Consider the PCM distillation column module of Appendix E.
Chapter 12, Problem 12.18(choose chapter or problem)
Consider the PCM distillation column module of Appendix E. Assume that distillate MeOH composition xn is the CV, that reflux ratio R is the MV, and that they are related by the following transfer function model: Xn(s) R(s) 0.126e -l3Ss Gp(s) = 762s + 1 ' (a) Design a PID controller based on the IMC tuning relations and a reasonable choice for T c- (b) Design a PID controller based on the relay auto-tuning feature of the PCM and the Ziegler-Nichols settings. (c) Simulate each controller for a sudden change in an unmeasured disturbance, feed composition Xp, at t = 10 min, from 0.50 to 0.55 (mole fraction). Which controller is superior? Justify your answer. (d) Attempt to obtain improved control system performance by fine-tuning your better controller for part (c). For the performance criteria, consider maximum deviation from set point and settling time.
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