1. Consider the simple first-order model described by * = ax + bu, y=cx with a=-2,b=2,c=1. A closed-loop system has been designed through feedback and integral control. The state feedback has the form: u=-K (11 l+kar Where K = [k, kz] and x; = y-r. The closed-loop system has a pole in s=-6 and another pole in s=-8. (Hint x;=x-r and write [41-4[] + ...) a) Represent the block diagram of the closed-loop system (starting from the block diagram of the state-space representation); b) Compute K; c) Represent the time response of the closed-loop system to a step input (in Simulink). 1. Consider the simple first-order model described by * = ax + bu, y=cx with a=-2,b=2,c=1. A closed-loop system has been designed through feedback and integral control. The state feedback has the form: u=-K (11 l+kar Where K = [k, kz] and x; = y-r. The closed-loop system has a pole in s=-6 and another pole in s=-8. (Hint x;=x-r and write [41-4[] + ...) a) Represent the block diagram of the closed-loop system (starting from the block diagram of the state-space representation); b) Compute K; c) Represent the time response of the closed-loop system to a step input (in Simulink)