Question: Design a PID Controller for the system given below using Ziegler Nicols 2nd Method. G(S) = S(S+1)(S+5) Using Root locus or Routh table determine

Design a PID Controller for the system given below using Ziegler Nicols 2nd Method. G(S) = S(S+1)(S+5) Using Root locus or Routh table determine the value of K for critical stability (Kcr) and the period of oscillation (Pcr). Ker= Per= Using Zigler Nichols table determine the values of K,,T, and T and obtain the transfer function of the PID controller. Using MATLAB Plot the response of the system with and without the PID controller and comment on the result.

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