Solve on paper Consider the following state-space representation 21 A = [ ] B = C= 0]. 1- The transfer function G(s) is a) G(S)=2+4+3 1) G(s) = $2-45+3 2- The state equation in observer canonical form is a) x = [] + [u น 3- The system in the above state-space is b)=3+ น a) observable and controllable b) neither observable nor controllable 4- The system is a) Stable b) Unstable b) 0(t)= [0.5(e³t + e²) 0.5(e³t — e²)] L0.5(este) 0.5(e³t + e²)] 5- The state transition matrix in time domain is a) Ø(t) = [0.5 (ee) 0.5 (e-st-e-)] L0.5(ee) 0.5 (e-3 + e-')] 6- The state response if a unit step applied is a) x(t) = est +. est 3t + b) x(t) = est

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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Solve on paper
Consider the following state-space representation
21
A = [ ] B = C= 0].
1- The transfer function G(s) is
a) G(S)=2+4+3
1) G(s) =
$2-45+3
2- The state equation in observer canonical form is
a) x = [] + [u
น
3- The system in the above state-space is
b)=3+ น
a) observable and controllable b) neither observable nor controllable
4- The system is
a) Stable
b) Unstable
b) 0(t)=
[0.5(e³t + e²) 0.5(e³t — e²)]
L0.5(este) 0.5(e³t + e²)]
5- The state transition matrix in time domain is
a) Ø(t) =
[0.5 (ee) 0.5 (e-st-e-)]
L0.5(ee) 0.5 (e-3 + e-')]
6- The state response if a unit step applied is
a) x(t) =
est +.
est
3t +
b) x(t) =
est
Transcribed Image Text:Solve on paper Consider the following state-space representation 21 A = [ ] B = C= 0]. 1- The transfer function G(s) is a) G(S)=2+4+3 1) G(s) = $2-45+3 2- The state equation in observer canonical form is a) x = [] + [u น 3- The system in the above state-space is b)=3+ น a) observable and controllable b) neither observable nor controllable 4- The system is a) Stable b) Unstable b) 0(t)= [0.5(e³t + e²) 0.5(e³t — e²)] L0.5(este) 0.5(e³t + e²)] 5- The state transition matrix in time domain is a) Ø(t) = [0.5 (ee) 0.5 (e-st-e-)] L0.5(ee) 0.5 (e-3 + e-')] 6- The state response if a unit step applied is a) x(t) = est +. est 3t + b) x(t) = est
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