A block diagram of a feedback control system is shown in Figure 2. The transfer functions 1 2. of the plant and the controller are, respectively, G(s) = and Gc(s) = K. Determine the (s+2)(s+4) value of K such that the system responds to a step input with a maximum overshoot of 10%. 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?
A block diagram of a feedback control system is shown in Figure 2. The transfer functions 1 2. of the plant and the controller are, respectively, G(s) = and Gc(s) = K. Determine the (s+2)(s+4) value of K such that the system responds to a step input with a maximum overshoot of 10%. 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?
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
![2.
A block diagram of a feedback control system is shown in Figure 2. The transfer functions
1
of the plant and the controller are, respectively, G(s) =
and Gc(s) = K. Determine the
(s+2)(s+4)
value of K such that the system responds to a step input with a maximum overshoot of 10%. 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71fa5dd0-ab40-43bd-96e3-61ad05e43984%2Fb34a5817-42e8-4c6c-a4aa-d639f022a03e%2Fyhx5cz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.
A block diagram of a feedback control system is shown in Figure 2. The transfer functions
1
of the plant and the controller are, respectively, G(s) =
and Gc(s) = K. Determine the
(s+2)(s+4)
value of K such that the system responds to a step input with a maximum overshoot of 10%. 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)
C(s)
Ge(s)
G(s)
Figure 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71fa5dd0-ab40-43bd-96e3-61ad05e43984%2Fb34a5817-42e8-4c6c-a4aa-d639f022a03e%2Foa0or2e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:R(s)
C(s)
Ge(s)
G(s)
Figure 2
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