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)
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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57fa1d65-ca46-4e47-a226-801185484a3c%2F267a32c3-832c-4fae-9793-1234998ead87%2Fgei29fj_processed.png&w=3840&q=75)
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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