PLEASE WRITE CLEARLY AND ANSWER ALL PARTS.

IF USING MATLAB, PLEASE PROVIDE CODE. THANK YOU

Consider the system P1(s) = -0.2s + 1 S2 + 3 + 4 3 1. Design a PID controller to achieve a bandwidth of 0.5Hz, 50deg phase margin. 2. If an additive measurable disturbance enters the plant output with transfer function G(s) = Design a feedforward component for the PID controller to reduce the effect of the disturbance on the output using the nave approach. 0.3s +1 Consider the system P1(s) = -0.2s + 1 S2 + 3 + 4 3 1. Design a PID controller to achieve a bandwidth of 0.5Hz, 50deg phase margin. 2. If an additive measurable disturbance enters the plant output with transfer function G(s) = Design a feedforward component for the PID controller to reduce the effect of the disturbance on the output using the nave approach. 0.3s +1