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(b) Consider now the above discrete-time system in state space form given by [x1(k + 1)] [x2(k + 1) ) X2 13] = 6 0.9] [;
Posted: Wed Apr 27, 2022 5:55 pm
by answerhappygod
- B Consider Now The Above Discrete Time System In State Space Form Given By X1 K 1 X2 K 1 X2 13 6 0 9 1 (67.91 KiB) Viewed 26 times
(b) Consider now the above discrete-time system in state space form given by [x1(k + 1)] [x2(k + 1) ) X2 13] = 6 0.9] [;] +0]uck ] [() y(k) = [0 162X3] 11 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 λι : 저 = 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