CONTROL SYSTEM ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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CONTROL SYSTEM ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).

1
A block diagram of a feedback control system is shown in Fig. 1. The transfer
and Ge(s) = K.
(s+2)(5+4)
functions of the plant and the controller are, respectively, G(s) =
Determine the value of K such that the closed-loop system responds to a step input with a
maximum overshoot of 20%. Also find the settling time, peak time and rise time of the closed-
loop system, corresponding to the obtained K value. What are the effects of increasing the
value of K on the overshoot and the settling time?
R(S)
Gc(s)
G(s)
C(s)
Fig. 1
Transcribed Image Text:1 A block diagram of a feedback control system is shown in Fig. 1. The transfer and Ge(s) = K. (s+2)(5+4) functions of the plant and the controller are, respectively, G(s) = Determine the value of K such that the closed-loop system responds to a step input with a maximum overshoot of 20%. Also find the settling time, peak time and rise time of the closed- loop system, corresponding to the obtained K value. What are the effects of increasing the value of K on the overshoot and the settling time? R(S) Gc(s) G(s) C(s) Fig. 1
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