Consider a process given below to be controlled by a PID controller,Gp(s) = 400/s(s+48.5) (a) Obtain the unit step response of Gp(s). (b) Try PI controllers with (Kp =2, 10, 100), and Ki=Kp/10. Investigate the unit step response ineach case, compare the results and comment. (c) Let Kp =100, Ki=10, and add a derivative term with (Kd=0.1, 0.9, 2). Investigate the unit stepresponse in each case, compare the results and comment. Based on your results in parts (b) and (c) above what do you conclude as a suitable PID controllerfor this system and give your justification.

Please use MATLAB and Transfer Function (tf)