A feedback control system has the open-loop transfer

Chapter 11, Problem 11.20

(choose chapter or problem)

A feedback control system has the open-loop transfer function, \(G_{OL}(s)=0.5K_ce^{-3s}/(10s+1)\). Determine the values of \(K_c\) for which the closed-loop system is stable using two approaches.

(a) An approximate analysis using the Routh stability criterion and a  Padé approximation for \(e^{-3s}\).

(b) An exact analysis based on substitution of \(s=j \omega\). (Hint: Recall Euler's identity,)

Equation Transcription:

Text Transcription:

G_{OL}(s)=0.5K_ce^{-3s}/(10s+1)

e^{-3s}

s=j omega

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