feedback controller structure shown

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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.
Transcribed Image Text: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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