Generalized Predictive Control of Batch Polymerization Reactor

Authors: R. Khaniki, M.B. Menhaj, H. Eliasi

Abstract:

This paper describes the application of a model predictive controller to the problem of batch reactor temperature control. Although a great deal of work has been done to improve reactor throughput using batch sequence control, the control of the actual reactor temperature remains a difficult problem for many operators of these processes. Temperature control is important as many chemical reactions are sensitive to temperature for formation of desired products. This controller consist of two part (1) a nonlinear control method GLC (Global Linearizing Control) to create a linear model of system and (2) a Model predictive controller used to obtain optimal input control sequence. The temperature of reactor is tuned to track a predetermined temperature trajectory that applied to the batch reactor. To do so two input signals, electrical powers and the flow of coolant in the coil are used. Simulation results show that the proposed controller has a remarkable performance for tracking reference trajectory while at the same time it is robust against noise imposed to system output.

Keywords: Generalized Predictive Control (GPC), TemperatureControl, Global Linearizing Control (GLC), Batch Reactor.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335062

References:

[1] J.F. Macgregor, "Control of Polymerization Reactors," in Proc. Of IFAC, pp.31-35, 1986.W.-K.
[2] W. H. Ray, ÔÇÿPolymerization Reactor Control," in IEEE Cont.Systs.Mag., Vol. 6(4), pp.3-8, 1986.
[3] M.Tirrell, R. Galvan, and R.L. Laurance, " Polymerization Reactors," in Chemical Reaction and Reactor Engineering, J. J. Carberry and A. Varma, eds., Marcel Dekker,Basel-New York, pp.735-770,1987.
[4] P. E. Baillagou and D. S. Soong,-Major Factors Contributing to the Nonlinear Kinetics of Free-Radical Polymerization,- in Chem. Eng. Sci., Vol.40, pp.75-87, 1985
[5] A.Isidori, "Nonlinear Control Systems: An Introduction," 2nd Ed., Springer-Verlag, pp.156-281, 1989. S.
[6] H.Nijimeijer and A. J. van der Schaft , "Nonlinear Dynamical Control Systems," 1st Ed., Springer-Verlag, pp.176-433,1990.
[7] C.Karvaris and C.B. Chung, "Nonlinear State Feedback Synthesis by Global Input/output Linearization," in AIChE J., Vol.33, pp.592-603, 1987.
[8] C.Karvaris and M. Soroush, "Synthesis of Multivariable Nonlinear Controllers by Input/output Linearization," in AIChE J., J.36, pp.249- 264, 1990.
[9] M.soroush and C. Kravaris, "Nonlinear Control of Batch Polymerization Reactors," in Proc.ACC,Boston, pp.2879-2885,1991.
[10] P. Daoutidis and C. Kravaris, "Dynamic Output Feedback Control of Minimum-Phase Nonlinear Processes," in Chem.Eng.Sci. Vol.47, pp.837-849, 1992.
[11] Clarke, D.W., Scattolini, R., 1991. Constrained receding horizon predictive control. IEE Proc.-D 138 (July (4)).
[12] Clarke, D.W., Mohtadi, C., Tuffs, P.S., 1987a. Generalized predictive controlÔÇöPart I. Basic algorithm. Automatica 23 (2), 137-148.
[13] M.soroush and C. Kravaris, "Nonlinear Control of a Batch Polymerization Reactor: An Exprimental Study " ,AIChE , vol.38 , No.9. pp.1429-1447, 1992.