Skip to main content

Nonlinear System Identification Based on Recurrent Wavelet Neural Network

  • Chapter
The Sixth International Symposium on Neural Networks (ISNN 2009)

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 56))

Abstract

Based on Elman network, the recurrent wavelet neural network (RWNN) is presented, and the extended kalman filter of RWNN is given in this paper. The recurrent wavelet neural network (RWNN) can be used in the nonlinear system identification successfully. Practical example shows that RWNN has a faster convergence as well as a better precision in calculation, and a good result on the nonlinear system identification is got, which means it has a broad prospect on application.

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
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. Elman, J.L.: Finding structure in Time. Cognitive Science 14, 179–211 (1990)

    Article  Google Scholar 

  2. Oussar, Y., Rivals, I., Personnaz, L., et al.: Training Wavelet Networks for Nonlinear Dynamic Input-output Modeling. Neurocomputing 20, 173–188 (1998)

    Article  MATH  Google Scholar 

  3. Liang, F., Tan, Y.: Using Wavelet Neural Network in Non-linear System Identification. Journal of Guilin Institute of Electronic Techology 20(1), 18–22 (2000) (in Chinese)

    Google Scholar 

  4. Srivastava, S., Singh, M., Hanmandlu, M., Jha, A.N.: New Fuzzy Wavelet Neural Networks for System Identifiation and Control. Applied Soft Computing 6, 1–17 (2005)

    Article  Google Scholar 

  5. Matthews, M.B.: Neural Network Nonlinear Adaptive Filtering Using- the Extended Kalman Filter Algorithm. In: Proceedings of the International Neural networks Conference, Paris, vol. I, pp. 115–119 (1990)

    Google Scholar 

  6. Williams, R.J.: Some Observations on the Use of the Extended Kalman Filter as a Recurrent Network Learning Algorithm. Technical Report NU-CCS-92-1. Northeastern University, College of Computer Science, Boston (1992)

    Google Scholar 

  7. Williams, R.J.: Training Recurrent Networks Using the Extended Kalman Filter. In: International Joint Conference on Neural Networks, VBaltimore, vol. IV, pp. 241–246 (1992)

    Google Scholar 

  8. Puskorius, G.V., Feldkamp, L.A.: Neurocontrol of Nonlinear Dynamical Systems with Kalman Filter Trained Recurrent Networks. IEEE Trans. on Neural Networks 5, 279–297 (1994)

    Article  Google Scholar 

  9. Yuan, X., Liu, S.: Study on Neural Network Simulation of Dynamic System. Water Resources and Hydropower Engineering 3, 38–42 (1998)

    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 chapter

Cite this chapter

Zhao, F., Hu, L., Li, Z. (2009). Nonlinear System Identification Based on Recurrent Wavelet Neural Network. In: Wang, H., Shen, Y., Huang, T., Zeng, Z. (eds) The Sixth International Symposium on Neural Networks (ISNN 2009). Advances in Intelligent and Soft Computing, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01216-7_54

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01216-7_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01215-0

  • Online ISBN: 978-3-642-01216-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics