Consider the transfer function 6s² + 6s +12 3s² +9s +6 Which one of the following state-space representation corresponds to the observable canonical form? G(s) = a. b. d. e. Of *(t)=[₂]x) + [H]u(t)._y(t) = [4_−8]x(t) + 2u(t) *-[x+[Jut). y(t) = [01]x(t) + 2u(t) *)=x+ [12]u(t), y(t) = [0 1]x(t) + 6u(t) *(t)=[₂13]xt) + [q]u(t), y(t) = [0-4]x(t) + 2u(t) 9. *) = [% 1,]x + [q]ut), _y() -[_12_ _6]x() +6u(t) *(t)- 3x + []u(t), y(t) = [0 1]x(t) + 2u(t) None
Consider the transfer function 6s² + 6s +12 3s² +9s +6 Which one of the following state-space representation corresponds to the observable canonical form? G(s) = a. b. d. e. Of *(t)=[₂]x) + [H]u(t)._y(t) = [4_−8]x(t) + 2u(t) *-[x+[Jut). y(t) = [01]x(t) + 2u(t) *)=x+ [12]u(t), y(t) = [0 1]x(t) + 6u(t) *(t)=[₂13]xt) + [q]u(t), y(t) = [0-4]x(t) + 2u(t) 9. *) = [% 1,]x + [q]ut), _y() -[_12_ _6]x() +6u(t) *(t)- 3x + []u(t), y(t) = [0 1]x(t) + 2u(t) None
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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STATE SPACE VALUE( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).
![Consider the transfer function
6s² + 6s +12
3s² +9s +6
Which one of the following state-space representation corresponds to the observable canonical form?
G(s) =
a.
b.
C.
d.
e.
Of
*(t)=[₂]x) + [H]u(t)._y(t) = [4 −8]x(t) + 2u(t)
*)=[x+[Ju(t), y(t) = [01]x(t) + 2u(t)
y(t) = [0
_y(© = [0
*(t)-[1]xt) + [u(t),
y(t)-[-12
−6]x(t) + 6u(t)
*(t)- 3x + [4]u(t), y(t) = [0 1]x(t) + 2u(t)
9.
* = []x+[12]u(t),
x(t) = [, 1g]x© + [q]ut),
None
=
1]x(t) + 6u(t)
-4]x(t) + 2u(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8fa6a66-eb5a-48e4-9b45-07098ecf6f3f%2F6d05c887-0080-4704-bb14-d302881bd5eb%2Fim2q9xq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the transfer function
6s² + 6s +12
3s² +9s +6
Which one of the following state-space representation corresponds to the observable canonical form?
G(s) =
a.
b.
C.
d.
e.
Of
*(t)=[₂]x) + [H]u(t)._y(t) = [4 −8]x(t) + 2u(t)
*)=[x+[Ju(t), y(t) = [01]x(t) + 2u(t)
y(t) = [0
_y(© = [0
*(t)-[1]xt) + [u(t),
y(t)-[-12
−6]x(t) + 6u(t)
*(t)- 3x + [4]u(t), y(t) = [0 1]x(t) + 2u(t)
9.
* = []x+[12]u(t),
x(t) = [, 1g]x© + [q]ut),
None
=
1]x(t) + 6u(t)
-4]x(t) + 2u(t)
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