Skip to main content

Nonlinear Robust Identification with ε – GA: FPS Under Several Norms Simultaneously

  • Conference paper
Computational Intelligence and Bioinspired Systems (IWANN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3512))

Included in the following conference series:

Abstract

In nonlinear robust identification context, a process model is represented by a nominal model and possible deviations. With parametric models this process model can be expressed as the so-called Feasible Parameter Set (FPS), which derives from the minimization of identification error specific norms. In this work, several norms are used simultaneously to obtain the FPS. This fact improves the model quality but, as counterpart, it increases the optimization problem complexity resulting in a multimodal problem with an infinite number of minima with the same value which constitutes FPS contour. A special Evolutionary Algorithm (ε– GA) has been developed to find this contour. Finally, an application to a thermal process identification is presented.

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 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. Coello, C., Veldhuizen, D., Lamont, G.: Evolutionary algorithms for solving multi-objective problems. Kluwer Academic Publishers, Dordrecht (2002)

    MATH  Google Scholar 

  2. Garulli, A., Reinelt, W.: Model error modeling in set membership identification. In: Proc. of the System Identification Symposium (2000)

    Google Scholar 

  3. Goodwin, G., Braslavsky, J., Seron, M.: Non-stationary stochastic embedding for transfer function estimation. In: Proc. of the 14th IFAC World Congress (1999)

    Google Scholar 

  4. Keesman, K.J.: Membership-set estimation using random scanning and principal component analysis. Mathematics and Computers in Simulation 32, 535–544 (1990)

    Article  MathSciNet  Google Scholar 

  5. Laumanns, M., Thiele, L., Deb, K., Zitzler, E.: Combining convergence and diversity in evolutionary multi-objective optimization. Evolutionary computation 10(3) (2002)

    Google Scholar 

  6. Milanese, M., Vicino, A.: Optimal Estimation theory for Dynamic Systems with Set Membership Uncertainty: An Overview. Automatica 27(6), 997–1009 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  7. Norton, J., Veres, S.: Identification of nonlinear state-space models by deterministic search. In: Proc. of the IFAC Symposium on Identification and system parameter estimation, vol. 1, pp. 363–368 (1991)

    Google Scholar 

  8. Reinelt, W., Garulli, A., Ljung, L.: Comparing different approaches to model error modelling in robust identification. Automatica 38(5), 787–803 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  9. Walter, E., Kieffer, M.: Interval analysis for guaranteed nonlinear parameter estimation. In: Proc. of the 13th IFAC Symposium on System Identification (2003)

    Google Scholar 

  10. Walter, E., Piet-Lahanier, H.: Estimation of parameter bounds from bounded-error data: A survey. Mathematics and computers in Simulation 32, 449–468 (1990)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Herrero, J.M., Blasco, X., Martínez, M., Ramos, C. (2005). Nonlinear Robust Identification with ε – GA: FPS Under Several Norms Simultaneously. In: Cabestany, J., Prieto, A., Sandoval, F. (eds) Computational Intelligence and Bioinspired Systems. IWANN 2005. Lecture Notes in Computer Science, vol 3512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11494669_122

Download citation

  • DOI: https://doi.org/10.1007/11494669_122

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26208-4

  • Online ISBN: 978-3-540-32106-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics