Question: Consider a plant given above to be controlled by a PID controller. Using SIMULINK in MATLAB: a) Obtain the unit step response, Gp(s). b)

Consider a plant given above to be controlled by a PID controller. Using SIMULINK in MATLAB: a) Obtain the G (S) = 400 s(s+ 48.5)

Consider a plant given above to be controlled by a PID controller. Using SIMULINK in MATLAB: a) Obtain the unit step response, Gp(s). b) Apply P controllers with K, 2, and 10. Investigate the unit step response in each case, compare the results and discuss. c) Apply Pl controllers with K, following the K, in b) with addition of K = 100. Investigate the unit step response in each case, compare the results and discuss. d) Let K,= 100, K = 10, and add a derivative term with K = 0.1, 0.9, and 2. Investigate the unit step response in each case, compare the results and discuss. Based on your results in parts b), c) and d) conclude a suitable PID controller for this system and provide justification. G (S) = 400 s(s+ 48.5)

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