Problem 3 (20 points) Consider a discrete time system defined by ki x(k+1)=(-1.5 1) «(k)+()u(k), y(k) = (3 0)x(k) = K-(K

[answerhappygod]

Problem 3 20 Points Consider A Discrete Time System Defined By Ki X K 1 1 5 1 K U K Y K 3 0 X K K K 1 (59.42 KiB) Viewed 60 times

Problem 3 (20 points) Consider a discrete time system defined by ki x(k+1)=(-1.5 1) «(k)+()u(k), y(k) = (3 0)x(k) = K-(K) = = where x(k) = (x1(k) x2(k)). It is desired to have characteristic roots of the closed loop system at -0.5 and -0.8 by using a state feedback control u(k) =(kor(k) – K x(k), where r(k) is the reference input. Determine the control gain K and the control signal u(k). Calculate k, such that the steady state error of a unit step response is zero.