R(s) 1 + Ks s(s+1) C(s) Plot the root locus diagram concerning the changes of the K (derivative gain) of the system given below. Make the system give a critically damped response, evaluate the value of K.

R(s) 1 + Ks s(s+1) C(s) Plot the root locus diagram concerning the changes of the K (derivative gain) of the system given below. Make the system give a critically damped response, evaluate the value of K.

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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Question

1.
R(s)
+ A
1 + Ks
10
s(s+1)
C(s)
Plot the root locus diagram concerning the changes of the K (derivative gain) of the system given
below. Make the system give a critically damped response, evaluate the value of K.

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Step 1: Given information to draw the root locus.

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Step 2: Determination of the simplified form of loop transfer function.

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Step 3: Determination of open-loop poles, zeros, number of root locus branches and number of asymptotes.

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Step 4: Determination of centroid and angle of asymptotes.

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Step 5: Determination of break-away point and angle of departure.

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Step 6: Drawing the complete root locus.

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Step 7: Determination of the value of gain K.

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Solution

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