Abstract
In this paper, we present a critical look into modeling/identification strategies for nonlinear model predictive control applications. General modeling requirements for nonlinear model predictive control applications are discussed. Then, strengths and weaknesses of fundamental modeling as well as various empirical modeling methods are examined in light of these requirements. A promising new paradigm of nonlinear subspace identification is put forth. We conclude the paper with a discussion of future research needs.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
H. Aling, R. L. Kosut, A. Emami-Naeini, and J. L. Ebert. Nonlinear model reduction with application to rapid thermal processing. In Proceedings of the 35th Conference on Decision and Control,pages 4305–4310, Kobe, Japan, 1996.
L. S. Balasubramhanya and F. J. Doyle III. Nonlinear control of a high purity distillation column using a traveling wave model. AIChE Journal, 43:703–714, 1997.
B. W. Bequette. Nonlinear control of chemical processes: A review. Ind. Eng. Chem. Res., 30:1391–1413, 1991.
S. A. Billings. Identification of nonlinear systems-a survey. In IEE Proc., volume 127, Pt. D-6, pages 272–285, 1980.
S. A. Billings and W. S. F. Voon. A prediction-error and stepwise-regression estimation algorithm for non-linear systems. Int. J. Control, 44(3):803–822, 1986.
T. Bohlin. A case study of grey box identification. Automatica,30(2):307–318, 1994.
Boyd S. and Chua L. O. Fading memory and the problem of approximating nonlinear operators with volterra series. IEEE Tras. Circuits and Systems, 32:1150–1161, 1985.
Y. Chikkula, J. H. Lee, and B. Ogunnaike. Dynamically scheduled model predictive control of nonlinear processes using hinging hyperplane models. AIChE Journal, to appear, 1998.
Y. Chikkula, J. H. Lee, and B. Ogunnaike. Robust model predictive control of nonlinear systems using input-output models. In Proceedings of American Control Conf., pages 2205–2209, Seattle, WA, 1995.
B. Cooley and J. H. Lee. Control-relevant experiment design for multivariable systems. Automatica, under review, 1997.
B. Cooley and J. H. Lee. Integrated identification and robust control. Proceedings of IFAC ADCHEM Conference Banff, Canada, to appear in Journal of Process Control 1997.
A. K. Datta, J. H. Lee, and A. Krishnagopalan. Reducing batch-to-batch variability of pulp qulaity through model-based estimation. Pulp and Paper Canada, 98(4):4649, 1997.
F. De Bruyne, B. D. O Anderson, M. Gevers and N. Linard. Robust model predictive control of nonlinear systems using input-output models. In Proceedings of American Control Conf., pages 2205–2209, Seattle, WA, 1995.
D. Dong and T. J. McAvoy. Nonlinear principal component analysis — based on principal curves and neural networks. Computers and Chemical Engineering, 20(1):65–78, 1996.
A. A. Feldbaum. Optimal Control Theory. Academic Press, New York, NY, 1965.
C. E. Garcia, D. M. Prett, and M. Morari. Model predictive control: theory and practice — a survey. Automatica, 25(3):335–348, 1989.
C.E. Garcia. Quadratic dynamic matrix control of nonlinear processes-an application to a batch reaction process. In AIChE Annual Meeting, 1984.
M. Gevers. Connecting identification and robust control: a new challenge. In 9th IFAC Symposium on Identification and System Parameter Estimation, Budapest, Vol 1. Pp. 1–10, 1991.
E. Hernandez and Y. Arkun. Control of nonlinear systems using polynomial ARMA models. AICHE Journal, 39(3):446–460, 1993.
T. R. Holcomb and M. Morari. PLS/neural network. Computers and Chemical Engineering, 16(4):393–411, 1992.
A. H. Jazwinski. Stochastic Processes and Filtering Theory. Academic Press, New York, NY, 1970.
T. A. Johansen and B. A. Foss. Identification of nonlinear system structure and parameters using regime decomposition. Automatica, 31(2):321–326, 1995.
J. C. Kantor. A finite dimensional nonlinear observer for an exothermic stirred-tank reactor. Chem. Eng. Sci., 44(7):1503–1510, 1989.
M. A. Kramer. Nonlinear principal component analysis using autoassociative neural networks. AIChE J., 37(2):233–243, 1991.
J. H. Lee and N. L. Ricker. Extended Kalman filter based model predictive control. Ind. Eng. Chem. Res., pages 1530–1541, 1994.
L. Ljung. System Identification: Theory for the User. Prentice-Hall Information and System Sciences Series, Englewood Cliffs, NY, 1987.
