A system is represented by the transfer function

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
A system is represented by the transfer function
Y(s)
R(s)
The state variable representation is:
a.
O b.
Ú
Ó
-1 0 0
<X=[-
c. x' (t) = 0 -2 0 x(t) +0u(t)
0 -3.
+0|u(t)
y(t) = [1 0 1]x(t)
d. x' (t) =
0
b. x'(t) =
@-
y(t) = [0 1
[-2
= T(S) =
-3 0 0
0 -3 0 x(t) +
0 -3]
0
y(t) = [0 1
(s + 3)
(s³ + 6s² + 12s + 8)
-1]x(t)
0
0
0 -2
0 x(t) + u(t)
0
0 -2]
+ [o|u(t)
-1]x(t)
-1 0 0
•x----
a. x'(t) = 0 -1 0 x(t) + +0
0
0
y(t) = [01-1]x(t)
que
Transcribed Image Text:A system is represented by the transfer function Y(s) R(s) The state variable representation is: a. O b. Ú Ó -1 0 0 <X=[- c. x' (t) = 0 -2 0 x(t) +0u(t) 0 -3. +0|u(t) y(t) = [1 0 1]x(t) d. x' (t) = 0 b. x'(t) = @- y(t) = [0 1 [-2 = T(S) = -3 0 0 0 -3 0 x(t) + 0 -3] 0 y(t) = [0 1 (s + 3) (s³ + 6s² + 12s + 8) -1]x(t) 0 0 0 -2 0 x(t) + u(t) 0 0 -2] + [o|u(t) -1]x(t) -1 0 0 •x---- a. x'(t) = 0 -1 0 x(t) + +0 0 0 y(t) = [01-1]x(t) que
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