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(b) Consider now the above discrete-time system in state space form given by 1 [x10k + 1)] [x2(k + 1). = + #1]=G ] 1 09]
Posted: Wed Apr 27, 2022 5:53 pm
by answerhappygod
- B Consider Now The Above Discrete Time System In State Space Form Given By 1 X10k 1 X2 K 1 1 G 1 09 1 (62.72 KiB) Viewed 28 times
(b) Consider now the above discrete-time system in state space form given by 1 [x10k + 1)] [x2(k + 1). = + #1]=G ] 1 09] [;] + luck) y(K) = [0 16:) = i) ii) = Verify that this discrete-time state space system can be stabilised by a feedback controller. 3 marks Design a state feedback controller u(k) = -Kx(k), such that the closed-loop system poles are placed at 21 = 0.05, 12 = 0.12 5 marks Transform the closed-loop state-space system into transfer function form (from the reference signal r to the output y), and determine the steady state value of the output using a unit step input r(k). 4 marks iii)