Control system design by the pole placement Consider the type 1 shown in Figure 2. The system state space model is given: x = Ax+ Bu y=Cx where 0 1 01 [0] A=0 0 1 B=0 and C=[100] [0 -5 -6] 1. Determine the stability of the uncompensated system. 2. Determine the controllability of uncompensated system. (1) 3. Determine the state-feedback gain matrix K such that the closed-loop poles are located at s=-2± j4,s=-10. y=xj ki x=Ax + Bu y=Cx x2 k2 k3 X3 Figure 2