Consider the system i = Ax + Bu, y = Cx with 1 -1 A 1 -1 ,B = ,C = [1 0 0] 1 1 3 Design a controller K such that the control input u = -Kâ places the poles of A – BK at {-2, –1±j} . âx is the...

Solve Q11 only

Extracted text: Consider the system i = Ax + Bu, y = Cx with 1 -1 A 1 -1 ,B = ,C = [1 0 0] 1 1 3 Design a controller K such that the control input u = -Kâ places the poles of A – BK at {-2, –1±j} . âx is the estimated value of x obtained using the below observer design specifications : (I) â is the state of a full-order observer whose poles are located at {-5, –4, –3}. 10)Total number of state variables in the output- feedback (comprising the plant and the observer) system defined by (1) are 11)Let K = [k1 k2 k3] be the controller gain. k3 %3D