Design a proportional controller for the following function shown in Figure Q2(a) by determining the appropriate K, and desired closed loop poles given damping ratio = 0.52. R(s) Kp R(s) Figure Q2(a) 1/5 (s + 0.5) (s + 0.3) (12 marks) Design a proportional integral derivative (PID) controller for the following function shown in Figure Q2(b) by determining Kp. Ti and Ta for the PID controller. PID Controller 1 s(s+ 1)(s + 5) Figure Q2(b) Y(s) (13 marks) Y(s)