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Neural Models in Computationally Efficient Predictive Control Cooperating with Economic Optimisation

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Artificial Neural Networks – ICANN 2007 (ICANN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4669))

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Abstract

This paper discusses the problem of cooperation of economic optimisation with Model Predictive Control (MPC) algorithms when the dynamics of disturbances is comparable with the dynamics of the process. A dynamic neural model is used in the suboptimal nonlinear MPC algorithm with Nonlinear Prediction and Linearisation (MPC-NPL), a steady-state neural model is used in approximate economic optimisation which is executed as frequently as the MPC algorithm. The MPC-NPL algorithm requires solving on-line only a quadratic programming problem whereas approximate economic optimisation needs solving a linear programming problem. As a result, the necessity of repeating two nonlinear optimisation problems at each sampling instant is avoided.

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References

  1. Blevins, T.L., Mcmillan, G.K., Wojsznis, M.W.: Advanced control unleashed. ISA (2003)

    Google Scholar 

  2. Brdys, M., Tatjewski, P.: Iterative algorithms for multilayer optimizing control. Imperial College Press, London (2005)

    MATH  Google Scholar 

  3. Findeisen, W.M., Bailey, F.N., Brdyś, M., Malinowski, K., Tatjewski, P., Woźniak, A.: control and coordination in hierarchical systems, Chichester - New York - Brisbane - Toronto. J. Wiley and Sons, Chichester (1980)

    MATH  Google Scholar 

  4. Haykin, S.: Neural networks – a comprehensive foundation. Prentice-Hall, Englewood Cliffs (1999)

    MATH  Google Scholar 

  5. Hussain, M.A.: Review of the applications of neural networks in chemical process control – simulation and online implmementation. Artificial Intelligence in Engineering 13, 55–68 (1999)

    Article  Google Scholar 

  6. Kassmann, D.E., Badgwell, T.A., Hawkins, R.B.: Robust steady-state target calculation for model predictive control. AIChE Journal 46, 1007–1024 (2000)

    Article  Google Scholar 

  7. Ławryńczuk, M.: A family of model predictive control algorithms with artificial neural networks. International Journal of Applied Mathematics and Computer Science, accepted for publication (2007)

    Google Scholar 

  8. Ławryńczuk, M., Tatjewski, P.: An efficient nonlinear predictive control algorithm with neural models and its application to a high-purity distillation process. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 76–85. Springer, Heidelberg (2006)

    Google Scholar 

  9. Maciejowski, J.M.: Predictive control with constraints. Prentice Hall. Harlow, Englewood Cliffs (2002)

    Google Scholar 

  10. Maner, B.R., Doyle, F.J., Ogunnaike, B.A., Pearson, R.K.: Nonlinear model predictive control of a simulated multivariable polymerization reactor using second-order Volterra models. Automatica. 32, 1285–1301 (1996)

    Article  MATH  Google Scholar 

  11. Nørgaard, M., Ravn, O., Poulsen, N.K., Hansen, L.K.: Neural networks for modelling and control of dynamic systems. Springer, London (2000)

    MATH  Google Scholar 

  12. Qin, S.J., Badgwell, T.A.: A survey of industrial model predictive control technology. Control Engineering Practice 11, 733–764 (2003)

    Article  Google Scholar 

  13. Tatjewski, P.: Advanced control of industrial processes, Structures and algorithms. Springer, London (2007)

    MATH  Google Scholar 

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Joaquim Marques de Sá Luís A. Alexandre Włodzisław Duch Danilo Mandic

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© 2007 Springer-Verlag Berlin Heidelberg

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Ławryńczuk, M. (2007). Neural Models in Computationally Efficient Predictive Control Cooperating with Economic Optimisation. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D. (eds) Artificial Neural Networks – ICANN 2007. ICANN 2007. Lecture Notes in Computer Science, vol 4669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74695-9_67

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  • DOI: https://doi.org/10.1007/978-3-540-74695-9_67

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74693-5

  • Online ISBN: 978-3-540-74695-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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