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2010 | 20 | 1 | 7-21
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Nonlinear predictive control based on neural multi-models

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper discusses neural multi-models based on Multi Layer Perceptron (MLP) networks and a computationally efficient nonlinear Model Predictive Control (MPC) algorithm which uses such models. Thanks to the nature of the model it calculates future predictions without using previous predictions. This means that, unlike the classical Nonlinear Auto Regressive with eXternal input (NARX) model, the multi-model is not used recurrently in MPC, and the prediction error is not propagated. In order to avoid nonlinear optimisation, in the discussed suboptimal MPC algorithm the neural multi-model is linearised on-line and, as a result, the future control policy is found by solving of a quadratic programming problem.
Rocznik
Tom
20
Numer
1
Strony
7-21
Opis fizyczny
Daty
wydano
2010
otrzymano
2009-01-16
poprawiono
2009-07-15
Twórcy
  • Institute of Control and Computation Engineering, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665 Warsaw, Poland
  • Institute of Control and Computation Engineering, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665 Warsaw, Poland
Bibliografia
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  • El Ghoumari, M. Y. and Tantau, H. J. (2005). Non-linear constrained MPC: Real-time implementation of greenhouse air temperature control, Computers and Electronics in Agriculture 49(3): 345-356.
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  • 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.
  • Ławryńczuk, M. (2007). A family of model predictive control algorithms with artificial neural networks, International Journal of Applied Mathematics and Computer Science 17(2): 217-232, DOI: 10.2478/v10006-007-0020-5.
  • Ławryńczuk, M. (2008). Suboptimal nonlinear predictive control with neural multi-models, in L. Rutkowski, R. Tadeusiewicz, L. A. Zadeh and J. Zurada (Eds), The 9th International Conference on Artificial Intelligence and Soft Computing, ICAISC 2008, Zakopane, Poland (Computational Intelligence: Methods and Applications), Exit, Warsaw, pp. 45-56.
  • Ławryńczuk, M. (2009a). Computationally efficient nonlinear predictive control based on RBF neural multi-models, in M. Kolehmainen, P. Toivanen and B. Beliczyński (Eds), The Ninth International Conference on Adaptive and Natural Computing Algorithms, ICANNGA 2009, Kuopio, Finland, Lecture Notes in Computer Science, Vol. 5495, Springer, Heidelberg, pp. 89-98.
  • Ławryńczuk, M. (2009b). Efficient nonlinear predictive control based on structured neural models, International Journal of Applied Mathematics and Computer Science 19(2): 233-246, DOI: 10.2478/v10006-009-0019-1.
  • LeCun, Y., Denker, J. and Solla, S. (1990). Optimal brain damage, in D. Touretzky (Ed.), Advances of NIPS2, Morgan Kaufmann, San Mateo, CA, pp. 598-605.
  • Liu, D., Shah, S. L. and Fisher, D. G. (1999). Multiple prediction models for long range predictive control, Proceedings of the IFAC World Congress, Beijing, China, (on CD-ROM).
  • Lu, C. H. and Tsai, C. C. (2008). Adaptive predictive control with recurrent neural network for industrial processes: An application to temperature control of a variable-frequency oil-cooling machine, IEEE Transactions on Industrial Electronics 55(3): 1366-1375.
  • Luyben, W. L. (1990). Process Modelling, Simulation and Control for Chemical Engineers, McGraw Hill, New York, NY.
  • Maciejowski, J. M. (2002). Predictive Control with Constraints, Prentice Hall, Harlow.
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  • Narendra, K. S. and Parthasarathy, K. (1990). Identification and control of dynamical systems using neural networks, IEEE Transactions on Neural Networks 1(1): 4-26.
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  • Parisini, T., Sanguineti, M. and Zoppoli, R. (1998). Nonlinear stabilization by receding-horizon neural regulators, International Journal of Control 70(3): 341-362.
  • Pearson, R. K. (2003). Selecting nonlinear model structures for computer control, Journal of Process Control 13(1): 1-26.
  • Peng, H., Yang, Z. J., Gui, W., Wu, M., Shioya, H. and Nakano, K. (2007). Nonlinear system modeling and robust predictive control based on RBF-ARX model, Engineering Applications of Artificial Intelligence 20(1): 1-9.
  • Qin, S. J. and Badgwell, T. (2003). A survey of industrial model predictive control technology, Control Engineering Practice 11(7): 733-764.
  • Qin, S. Z., Su, H. T. and McAvoy, T. J. (1992). Comparison of four neural net learning methods for dynamic system identification, IEEE Transactions on Neural Networks 3(1): 122-130.
  • Rossiter, J. A. and Kouvaritakis, B. (2001). Modelling and implicit modelling for predictive control, International Journal of Control 74(11): 1085-1095.
  • Su, H. T. and McAvoy, T. J. (1992). Long-term predictions of chemical processes using recurrent neural networks: A parallel training approach, Industrial and Engineering Chemistry Research 31(5): 1338-1352.
  • Tatjewski, P. (2007). Advanced Control of Industrial Processes, Structures and Algorithms, Springer, London.
  • Tatjewski, P. and Ławryńczuk, M. (2006). Soft computing in model-based predictive control, International Journal of Applied Mathematics and Computer Science 16(1): 101-120.
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Typ dokumentu
Bibliografia
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