Question: P11.4 Consider the system x(t) =[ABK]x(t) = Hx(t), 0 1 where H = Determine the feedback gain -k -k k that minimizes the performance index

P11.4 Consider the system

x(t) =[ABK]x(t) = Hx(t), 0 1 where H = Determine the feedback

x(t) =[ABK]x(t) = Hx(t), 0 1 where H = Determine the feedback gain -k -k k that minimizes the performance index J = x(t)x(t)dt when x(0) = 2, -1]. Plot the performance index J versus the gain k.

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