C[SI-CA-BC) SI-(A-BC)]-0 3. (30 points) For the open-loop plant obtained by using a sampling time of T=0.2, shown below: x(k+1)=0.1377] x(k) +[133]u(k) 0.4493) y(k) = [10]x(k) Find the gain matrix, G, for a state estimator of the form: 0.1337 q(k+1)=(AGC)q(k) + Gy(k) + Bu(k) that satisfies the following performance criteria: T₁ = 2 sec <= 1.0