Repeat Exercise 20.11 for R = diagonal [0.1, 0.1] and: (i) M = 1 and (ii) M
Question:
(i) M = 1 and (ii) M = 4.
Data From 20.11
Consider the PCM distillation column module of Appendix E with the following variables:
CVs: Overhead Composition (xD) and Bottom Composition (xB)
MVs: Reï¬ux Ratio (R) and Vapor Flow Rate (V)
DV: Column Feed Flow Rate (F)
Do the following, using the transfer function models given below:
(a) Design an MPC system using the following design parameters: Ît = 60 s, Q = diagonal [0.1, 0.1], R = diagonal [0.1, 1], P = 40, M = 1.
(b) Repeat part (a) for the same design parameters, but where Q = diagonal [0.5, 0.5].
(c) Simulate the two MPC controllers for a step change in the set point for Overhead Composition (xD) from 0.85 to 0.80.
(d) Repeat part (c) for a step change in the set point for Bottom Composition (xB) from 0.15 to 0.2.
(e) (Optionaldisturbance test) Repeat part (c) for a step change in the Column Feed Flow Rate (F) from 0.025 to 0.03.
(f) Based on your results from parts (c)(e), which MPC controller is superior?
Process transfer function matrix (all times in minutes):
Step by Step Answer:
Process Dynamics And Control
ISBN: 1602
4th Edition
Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle