Consider the system å = Ax + Bu, y= Cx with 1 -1 2 A = 1 -1 B = 2 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}. âæ is the...

Extracted text: Consider the system å = Ax + Bu, y= Cx with 1 -1 2 A = 1 -1 B = 2 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}. âæ is the estimated value of x obtained using the below observer design specifications: (I) ââ 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