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A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable;

A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable;

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.
G(s) = K s + 10 s(s+ 5)
Transcribed Image Text:G(s) = K s + 10 s(s+ 5)
Expert Solution
Step 1: what is given and what to do:

Given:

Unity feedback open loop transfer function, 

G open parentheses s close parentheses equals K fraction numerator s plus 10 over denominator s open parentheses s plus 5 close parentheses end fraction,

To do:

a) sketch root locus.

b) determine the range of K for the system to be stable. 

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