Question: For the first order system x(t) = ax(t) + bu(t) find the optimal open-loop and closed-loop control to minimize the performance index 1 J

For the first order system x(t) = ax(t) + bu(t) find the

For the first order system x(t) = ax(t) + bu(t) find the optimal open-loop and closed-loop control to minimize the performance index 1 J = [ [qx (1) + ru (1)]dt 2 where tf is unspecified, x(0) = xo and x(t) = 0. Also, find tf. No need to calculate J in any problem. In closed-loop control, you need to calculate the Riccati coefficient matrix.

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