Skip to main content

An Expert System for the Identification of Nonlinear Dynamical Systems

  • Conference paper
Intelligent Computing (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4113))

Included in the following conference series:

Abstract

This paper describes an Expert System that can detect and quantify the nonlinearity present in a given dynamical system and, subsequently, determine and apply the most suitable nonlinear system identification method. The internal workings, algorithms and decision making processes of the Expert System are discussed. For demonstration purposes the Expert System is applied to a nonlinear experimental test-rig. The results show that the Expert System is an automatic tool that will detect nonlinearity, choose the best class of model for the system under investigation and perform optimal parameter estimation, so that the resulting identified models are parsimonious and accurate.

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. Chen, S., Billings, S.A.: Representations of non-linear systems: the NARMAX model. International Journal of Control 49(3), 1013–1032 (1989)

    MATH  MathSciNet  Google Scholar 

  2. Simon, M., Tomlinson, G.R.: Use of the Hilbert transform in modal analysis of linear and non-linear structures. Journal of Sound and Vibration 96(4), 421–436 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  3. Feldman, M.: Nonlinear system vibration analysis using hilbert transform - i. free vibration analysis method freevib. Mechanical Systems and Signal Processing 8(2), 119–127 (1994)

    Article  Google Scholar 

  4. Volterra, V. (ed.): Theory of Functionals and Integral Equations. Dover, New York (1959)

    MATH  Google Scholar 

  5. Crawley, E.F., Aubert, A.C.: Identification of nonlinear structural elements by force-state mapping. AIAA Journal 24(1), 155–162 (1986)

    Article  Google Scholar 

  6. Worden, K., Tomlinson, G.R.: Nonlinear vibrations. Sheffield University Press, Sheffield (2000)

    Google Scholar 

  7. Dimitriadis, G.: Experimental validation of the Constant Level method for identification of nonlinear multi degree of freedom systems. Journal of Sound and Vibration 258(5), 829–845 (2000)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dimitriadis, G., Vio, G.A., Shi, D. (2006). An Expert System for the Identification of Nonlinear Dynamical Systems. In: Huang, DS., Li, K., Irwin, G.W. (eds) Intelligent Computing. ICIC 2006. Lecture Notes in Computer Science, vol 4113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11816157_158

Download citation

  • DOI: https://doi.org/10.1007/11816157_158

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37271-4

  • Online ISBN: 978-3-540-37273-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics