Mp Tuning for Internal Model Control 2x2 Multi Input Multi Output (MIMO) System
Abstract
IMC is a type of model based control that compensates time delay in the process. The controller tuning is quite simple in case of no-error in the model, otherwise it will be a difficult matter. Mp tuning has been considered a tuning for uncertain processes. To extend IMC to MIMO system, a new method based on Maximum Peak (Mp) is developed . The present study proposes Maximum Peak (Mp) tuning for IMC in 2x2 multi input and multi output (MIMO) system. Three particular 2x2 model of distillation colomn are being studied, the best configuration is analyzed by Relative Gain Array (RGA) and Average Dynamic Gain Array (ADGA) method. The tuning method consists of two main steps: Firstly, determine the worst case of the model uncertainty. Secondly, specify the parameter of set point controller using maximum peak (Mp) criteria. The effectiveness of Mp tuning for IMC in MIMO system is evaluated and compared to Biggest Log Modulus Tuning (BLT) for MIMO-PI Controller, Skogestad Tuning, and Rivera Tuning. Evaluation and comparison have been done through simulation and the results are satisying.
Keywords
Full Text:
PDFReferences
Books:
Luyben, W. L, (1989), “Process Modelling Simulation and Control for Chemical Engineers”, 2nd ed., McGraw-Hill, Inc., New York.
Kuo, B.C., “Automatic control systems”, 7th ed. Englewood Cliffs, New Jersey: Prentice Hall (1995)
Brosilow, C. and Joseph, B., “Techniques of model-based control”, Prentice Hall International Series in the Physical and Chemical Engineering Science. New Jersey: Prentice Hall PTR (2001).
Levine, W.S., “The control handbook”, Boca Raton: CRC Press (1995).
Seborg, D.E., Edgar, T.F. and Mellicamp, D.A., “Process dynamic and control”, 3rd ed. USA: John Wiley & Sons, Inc (2011).
Periodicals:
Garcia, C.E. and Morari, M., “Internal model control. A unifying review and some new results”, Ind. & Eng. Chem. Pro. Des. and Dev. 21(2): 308-323 (1982).
Gagnepain D. E and Seborg, (1982), “Analysis of Process Interaction with Application to Multiloop Control System Design”, IEC. Process Des. Dev. 21, 5-13.
Rivera, D.E., Morari, M. and Skogestad, S., “Internal model control: PID controller design”, Ind. & Eng. Chem. Pro. Des. and Dev.. 25(1): 252-265 (1986).
Garcia, C. E. and Morari M., (1985), “Internal Model Control: Design Procedure for Multivariable Systems”, Ind. & Eng. Chem. Pro. Des. and Dev. 24, 472-484.
Economou C. G. And Morari M., (1986), “Interbal Model Control: Multiloop Design”, Ind. & Eng. Chem. Pro. Des. and Dev. 25, 411-419.
Laughlin, D.L., Jordan, K.G. and Morari, M., “Internal model control and process uncertainty : mapping uncertainty regions for SISO controller design”, Int. J of Cont. 44(6): 1675-1698 (1986).
Morari, M. and Zafiriou, E., “Robust process control”, Englewood Cliffs, NJ: Prentice –Hall (1989).
Juwari, Badhrulhisham AA., Yee, C. S., and Rosbi M., (2013), “A New Tuning Method for Two-Degree-of-Freedom Internal Model Control under Parametric Uncertainty”, CJCE Vol 21, 1030-1037
DOI: http://dx.doi.org/10.12962/j23546026.y2014i1.274
Refbacks
- There are currently no refbacks.
View my Stat: Click Here
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.