Comparative Study of Predictive Multivariable Control and Decentralized Control for a Distillation Column

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The main objective in this work is to compare and control design for a two-input/two-output (MIMO) distillation column. The major difficulties of the control design in this nonlinear process are due to the interaction between the control loops and time delay. In this work, we designed and applied the decentralized IMC-PI (Internal Model Control-Proportional Integral) and multivariable predictive control (MPC). To compare the two controller’s performance, we simulate the system for different set point change and disturbance. The obtained results have shown the best MPC performances.
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Distillation Column; MPC; Decentralized Control; Decoupling IMC-PI; MIMO Control System; FOLPD

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H. S. Truong, I. Ismail and R. Razali, Fundamental Modeling and Simulation of a Binary Continuous Distillation Column, International Conference on Intelligent and Advanced Systems (ICIAS 2010), pp. 1-5, Kuala Lumpur, Malaysia, 15-17 June, 2010.

S. Hurowitz, J. Anderson, M. Duvall, and J. B. Riggs, Distillation control configuration selection, Journal of Process Control, vol. 13(no. 4):357-362, 2003.

Luyben, W.L., Plantwide Dynamic Simulators in Chemical Processing and Control, Marcel Dekker Inc., New York, 2002.

Zeng-Rong Hu, Dong-Hai Li, Jing Wang and Feng Xue, Analytical Design of PID Decoupling Control for TITO Processes with Time Delays, Journal of computers, vol. 6(no. 6):1064-1070, June 2011.

F. Vázquez, F. Morilla, Tuning decentralized PID controllers for MIMO systems with decouplers, Proc. of the 15th World Congress of the IFAC (International Federation of Automatic Control). Barcelona, Spain, 2002. Pergamon (Elsevier Sience).

Truong Nguyen Luan Vu, Jietae Lee and Moonyong Lee, Design of Multi-loop PID Controllers Based on the Generalized IMC-PID Method with Mp Criterion, International Journal of Control Automation and Systems, vol. 5(no. 2):pp. 212-217, April 2007.

J. Macháček, Comparison of Some Methods for Decentralized Control, Proc. of the 9th Mediterranean Conference on Control and Automation MED’01, Croatia June 27-29, 2001.

J. Garrido, F. Vázquez, F. Morilla, Centralized Inverted Decoupling for TITO Processes, Emerging Technologies and Factory Automation (ETFA), pp. 1-8, 2010.

Truong Nguyen Luan Vu, Moonyong Lee, Independent Design of Multi-loop PI/PID Controllers for Interacting Multivariable Processes, Journal of Process Control, vol. 20(no. 8):922-933, 2010.

F. Morilla, F. Vázquez, J. Garrido, Control Centralizado PID 2x2 Por Desacoplo, XXVIII Jornadas de Automática, 2007.

Jiann-Shiou Yang, Optimization-Based PI/PID Control for a Binary Distillation Column, Proc. of the American Control Conference, vol. 5:3650-3655, June 8-10, 2005.

A. Benaskeur, A. Desbiens, Backstepping-Based PID DESIGN for TITO Decentralized Control, In Proceedings of the 10th Mediterranean Conference on Control and Automation- MED2002 Lisbon, pp. 7, July 9-12, Portugal, 2002.

L. Moonyong, P. Sunwon, Process Control Using a Neural Network Combined With the Conventional PID Controllers, In ICASE: The Institute of Control Automation and Systems engineers, vol. 2(no. 3):196-200, September 2000, Korea.

P. Regina, S. J. Mija, Comparative Study of Sliding Mode and Relay Enhanced PI Controllers for MIMO Systems, Proc. of the EIAT / IETA, pp. 201-206, 2008.

E. Gagnon, A. Pomerleau and A. Desbiens, Simplified, Ideal or Inverted Decoupling, ELSEVIER ISA Transactions, vol. 37(no 4):266, September 1998.

R. Sivakumar, C. Sahana, and P. A. Savitha, Design of ANFIS based Estimation and Control for MIMO Systems, International Journal of Engineering Research and Applications, vol. 2(no 3):2803-2809, May-Jun 2012.

S. Skogestad, Dynamics and Control of Distillation Column, A Tutorial Introduction, Transaction of Institution of Chemical Engineers, vol. 75(no. Part A):539-562, 1997.

S. Javadi, J. Hosseini, Control of Binary Distillation Column Using Fuzzy PI Controllers, Proc. of the 9th WSEAS International Conf. On Signal Processing, Computational Geometry and Artificial Vision (ISCGAV '09), pp. 145-152, August 20-22, 2009, Russia.

R. K. Wood and M. W. Berry, Terminal composition control of a binary distillation column, Chemical Engineering Science, vol. 28(no. 9):1707-1717, 1973.

R. Sivakumar, C. Sahana, P. A. Savitha, Design of ANFIS based Estimation and Control for MIMO Systems, International Journal of Engineering Research and Applications (IJERA), vol. 2(no 3):2803-2809, May-Jun 2012.

R. Garduno-Ramirez. K. Y. LEE, Feasibility Analysis of Control-loop Interaction Compensation for a Fossil-Fuel Power Plant, Proc. of the 5th IFAC Symposium Power Plants And Power Systems Control, vol. 1, pp. 331-336, 15–19 September 2003, South Korea.

M. Ramzi, H. Youlal, M. Haloua, Continuous Time Identification and Decentralized PID Controller of an Aerothermic Process, International Journal on Smart Sensing and Intelligent Systems, vol. 5(no. 2):496, June 2012.

T. Nguyen L. Vu, M. Lee, Independent Design of Multi-loop PI/PID Controllers for Interacting Multivariable Processes, Journal of Process Control, vol. 20:922–933, 2010.

G. J. Silva, A. Datta and S. R Bhattacharyya, PID Controllers for Time-Delay Systems, Editor Birkhauser Boston, pp. 11-13, 2005.

A. K. Abbes, F. Bouani, M. Ksouri, A Microcontroller Implementation of Constrained Model Predictive Control, International journal of electrical and electronics engineering, vol. 5(no.3):199-206, summer 2011.

C. STOICA, Robustification de lois de commande prédictives multivariables, Ph.D. dissertation, Dept. Physic, Paris-Sud Univ., Paris, France, 2008.

C. Stoica, P. Rodríguez-Ayerbe, D. Dumur, Off-line Method for Improving Robustness of Model Predictive Control Laws, Control Engineering and Applied, Informatics, vol. 9(no. 3-4):76-83, December 2007.


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