13.10 Design a LQ optimal first order compensator for the double integrator y(t) = u(t) = using the cost functional 1 =
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13.10 Design a LQ optimal first order compensator for the double integrator y(t) = u(t) = using the cost functional 1 =
13.10 Design a LQ optimal first order compensator for the double integrator y(t) = u(t) = using the cost functional 1 = ue $.* [y?t) +p(u(t)*]dt. I= + . Determine the compensator and closed-loop spectrum as a function of p and their behavior as p → 0 and p = 0. Also determine the gain and phase margins of the closed-loop system at the input to the plant and study their behavior as p +0 and p → 0.
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