4 N(s)=D(s)=0. The plant transfer function is: P(s) Consider a Proportional (P) Control (2s+1)(0.5s+1) C(s) = Kp. (a) What is the closed-loop transfer function? What are the expressions of the closed-loop poles? (b) What is the allowed region of the closed-loop poles on the complex plane such that the %OS is less than 10% and that the 2% settling time is less than 6 sec? What is the corresponding range of Kp? со (c) Plot the step response of the closed-loop system when Kp = 0.5. (d) Does the response obtained in (c) satisfy the requirements in (b)? Is the steady-state error zero? Disturbance D(s) Actuating Signal EA(s) Reference Control Output Input R(s) Input Y(s) + F(s) C(s) P(s) U(s) + Pre-filter Controller Plant H(s) + Noise N(s)
4 N(s)=D(s)=0. The plant transfer function is: P(s) Consider a Proportional (P) Control (2s+1)(0.5s+1) C(s) = Kp. (a) What is the closed-loop transfer function? What are the expressions of the closed-loop poles? (b) What is the allowed region of the closed-loop poles on the complex plane such that the %OS is less than 10% and that the 2% settling time is less than 6 sec? What is the corresponding range of Kp? со (c) Plot the step response of the closed-loop system when Kp = 0.5. (d) Does the response obtained in (c) satisfy the requirements in (b)? Is the steady-state error zero? Disturbance D(s) Actuating Signal EA(s) Reference Control Output Input R(s) Input Y(s) + F(s) C(s) P(s) U(s) + Pre-filter Controller Plant H(s) + Noise N(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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Transcribed Image Text:4
N(s)=D(s)=0. The plant transfer function is: P(s) =
Consider a Proportional (P) Control
(2s+1)(0.5s+1)
C(s) = Kp.
(a) What is the closed-loop transfer function? What are the expressions of the closed-loop poles?
(b) What is the allowed region of the closed-loop poles on the complex plane such that the %OS is less
than 10% and that the 2% settling time is less than 6 sec? What is the corresponding range of Kp?
(c) Plot the step response of the closed-loop system when K, = 0.5.
(d) Does the response obtained in (c) satisfy the requirements in (b)? Is the steady-state error zero?
Disturbance D (s)
Actuating
Signal
EA(S)
Reference
Control
Output
Input R(s)
Input
Y(s)
F (s)
C(s)
P(s)
U(s) +
Pre-filter
Controller
Plant
+
H(s)
+
Noise N(s)
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