A system is represented by the transfer function O a. The state variable representation is: O b. O C. O d. x(t) = 0 1 0 0 l-10.4 -47 y(t) = [160 56 14]x(t) x(t) = x(t) = 0 Y(s) 10.4 s² + 47s + 160 R(s) s³ + 14s² + 56s + 160 0 0 1 x(t) = 0 0 = 1 0 0 1 0 0 -14 -56 y(t) = [10.4 47 160]x(t) L L-160 -56 -14] y(t) = [10.4 47 160]x(t) 0 1 160 56 14] | x(e) + [₁]u(e) -160] 0 1 -160] Jx(1) + [fo]u(1) + 0 1 Jx(1) + [8]4(e) u(t) 10+10 1 x(t) + u(t) y(t) = [-10.4 -47 −160]x(t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 44E
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A system is represented by the transfer function
Y(s)
=
R(s)
The state variable representation is:
O a.
O b.
0 с.
O d.
x(t) =
1
0
0
1
-160
L-10.4 -47
y(t) = [160 56 14]x(t)
x(t) =
-L
0
0
l-14 -5
y(t) = [10.4 47 160]x(t)
1
0
x(t) =
0
0
0
x(t) =
1
0
0
10.4 s² + 47s + 160
s3 + 14s² + 56s + 160
0
1
Jx(c) + [8]u(e)
1 0
Jx(1) + folu(e)
-160 -56 -14]
y(t) = [10.4 47 160]x(t)
iJX(0) + Cu(O)
1
0
0 0
L160 56 14]
y(t) = [-10.4 -47 -160]x(t)
1 x(t) +0u(t)
-19 | ₁
Transcribed Image Text:A system is represented by the transfer function Y(s) = R(s) The state variable representation is: O a. O b. 0 с. O d. x(t) = 1 0 0 1 -160 L-10.4 -47 y(t) = [160 56 14]x(t) x(t) = -L 0 0 l-14 -5 y(t) = [10.4 47 160]x(t) 1 0 x(t) = 0 0 0 x(t) = 1 0 0 10.4 s² + 47s + 160 s3 + 14s² + 56s + 160 0 1 Jx(c) + [8]u(e) 1 0 Jx(1) + folu(e) -160 -56 -14] y(t) = [10.4 47 160]x(t) iJX(0) + Cu(O) 1 0 0 0 L160 56 14] y(t) = [-10.4 -47 -160]x(t) 1 x(t) +0u(t) -19 | ₁
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