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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)
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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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?
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