Find the closed-loop, optimal control law u*(t) in terms of the states x* (t) as u* (t) = -KLQRX* (t) for the system and the performance index J = *₁(t) i₂(t) = = x₂(t) + u₁(t), u₂(t), √ [x²(t) + x²(t) + u²(t) + u²(t)] dt. Sketch the state-space block diagram showing the controller.

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Find the closed-loop, optimal control law u*(t) in terms of the states x* (t) as
u* (t) = −KLQRX*(t) for the system
and the performance index
J
=
*₁(t)
*₂(t)
=
=
x₂(t) + u₁(t),
u₂(t),
[ [x²{(t) + x²(t) + u²(t) + u²(t)] dt.
Sketch the state-space block diagram showing the controller.
Transcribed Image Text:Find the closed-loop, optimal control law u*(t) in terms of the states x* (t) as u* (t) = −KLQRX*(t) for the system and the performance index J = *₁(t) *₂(t) = = x₂(t) + u₁(t), u₂(t), [ [x²{(t) + x²(t) + u²(t) + u²(t)] dt. Sketch the state-space block diagram showing the controller.
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