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A feedback control system is represented by its transfer function: a T(s)=- s'+(1+ K)s² +10s + (5+15K) where parameter a is a positive constant, and parameter K must also be positive. (a) Find the maximum value K can assume before the system becomes unstable (b) When K is equal to this maximum value, the system oscillates. Determine the frequency of oscillation. Can this frequency be called natural frequency?

A feedback control system is represented by its transfer function: a T(s)=- s'+(1+ K)s² +10s + (5+15K) where parameter a is a positive constant, and parameter K must also be positive. (a) Find the maximum value K can assume before the system becomes unstable (b) When K is equal to this maximum value, the system oscillates. Determine the frequency of oscillation. Can this frequency be called natural frequency?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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A feedback control system is represented by its transfer function: a T(s)=- s'+(1+ K)s² +10s + (5+15K) where parameter a is a positive constant, and parameter K must also be positive. (a) Find the maximum value K can assume before the system becomes unstable (b) When K is equal to this maximum value, the system oscillates. Determine the frequency of oscillation. Can this frequency be called natural frequency?
Transcribed Image Text:A feedback control system is represented by its transfer function: a T(s)=- s'+(1+ K)s² +10s + (5+15K) where parameter a is a positive constant, and parameter K must also be positive. (a) Find the maximum value K can assume before the system becomes unstable (b) When K is equal to this maximum value, the system oscillates. Determine the frequency of oscillation. Can this frequency be called natural frequency?
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