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Figure S2 shows a closed loop control system with proportional control gain K. A system 1 Transfer function is given as G(s) = s(s +1)(s+2) * R(s) C(s) K G(s) Ca) Develop root locus for system G(s). Indicate and briefly explain the procedures to develop the root locus. (b) Estimate the value of gain K such that the step response of the close loop system has a relative damping ratio, = 0.6

Figure S2 shows a closed loop control system with proportional control gain K. A system 1 Transfer function is given as G(s) = s(s +1)(s+2) * R(s) C(s) K G(s) Ca) Develop root locus for system G(s). Indicate and briefly explain the procedures to develop the root locus. (b) Estimate the value of gain K such that the step response of the close loop system has a relative damping ratio, = 0.6

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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QUESTION 2 Figure S2 shows a closed loop control system with proportional control gain K. A system 1 transfer function is given as G(s): s(s + 1)(s + 2) R(s) + C(s) K G(s) (a) Develop root locus for system G(s). Indicate and briefly explain the procedures to develop the root locus. (b) Estimate the value of gain K such that the step response of the close loop system has a relative damping ratio, 5 = 0.6 (c) With damping ratio and value of the gain K obtained in part (b), determine the following parameters; i Peak time, Tp. i1. Settling time, Ts. 1ii. Percent overshoot, %OS.
Transcribed Image Text:QUESTION 2 Figure S2 shows a closed loop control system with proportional control gain K. A system 1 transfer function is given as G(s): s(s + 1)(s + 2) R(s) + C(s) K G(s) (a) Develop root locus for system G(s). Indicate and briefly explain the procedures to develop the root locus. (b) Estimate the value of gain K such that the step response of the close loop system has a relative damping ratio, 5 = 0.6 (c) With damping ratio and value of the gain K obtained in part (b), determine the following parameters; i Peak time, Tp. i1. Settling time, Ts. 1ii. Percent overshoot, %OS.
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