Consider the following feedback control system. The plant transfer function is: 1 as+b P(s) Consider a controller C(s) The desired closed-loop poles are at p1 = s2+3s+1 cs+d -30, P2,3 = -3±j4. (a) What is the expression of the actual closed-loop characteristic equation obtained based on P(s) and C(s)? (b) What is the expression of the desired closed-loop characteristic equation obtained based on the desired closed-loop pole locations p1 and p2,3? (c) What are the values of a, b, c, and d such that the closed-loop poles are at the desired locations? R(s) C(s) P(s) Y(s) Controller Plant
Consider the following feedback control system. The plant transfer function is: 1 as+b P(s) Consider a controller C(s) The desired closed-loop poles are at p1 = s2+3s+1 cs+d -30, P2,3 = -3±j4. (a) What is the expression of the actual closed-loop characteristic equation obtained based on P(s) and C(s)? (b) What is the expression of the desired closed-loop characteristic equation obtained based on the desired closed-loop pole locations p1 and p2,3? (c) What are the values of a, b, c, and d such that the closed-loop poles are at the desired locations? R(s) C(s) P(s) Y(s) Controller Plant
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:Consider the following feedback control system. The plant transfer function is:
1
as+b
P(s) =
Consider a controller C(s)
The desired closed-loop poles are at p1 =
s2+3s+1
cs+d
-30, P2.3 = -3±j4.
(a) What is the expression of the actual closed-loop characteristic equation obtained based on P(s) and
C(s)?
(b) What is the expression of the desired closed-loop characteristic equation obtained based on the
desired closed-loop pole locations pį and p2,3?
(c) What are the values of a, b, c, and d such that the closed-loop poles are at the desired locations?
R(s)
C(s)
P(s)
Y(s)
Controller
Plant
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