Student Exercises

Exercises 1, 19, and 20 are SIMULINK-based problems.

1:Use the IMC-based PID design procedure to find the PID controller for a second-order transfer function

Hint: First design the IMC, assuming that you will allow the controller to be improper; that is, the order of the numerator is one higher than the denominator. What order filter do you find?

  1. Find the PID parameters, kc, τI, τD, as a function of the process model parameters, kp, τ, ζ, and the filter factor, λ.

  2. For a perfect model, plot the closed-loop response of y to a step setpoint change in r (as a function of λ). (Show your control block diagram.)

  3. Discuss the effect of ...

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