Consider the discrete system: d sidllo ald dellotno 1 X; (k +1) [x2(k+1)] X1 (k)] u(k) %3D 1 1 X2 (k)] 4 4. x, (k)] x,(k)] y(k) =[1 -1] -4u(k) The system given above is (a) Controllable and observable (b) Uncontrollable and unobservable (c) Uncontrollable and observable (d) Controllable and unobservable

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Consider the following state equations for a
discrete system:
[x, (k +1)]
X2 (k +1).
x,(k)]
1 x2(k)
u(k)
1
4
4
y(k) = [1 -1]
[x, (k)]
|- 4u(k)
X2(k)]
The system given above is
(a) Controllable and observable
(b) Uncontrollable and unobservable
(c) Uncontrollable and observable
d) Controllable and unobservable
Transcribed Image Text:Consider the following state equations for a discrete system: [x, (k +1)] X2 (k +1). x,(k)] 1 x2(k) u(k) 1 4 4 y(k) = [1 -1] [x, (k)] |- 4u(k) X2(k)] The system given above is (a) Controllable and observable (b) Uncontrollable and unobservable (c) Uncontrollable and observable d) Controllable and unobservable
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