- B Consider Now The Above Discrete Time System In State Space Form Given By X1 K 1 X2 K 1 K 11 0 9 1 (61.8 KiB) Viewed 19 times
(b) Consider now the above discrete-time system in state space form given by [x1(k + 1) [x2(k + 1). ) (k ] = 11 = 0.9] [x;(*] +G]u[) y(k) = [0 110;(*) y01] = 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 11 = 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)