Please try to solve in one hour 5. Consider a feedback controller structure shown in Figure Q5, where the feedbackcontroller is C(s) = 1+,K 2 0, and the plant to be controlled is P(s) =3s+3D(s)R(s)E(s)Y (s)C(s)P(s)Figure Q5 System block diagram.(a) Obtain the transfer function from D(s) to E(s);(b) Obtain the transfer function from R(s) to E(s);(c) Identify the type number of the system from D(s) to E (s) and determine the range ofK such that the steady-state error ess of a step response is below 0.01.(d) Sketch the root loci of the system when the controller gain K varies from 0 to co.

Answered: feedback controller structure shown

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feedback controller structure shown

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Please try to solve in one hour

5. Consider a feedback controller structure shown in Figure Q5, where the feedback
controller is C(s) = 1+,K 2 0, and the plant to be controlled is P(s) =
3
s+3
D(s)
R(s)
E(s)
Y (s)
C(s)
P(s)
Figure Q5 System block diagram.
(a) Obtain the transfer function from D(s) to E(s);
(b) Obtain the transfer function from R(s) to E(s);
(c) Identify the type number of the system from D(s) to E (s) and determine the range of
K such that the steady-state error ess of a step response is below 0.01.
(d) Sketch the root loci of the system when the controller gain K varies from 0 to co.

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