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Received September 25, 2002
Accepted December 11, 2002
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This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits
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Polymer Property Control in a Continuous Styrene Polymerization Reactor Using Model-on-Demand Predictive Controller
School of Chemical Engineering and Institute of Chemical Processes, Seoul National University, Kwanak-ku, Seoul 151-742, Korea
hkrhee@snu.ac.kr
Korean Journal of Chemical Engineering, January 2003, 20(1), 14-21(8), 10.1007/BF02697178
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Abstract
The model-on-demand (MoD) framework was extended to the model predictive control (MPC) to design a multiple variable model-on-demand predictive controller (MoD-PC). This control algorithm was applied to the property control of polymer product in a continuous styrene polymerization reactor. For this purpose, a local auto-regressive exogenous input (ARX) model was constructed with a small portion of data located in the region of interest at every sample time. With this model an output prediction equation was formulated to calculate the optimal control input sequence. Jacket inlet temperature and conversion were chosen as the elements of regressor state vector in data searching step. Simulation studies were conducted by applying the MoD-PC to MIMO control problems associated with the continuous styrene polymerization reactor. The control performance of the MoD-PC was then compared with that of a nonlinear MPC based on the polynomial auto-regressive moving average (ARMA) model for disturbance rejection as well as for setpoint-tracking. As a result, the MoD-PC was found to be an effective strategy for the production of polymers with desired properties.
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References
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Cybenko G, "Just-in-Time Learning and Estimation," Identification, Adaptation, Learning, NATO ASI Series, 423-434, Springer (1996)
Embirucu M, Lima EL, Pinto JC, Polym. Eng. Sci., 36(4), 433 (1996)
Fruzzetti K, Palazoglu A, McDonald K, J. Proc. Control., 7, 31 (1995)
Hamer JW, Akarmov TA, Ray WH, Chem. Eng. Sci., 36, 1897 (1981)
Henson MA, Comput. Chem. Eng., 23(2), 187 (1998)
Hernandez E, Arkun Y, AIChE J., 39(3), 446 (1993)
Ljung L, "System Identification-Theory for the User," PTR Prentice Hall, NJ (1999)
Maner BR, Doyle FJ, AIChE J., 43(7), 1763 (1997)
Na SS, Rhee HK, J. Appl. Polym. Sci., 76(13), 1889 (2000)
Na SS, Rhee HK, Chem. Eng. Sci., 57(7), 1165 (2002)
Schork FJ, Deshpande PB, Leffew KW, "Control of Polymerization Reactors," Marcel Dekker, Inc. (1993)
Stenman A, "Model on Demand: Algorithms, Analysis and Applications," Ph.D. Thesis, Dept of EE, Linkoping University, Linkoping, Sweden (1999)
Stenman A, "Model-free Predictive Control," Proc. 38th IEEE Conf. Decision and Control, Phoenix, Arizona, USA, December 7-10 (1999)
Yoo CK, Choi SW, Lee IB, Korean J. Chem. Eng., 19(3), 377 (2002)
