6. Consider the feedback system shown in Figure 5, The process transfer function is marginally stable. The controller is the proportional-derivative (PD) controller G(s) = K, + Kps . Determine if it is possible to find values of K, and K, such that the closed-loop system is stable, If so, obtain values of the controller parameters such that the steady-state tracking error E(s) = R(s)-Y(s) to a unit step input R(s) =1/s is e, = lim e(t) <0.1 and the damping of the closed-loop system is 5-2/2. Controller Process E(s) 4 R(s) Kp+ Kps ?+4 Y(s)

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 12.3P
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6. Consider the feedback system shown in Figure 5. The process transfer
function is marginally stable, The controller is the proportional-derivative
(PD) controller
G,(s) = K, +Kps.
Determine if it is possible to find values of K, and K, such that the
closed-loop system is stable. If so, obtain values of the controller parameters
such that the steady-state tracking error E(s) = R(s)-Y(s) to a unit step
input R(s) =1/s is e, = lim e(t) <0.1 and the damping of the closed-loop
system is 5=V2/2.
Controller
Process
E,(s)
4
R(s)
Kp+Kps
Y(s)
+4
erwe
Figure 5
Transcribed Image Text:6. Consider the feedback system shown in Figure 5. The process transfer function is marginally stable, The controller is the proportional-derivative (PD) controller G,(s) = K, +Kps. Determine if it is possible to find values of K, and K, such that the closed-loop system is stable. If so, obtain values of the controller parameters such that the steady-state tracking error E(s) = R(s)-Y(s) to a unit step input R(s) =1/s is e, = lim e(t) <0.1 and the damping of the closed-loop system is 5=V2/2. Controller Process E,(s) 4 R(s) Kp+Kps Y(s) +4 erwe Figure 5
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