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

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.4P

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Question

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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