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2009 | 19 | 2 | 233-246

Tytuł artykułu

Efficient nonlinear predictive control based on structured neural models

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Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
This paper describes structured neural models and a computationally efficient (suboptimal) nonlinear Model Predictive Control (MPC) algorithm based on such models. The structured neural model has the ability to make future predictions of the process without being used recursively. Thanks to the nature of the model, the prediction error is not propagated. This is particularly important in the case of noise and underparameterisation. Structured models have much better long-range prediction accuracy than the corresponding classical Nonlinear Auto Regressive with eXternal input (NARX) models. The described suboptimal MPC algorithm needs solving on-line only a quadratic programming problem. Nevertheless, it gives closed-loop control performance similar to that obtained in fully-fledged nonlinear MPC, which hinges on online nonconvex optimisation. In order to demonstrate the advantages of structured models as well as the accuracy of the suboptimal MPC algorithm, a polymerisation reactor is studied.

Rocznik

Tom

19

Numer

2

Strony

233-246

Opis fizyczny

Daty

wydano
2009
otrzymano
2008-04-03
poprawiono
2008-09-14

Twórcy

  • Institute of Control and Computation Engineering, Faculty of Electronics and Information Technology, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665 Warsaw, Poland

Bibliografia

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  • Doyle, F. J., R. K. P. and Ogunnaike, B. A. (2001). Identification and Control of Process Systems Using Volterra Models, Springer, New York, NY.
  • Haykin, S. (1999). Neural Networks. A Comprehensive Foundation, 2nd Edition, Prentice Hall, Englewood Cliffs, NJ.
  • Henson, M. A. (1998). Nonlinear model predictive control: Current status and future directions, Computers and Chemical Engineering 23(2): 187-202.
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  • Ławryńczuk, M. (2007a). A family of model predictive control algorithms with artificial neural networks, International Journal of Applied Mathematics and Computer Science 17(2): 217-232.
  • Ławryńczuk, M. (2007b). Suboptimal nonlinear predictive control with structured neural models, in J. M. de Sá, J. M. Alexandre, W. Duch and D. Mandic (Eds.), The 17th International Conference on Artificial Neural Networks, ICANN 2007, Porto, Portugal, Springer, Heidelberg, pp. 630-639.
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  • Marlin, T. E. (1995). Process Control, McGraw-Hill, New York, NY.
  • Morari, M. and Lee, J. (1999). Model predictive control: Past, present and future, Computers and Chemical Engineering 23(4): 667-682.
  • Nørgaard, M., Ravn, O., Poulsen, N. K. and Hansen, L. K. (2000). Neural Networks for Modelling and Control of Dynamic Systems, Springer, London.
  • Parisini, T., Sanguineti, M. and Zoppoli, R. (1998). Nonlinear stabilization by receding-horizon neural regulators, International Journal of Control 70(3): 341-362.
  • Piche, S., Sayyar-Rodsari, B., Johnson, D. and Gerules, M. (2000). Nonlinear model predictive control using neural networks, IEEE Control Systems Magazine 20(3): 56-62.
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