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The block diagram shown in Figure Q6 is used Proportional controller to control a motor speed in a belt conveyor system. The plant transfer function is given by: 1 Gp(s) = (s² + 6s + 8) R(s) + C(s) Кр Gp(s) Figure Q6 (i). Develop the transfer function. (ii). Evaluate whether the closed loop system is stable for control gain Kp= 2. (iii). Compute the controller gain Kp so that step response shows 25% overshoot. (iv). Estimate the settling time for a step response input if the controller gain Kp = 0.5. %3D

The block diagram shown in Figure Q6 is used Proportional controller to control a motor speed in a belt conveyor system. The plant transfer function is given by: 1 Gp(s) = (s² + 6s + 8) R(s) + C(s) Кр Gp(s) Figure Q6 (i). Develop the transfer function. (ii). Evaluate whether the closed loop system is stable for control gain Kp= 2. (iii). Compute the controller gain Kp so that step response shows 25% overshoot. (iv). Estimate the settling time for a step response input if the controller gain Kp = 0.5. %3D

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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The block diagram shown in Figure Q6 is used Proportional controller to control a motor speed in a belt conveyor system. The plant transfer function is given by: 1 G„(s) (s2 + 6s + 8) R(s) + C(s) Kp Gp(s) Figure Q6 (i). Develop the transfer function. (ii). Evaluate whether the closed loop system is stable for control gain Kp= 2. (iii). Compute the controller gain Kp so that step response shows 25% overshoot. (iv). Estimate the settling time for a step response input if the controller gain Кр 3D 0.5.
Transcribed Image Text:The block diagram shown in Figure Q6 is used Proportional controller to control a motor speed in a belt conveyor system. The plant transfer function is given by: 1 G„(s) (s2 + 6s + 8) R(s) + C(s) Kp Gp(s) Figure Q6 (i). Develop the transfer function. (ii). Evaluate whether the closed loop system is stable for control gain Kp= 2. (iii). Compute the controller gain Kp so that step response shows 25% overshoot. (iv). Estimate the settling time for a step response input if the controller gain Кр 3D 0.5.
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