A position control system that positions a mass m has the following open-loop transfer function Using the MATLAB and Simulink, do the following: (a) For a unit step input, simulate the open-loop...

A position control system that positions a mass m has the following open-loop transfer function

Using the MATLAB and Simulink, do the following:

(a) For a unit step input, simulate the open-loop response of the system for m = 1 kg.

(b) It is desired to obtain a system response with settling time of less than 0.5 seconds and overshoot of less than 5%. Design a PID controller for the system using a mass m = 1 kg.

(c) Using the PID parameters obtained above, obtain the step response for the case when the mass of 1 kg is replaced by (i) m = 0.2 kg and (ii) m = 4 kg. Comment on system performance.

(d) Develop a fuzzy controller for the position control system tuned for m = 1 Kg. Obtain the system response with m changed to various values listed above and compare the result with that obtained with PID controller.

Comment on the performances of the two types of controllers.