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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Author:Robert L. Boylestad
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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?
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
Transcribed Image Text:R(s) C(s) Ge(s) G(s) Figure 2
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