A feedback control system has a characteristic equation s³+(1+K)s² +10s +(5+15K) = 0 The parameter K is positive. What is the maximum value of K can assume before the system becomes unstable? When K is equal to the maximum value, the system oscillates. Determine of the frequency of oscillation.

A feedback control system has a characteristic equation s³+(1+K)s² +10s +(5+15K) = 0 The parameter K is positive. What is the maximum value of K can assume before the system becomes unstable? When K is equal to the maximum value, the system oscillates. Determine of the frequency of oscillation.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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A feedback control system has a characteristic equation
s³ +(1+K)s² +10s +(5+15K) = 0
The parameter K is positive. What is the maximum value of K can assume before the
system becomes unstable? When K is equal to the maximum value, the system
oscillates. Determine of the frequency of oscillation.

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