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Nonlinear Model Predictive Control of A Styrene Polymerization Reactor

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Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 26))

Abstract

In this paper we apply a multivariable nonlinear quadratic dynamic matrix control (NL-QDMC) strategy to the control of a styrene polymerization reactor. NL-QDMC is an extension of a well-known technique for handling constrained processes based on linear models (QDMC) to nonlinear models. The NL-QDMC algorithm incorporates an Extended Kalman Filter (EKF) to handle state variable and parameter estimation; also included is an integrated white noise disturbance model. We consider (through simulations) the control of polymer properties such as number average molecular weight (NAMW) and polydispersity or branching. Temperature and volume measurements are available frequently while concentration and molecular weight distribution measurements are only available every 30 minutes with a delay of 30 minutes. There will always be both parametric and structural uncertainty in any model-based estimation and control scheme. We illustrate the effect of model structure uncertainty by using a simplified model for the control strategy, and a more complex model for the “plant” (incorporating the “gel effect”, for example).

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References

  1. B.W. Bequette, Nonlinear control of chemical processes: a review, Ind. Eng. Chem. Res., 30 (1991a), 1391–1413.

    Article  Google Scholar 

  2. B.W. Bequette, Nonlinear predictive control using multi-rate sampling, Can. J. Chem. Eng., 69 (1991b), 136–143.

    Article  Google Scholar 

  3. B.W. Bequette, Practical approaches to nonlinear control: a review of process applications, in Nonlinear Model-based Process Control,R. Berber and C. Kravaris (eds.), NATO ASI Series, Vol. E., Kluwer, Dordrecht, 1998, in press.

    Google Scholar 

  4. F.J. Doyle, B.A. Ogunnaike and R.K. Pearson, Nonlinear model-based control using second-order Volterra models, Automatica, 31 (1995), 697–714.

    Google Scholar 

  5. J.W. Eaton and J.B. Rawlings, Feedback control of nonlinear processes using on-line optimization techniques, Comp. Chem. Engng., 14 (1990), 469–479.

    Google Scholar 

  6. C.E. Garcia, Quadratic dynamic matrix control of nonlinear processes: an application to a batch reaction process, AIChE Annual Meeting, San Francisco, CA 1984.

    Google Scholar 

  7. G. Gattu and E. Zafiriou, Nonlinear quadratic dynamic matrix control with state estimation, Ind. Eng. Chem. Res., 31 (1992), 1096–1104.

    Article  Google Scholar 

  8. E. Gazi, W.D. Seider and L.H. Ungar, Verification of controllers in the presence of uncertainty: application to styrene polymerization, Ind. Eng. Chem. Res., 35 (1996), 2277–2287.

    Article  Google Scholar 

  9. J.N. Henderson and T.C. Bouton, Polymerization Reactors and Processes, ACS Symposium Series, 104 (1979).

    Google Scholar 

  10. P.M. Hidalgo and C.B. Brosilow, Nonlinear model predictive control of styrene polymerization at unstable operating points, Comp. Chem. Eng., 14 (1990), 481–494.

    Google Scholar 

  11. S. S. Jang, B. Joseph and H. Mukai, Control of constrained multivariable nonlinear process using a two-phase approach, Ind. Eng. Chem. Res., 26 (1987), 2106–2114.

    Article  Google Scholar 

  12. C. Kiparissides, Polymerization reactor modeling: a review of recent developments and future directions, Chem. Eng. Sci., 51 (1996), 1637–1659.

    Article  Google Scholar 

  13. J.H. Lee. and N.L. Ricker, Extended Kalman filter based nonlinear model predictive control, Ind. Eng. Chem. Res., 33 (1994), 1530–1541.

    Article  Google Scholar 

  14. E.S. Meadows and J.B. RawlingsModel predictive control5 in Nonlinear Process ControlM.A. Henson and D.E. Seborg(eds.),Prentice Hall, Upper Saddle River, NJ (1997).

    Google Scholar 

  15. K.R. Muske and T.F. Edgar, Nonlinear state estimation6 in Nonlinear Process Control, M.A. Henson and D.E. Seborg (eds.), Prentice Hall, Upper Saddle River, NJ (1997).

    Google Scholar 

  16. B.A. Ogunnaike, On-line modelling and predictive control of an industrial terpolymerization reactor, Int. J. Cont., 59 (1994), 711–729.

    Google Scholar 

  17. Y. Ramamurthi, P.B. Sistu and B.W. Bequette, Control-relevant data reconcilation and parameter estimation, Comp. Chem. Engng., 17 (1993), 41–59.

    Google Scholar 

  18. J.B. Rawlings, E.S. Meadows and K.R. Muske, Nonlinear model predictive control: a tutorial and survey, in Advanced Control of Chemical Processes, ADCHEM ‘84, IFAC, Kyoto, Japan, 1994, 203–214.

    Google Scholar 

  19. W.H. Ray, On the mathematical modeling of polymerization reactors, J. Macromol. Sci.-Revs. Macromol. Chem., C8 (1972) 1.

    Google Scholar 

  20. W.H. Ray, Modeling and control of polymerization reactors, in Dynamics and Control of Chemical Reactors, Distillation Columns and Batch Processes (DYCORD+ ‘82), J.G. Balchen (ed.), Pergamon Press, Oxford (1993), 161–170.

    Google Scholar 

  21. D. Robertson, J.H. Lee and J.B. Rawlings, A moving horizon based approach for least squares estimation, AIChE J., 42 (1994), 2209–2224.

    Article  Google Scholar 

  22. L.P. Russo and B.W. Bequette, Operability of chemical reactors: multiplicity behaviour of a jacketed styrene polymerization reactor, Chem. Eng. Sci., 53 (1998), 27–45.

    Article  Google Scholar 

  23. M. Schley, Extended Kalman filter based nonlinear model predictive control of a styrene polymerisation reactor,Diplomarbeit (Diploma thesis), University of Aachen, Aachen, Germany, May 1998.

    Google Scholar 

  24. D.E. Seborg, T.F. Edgar and D.A. Mellichamp, Process Dynamics and Control„ John Wiley and Sons (1989).

    Google Scholar 

  25. P.B. Sistu and B.W. BequetteProcess identification using nonlinear programming techniques, Proceedings of the American Control Conference, San Diego,CA1990 1534–1539.

    Google Scholar 

  26. P.B. Sistu and B.W. Bequette, Nonlinear predictive control of uncertain processes: application to a CSTR, AIChE J., 37 (1991), 1711–1723.

    Article  Google Scholar 

  27. P.B. Sistu, R.S. Gopinath and B.W. Bequette, Computational issues in nonlinear predictive control, Comp. Chem. Engng., 17 (1993), 361–366.

    Google Scholar 

  28. P.B. Sistu and B.W. Bequette, Model predictive control of processes with input multiplicities, Chem. Eng. Sci., 50 (1995), 921–936.

    Article  Google Scholar 

  29. P.B. Sistu and B.W. Bequette, Nonlinear model predictive control. Closed-loop stability analysis, AIChE J., 42 (1996), 3388–3402.

    Article  Google Scholar 

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Schley, M., Prasad, V., Russo, L.P., Bequette, B.W. (2000). Nonlinear Model Predictive Control of A Styrene Polymerization Reactor. In: Allgöwer, F., Zheng, A. (eds) Nonlinear Model Predictive Control. Progress in Systems and Control Theory, vol 26. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8407-5_23

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  • DOI: https://doi.org/10.1007/978-3-0348-8407-5_23

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9554-5

  • Online ISBN: 978-3-0348-8407-5

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