Skip to main content

Computationally Efficient Nonlinear Predictive Control Based on RBF Neural Multi-models

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5495))

Abstract

This paper is concerned with RBF neural multi-models and a computationally efficient nonlinear Model Predictive Control (MPC) algorithm based on such models. The multi-model has an ability to calculate predictions over the whole prediction horizon without using previous predictions. Unlike the classical Nonlinear Auto Regressive with eXternal input (NARX) model, the multi-model is not used recursively in MPC, the prediction error is not propagated. The presented MPC algorithm needs solving on-line only a quadratic programming problem but in practice it gives closed-loop control performance similar to that obtained in nonlinear MPC, which hinges on on-line non-convex optimisation.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    MATH  Google Scholar 

  2. 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 

  3. Liu, D., Shah, S.L., Fisher, D.G.: Multiple prediction models for long range predictive control. In: Proc. of the IFAC World Congress, Beijing, China (1999)

    Google Scholar 

  4. Liu, G.P., Kadirkamanathan, V., Billings, S.A.: Predictive control for non-linear systems using neural networks. Int. Journal of Control 71, 1119–1132 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ławryńczuk, M.: A family of model predictive control algorithms with artificial neural networks. Int. Journal of Applied Mathematics and Computer Science 17, 217–232 (2007)

    MathSciNet  MATH  Google Scholar 

  6. Ławryńczuk, M.: Suboptimal nonlinear predictive control with structured neural models. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D.P. (eds.) ICANN 2007. LNCS, vol. 4669, pp. 630–639. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

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

    MATH  Google Scholar 

  8. Morari, M., Lee, J.H.: Model predictive control: past, present and future. Computers and Chemical Engineering 23, 667–682 (1999)

    Article  Google Scholar 

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

    Book  MATH  Google Scholar 

  10. Piche, S., Sayyar-Rodsari, B., Johnson, D., Gerules, M.: Nonlinear model predictive control using neural networks. IEEE Control Systems Magazine 20, 56–62 (2000)

    Article  Google Scholar 

  11. Pottmann, M., Seborg, D.E.: A nonlinear predictive control strategy based on radial basis function models. Comp. and Chem. Eng. 21, 965–980 (1997)

    Article  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. Rossiter, J.A., Kouvaritakis, B.: Modelling and implicit modelling for predictive control. Int. Journal of Control 74, 1085–1095 (2001)

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ławryńczuk, M. (2009). Computationally Efficient Nonlinear Predictive Control Based on RBF Neural Multi-models. In: Kolehmainen, M., Toivanen, P., Beliczynski, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2009. Lecture Notes in Computer Science, vol 5495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04921-7_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04921-7_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04920-0

  • Online ISBN: 978-3-642-04921-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics