequency of oscillation.
Transcribed Image Text:Problem 11 Given the forward-path transfer function of a unity feedback control systems, K(s+4)(s+ 20) G(s) =- s'(s+100)(s+500) K(s+10)(s+ 20) s(s+2) G(s) = K s(s+10)(s+20) K(s+1) G(s) =- G(s) =: (+2s +3s +1) (a) Apply the Routh-Hurwitz criterion to determine the stability of the closed- loop system as function of K. (b) Determine the values of K that will cause sustained constant amplitude oscillations in the system. (c) Determine the frequency of oscillation.
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