Skip to main content

Multiobjective Genetic Programming for Nonlinear System Identification

  • Conference paper
Adaptive and Natural Computing Algorithms (ICANNGA 2009)

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

Included in the following conference series:

Abstract

The paper presents a novel identification method, which makes use of genetic programming for concomitant flexible selection of models structure and parameters. The case of nonlinear models, linear in parameters is addressed. To increase the convergence speed, the proposed algorithm considers customized genetic operators and a local optimization procedure, based on QR decomposition, able to efficiently exploit the linearity of the model subject to its parameters. Both the model accuracy and parsimony are improved via a multiobjective optimization, considering different priority levels for the involved objectives. An enhanced Pareto loop is implemented, by means of a special fitness assignment technique and a migration mechanism, in order to evolve accurate and compact representations of dynamic nonlinear systems. The experimental results reveal the benefits of the proposed methodology within the framework of an industrial system identification.

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Flemming, P.J., Purshouse, R.C.: Evolutionary Algorithms in Control Systems Engieering: A Survey. Control Engineering Practice 10, 1223–1241 (2002)

    Article  Google Scholar 

  2. Ferariu, L., Voicu, M.: Nonlinear System Identification Based on Evolutionary Dynamic Neural Networks wih Hybrid Structure. In: 16thIFAC Congress. Elsevier, Prague (2005)

    Google Scholar 

  3. Koza, J.R.: Genetic Programming: On the Programming of Computers by Means of Natural Selection. MIT Press, Cambridge (1992)

    MATH  Google Scholar 

  4. Rodriguez-Vasquez, K., Fonseca, C.M., Flemming, P.J.: Identifying the Structure of Nonlinear Dynamic Systems Using Multiobjective Genetic Programming. IEEE Trans. on Systems Man and Cybernetics, Part A – Systems and Humans 34, 531–534 (2004)

    Article  Google Scholar 

  5. Bäck, T., Fogel, D., Michalewicz, Z.: Evolutionary Computation 2. In: Advanced Algorithms and Operators. Institute of Physics Publishing, Bristol (2000)

    Google Scholar 

  6. Wey, H., Billings, S.A., Lui, J.: Term and Variable Selection for Nonlinear Models. Int. J. Control 77, 86–110 (2004)

    Article  Google Scholar 

  7. Kumar, A.V., Balasubramaniam, P.: Optimal Control for Linear Singular Systems Using Genetic Programming. Applied Mathematics and Computation 192, 78–89 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  8. Rodriguez-Vasquez, K., Flemming, P.J.: A Genetic Programming/NARMAX Approach to Nonlinear System Identification. In: 2nd International Conference on Genetic Algorithms in Engineering Systems: Innovations and Applications, GALESIA, pp. 409–414 (1997)

    Google Scholar 

  9. Deb, K.: Multiobjective Optimization using Evolutionary Algorithms. John Wiley and Sons, Chichester (2001)

    MATH  Google Scholar 

  10. Marcu, T., Mirea, L., Ferariu, L., Frank, P.M.: Miscellaneous Neural Networks Applied to Fault Detection and Isolation of an Evaporation Station. In: 4th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes. Elsevier, Budapest (2000)

    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

Ferariu, L., Patelli, A. (2009). Multiobjective Genetic Programming for Nonlinear System Identification. 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_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04921-7_24

  • 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