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Equation (1) is the forward-path transfer function of a unity-feedback control system. Use root locus method to find K for 0.5 damping ratio and corresponding to complex conjugate dominant pole pair. K G(s) : ...(1) (s + 5)³

Equation (1) is the forward-path transfer function of a unity-feedback control system. Use root locus method to find K for 0.5 damping ratio and corresponding to complex conjugate dominant pole pair. K G(s) : ...(1) (s + 5)³

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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Equation (1) is the forward-path transfer function of a unity-feedback control system. Use root locus method to find K for 0.5 damping ratio and corresponding to complex conjugate dominant pole pair. K G(s) : ...(1) (s + 5)³
Transcribed Image Text:Equation (1) is the forward-path transfer function of a unity-feedback control system. Use root locus method to find K for 0.5 damping ratio and corresponding to complex conjugate dominant pole pair. K G(s) : ...(1) (s + 5)³
Expert Solution
Step 1

Write the open-loop transfer function and then write the value of poles and zeros.

Electrical Engineering homework question answer, step 1, image 1

Step 2

Plot the poles and zeros on the complex plane.

Electrical Engineering homework question answer, step 2, image 1

Step 3

Write the expression for the centroid.

Electrical Engineering homework question answer, step 3, image 1

Step 4

No of asymptotes =3

Find the angle of asymptotes.

Electrical Engineering homework question answer, step 4, image 1

Step 5

For damping ratio 0.5, draw a line from the origin with an angle 600.

As

Electrical Engineering homework question answer, step 5, image 1

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