(b) Consider now the above discrete-time system in state space form given by 1 [x1( x2(. = + Lack 1)] = 6 27:@]+19]uck)

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B Consider Now The Above Discrete Time System In State Space Form Given By 1 X1 X2 Lack 1 6 27 19 Uck 1 (65.64 KiB) Viewed 44 times

(b) Consider now the above discrete-time system in state space form given by 1 [x1( x2(. = + Lack 1)] = 6 27:@]+19]uck) y(k) = [0 116 = 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, 22 = 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)