QVA continues-time linear control system is described by -2 * (t) = [ ²/3 - 6] x (t) + [ 1 ] u(t). 5 -6 y(t) = [11] x(t), Where u, x, and y, are the input, the state, and the output variables, respectively Note: Show all your work clearly without skipping steps. 1) Check the controllability and observability of the system. 2) Design a state-feedback control (find the state feedback gain and final control system representation), such that the closed-loop poles at -6±j4.

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QVA continues-time linear control system is described by
-2
* (t) = [~ ² - 6] x (t) + [b] u(t).
|
5-6
y(t) = [11] x(t),
Where u, x, and y, are the input, the state, and the output variables, respectively
Note: Show all your work clearly without skipping steps.
1) Check the controllability and observability of the system.
2) Design a state-feedback control (find the state feedback gain and final control system
representation), such that the closed-loop poles at -6±j4.
Transcribed Image Text:QVA continues-time linear control system is described by -2 * (t) = [~ ² - 6] x (t) + [b] u(t). | 5-6 y(t) = [11] x(t), Where u, x, and y, are the input, the state, and the output variables, respectively Note: Show all your work clearly without skipping steps. 1) Check the controllability and observability of the system. 2) Design a state-feedback control (find the state feedback gain and final control system representation), such that the closed-loop poles at -6±j4.
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