Question: A feedback system has a state-space representation *(1) = [ x(t -75 0] x(t) + [0] u(t) y(t) = [0_3600] x(t), where the feedback is

A feedback system has a state-space representation

*(1) = [ x(t -75 0] x(t) + [0] u(t) y(t) =

*(1) = [ x(t -75 0] x(t) + [0] u(t) y(t) = [0_3600] x(t), where the feedback is u(t) = -Kx + r(t). The control system design specifications are: (i) the overshoot to a step input approximately P.O. 6%, and (ii) the settling time T, = 0.1 s. A state variable feedback gain matrix which satisfies the specifications is: == a. K = [10 200] b. K [6 3600] === c. K = [3600 10] d. K = [100 40]

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