Consider the state-feedback control system given by * = Ax + Bu u = Fx where 3 A = ,F =[-2 2] (a) Find the closed-loop system matrix: Enter closed-loop system matrix Show Instructions (b) The characteristic equation of the above closed-loop system matrix is of the form 12+ pA +q = 0. Find p and q: (c) Hence determine the stability of the above closed-loop system: O Stable Unstable Both of the above None of the above

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the state-feedback control system given by
* = Ax+ Bu
u = Fx
where
3
A =
B =
0.
21
,F [-2
-5
(a) Find the closed-loop system matrix:
Enter closed-loop system matrix
Show Instructions
(b) The characteristic equation of the above closed-loop system matrix is of the form
12+ pA +q = 0.
Find p and q:
p =
(c) Hence determine the stability of the above closed-loop system:
Stable
Unstable
Both of the above
None of the above
ONot answered
Transcribed Image Text:Consider the state-feedback control system given by * = Ax+ Bu u = Fx where 3 A = B = 0. 21 ,F [-2 -5 (a) Find the closed-loop system matrix: Enter closed-loop system matrix Show Instructions (b) The characteristic equation of the above closed-loop system matrix is of the form 12+ pA +q = 0. Find p and q: p = (c) Hence determine the stability of the above closed-loop system: Stable Unstable Both of the above None of the above ONot answered
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