(b) Consider now the above discrete-time system in state space form given by #) 11 [ck + 1)]=G JEW]+Q]uck) y(x) = [o 17;
Posted: Wed Apr 27, 2022 5:57 pm
(b) Consider now the above discrete-time system in state space form given by #) 11 [ck + 1)]=G JEW]+Q]uck) y(x) = [o 17;&] i) ii) Lxz( 0.9) [(k) (k 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 1 = 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)