B. Maner and F. J. Doyle III. Simulated polymerization reactor control using autoregressive plus volterra-based mpc. AIChE Journal, 43:1763–1784, 1997.
W. Marquart. Wave propagation in counter-current separtion processes and its significance to model reduction. Automatisierungstechnik, 35(4):156–162, 1987.
M. Morari and J. H. Lee. Model predictive control: Past, present and future. presented at PSE97/ESCAPE5,Computers and Chemical Engineering., page to appear, 1997.
R. K. Pearson. Nonlinear input/output modeling. Journal of Process Control, 5(4):197–211, 1995.
R. K. Pearson and B. A. Ogunnaike. Nonlinear Process Control, Henson, M.A.Seborg, D. E. (eds.), chapter Nonlinear Process Identification. Prentice Hall PTR, 1997.
R. K. Pearson, B. A. Ogunnaike, and F. J. Doyle III. Identification of structurally constrained second-order volterra models. IEEE Trans. Signal Processing, 44:28372846, 1996.
R. K. Pearson, T. A. Ogunnaike, and F. J. Doyle III. Identification of nonlinear input/output models using non-gaussian input sequences. In Proc. American Control Conference, pages 1465–1469, San Francisco, 1993.
M. B. Priestley. Non-linear and Non-Stationary Time Series Analysis. Academic Press, San Diego, CA, 1988.
S. J. Qin and T. J. McAvoy. Nonlinear PLS modeling using neural networks. Computers and Chemical Engineering, 16(4):379–391, 1992.
S. Joe Qin and T.A. Badgwell. An overview of industrial predictive control technology. In Chemical Process Control - V,Assessment and New Directions for Research, Tahoe City, CA, January 1996.
J. B. Rawlings, E. S. Meadows, and K. R. Muske. Nonlinear model predictive control: a tutorial and survey. In Proc. of ADCHEM, Kyoto, Japan, 1994.
C. Rhodes and M. Morari. Determining the model order of nonlinear input/output systems. In AIChE Journal, volume 44 (1), pages 151–163, 1998.
N. L. Ricker. Use of biased least squares estimators for parameters in discrete time pulse responses. Industrial and Engineering Chemistry Research,27(2):343–350, 1988.
D. Robertson, J. H. Lee, and J. Rawlings. A moving horizon based approach for least squares state estimation. AIChE Journal, 42:2209–2224, 1996.
D. G. Robertson and J. H. Lee. A constrained least squares formulation of state estimation. Journal of Process Control, 5(4):291–299, 1995.
D. G. Robertson, S. A. Russel, J. H. Lee, and B. Ogunnaike. Control of a batch condensation polymerization reactor. In Proceedings of American Control Conf., pages 4453–4457, Seattle, WA, 1995.
S. A. Russel, P. Kesavan, J. H. Lee, and B. Ogunnaike. Recursive data-based prediction and control of product quality for batch and semi-batch processes applied to a Nylon 6,6 autoclave. 97’ AIChE Annual Meeting,Los Angeles, CA, AIChE Journal, submitted, 1998.
L. Sirovich. New Perspectives in Turbulence, Sirovich, L. (eds.), chapter Empirical Eigenfunctions and Low-Dimensional Systems. Springer-Verlag, 1991.
J. Sjoberg, Q. Zhang, L. Ljung, A. Benveniste, B. Delyon’ et al. Nonlinear black-box modeling in system identification: a unified overview Automatica,31(12):1691–1724, 1995.
M. Soroush. Nonlinear state-observer design with application to reactors. Chemical Engineering Science, 39:387–404, 1993.
H. Tong. Non-linear Time Series. Oxford University Press, New York, 1990.
H. J. A. F Tulleken. Grey-box modeling and identification using physical knowledge and bayesian techniques. Automatica, 29(2):285–308, 1993.
P. Van Overschee and B. de Moor. N4SID: Subspace algorithms for the identification of combined deterministic stochastic systems. Automatica, 30(1):75–93, 1994.
R. J. Williams. Neural Networks for Control,Miller, W. T., Sutton, R. S., and Werbos, P. J. (eds.), chapter Adaptive State Representation and Estimation Using Recurrent Connectionist Networks. The MIT Press, Cambridge, MA, 1990.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Basel AG
About this paper
Cite this paper
Lee, J.H. (2000). Modeling and Identification for NonlinearModel Predictive Control: Requirements,Current Status and Future Research Needs. 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_15
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8407-5_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9554-5
Online ISBN: 978-3-0348-8407-5
eBook Packages: Springer Book Archive