Problem 4 (20 points) Consider following discrete time system x(k+1)=( s )x(k) + (7) u(k), y(k) = (3 0) (k). = -1.5 It i
Posted: Sun May 15, 2022 7:02 pm
Problem 4 (20 points) Consider following discrete time system x(k+1)=( s )x(k) + (7) u(k), y(k) = (3 0) (k). = -1.5 It is desired to place the closed loop poles at 21 = -0.5 and 22 = -0.8 by using a state feedback control u(k) = -Kî (k) where î (k) is the observed state. The observer gain matrix should be chosen such that the observer poles are at 201 0.3 and 802 0.3. Determine the control gain K and the observer gain matrix. Present the obtained observer equation. =