AP11 8 Consider the system x(t) Ax(t) Bu(t) where 1 1 6 0 0 A 0 0 1 and B 0 00 11 8 8333 0 (a) Design a state variable controller using only x (1) as the feedback variable, so that the step response has a percent overshoot of P O 10 and a settling time (with a 2 criterion) of T, 5 s (b) Design a state vari able controller feedback using two state variables, level x1 (1) and shaft position x2 (1), to satisfy the specifica tions of part (a) (c) Compare the results of parts (a) and (b)

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AP11 8 Consider the system x(t)   Ax(t)   Bu(t) where  1 1 6 0 0 A   0 0 1 and B   0 00 11 8 8333 0 (a) Design a state variable controller using only x (1) as the feedback variable, so that the step response has a percent overshoot of P O   10  and a settling time (with a 2  criterion) of T, 5 s  (b) Design a state vari  able controller feedback using two state variables, level x1 (1) and shaft position x2 (1), to satisfy the specifica  tions of part (a)  (c) Compare the results of parts (a) and (b)

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Question: AP11.8 Consider the system x(t) = Ax(t) + Bu(t) where -1 1.6 0 0 A = 0 0 1 and B = 0 00-11.8 8333.0

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