Skip to main content

Decomposed Neuro-fuzzy ARX Model

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2275))

Abstract

This paper explores a new approach for the modelling and identification of non-linear dynamic systems. A model, named the Decomposed Neuro- Fuzzy Auto-Regressive with eXogenous input model (DNFARX), based on decomposed structure of the fuzzy inference system, is proposed. An evolution of a neural network learning algorithm for the decomposed structure of the fuzzy inference system is suggested. A comparative study of the dynamic system modelling with conventional fuzzy inference system based models and the proposed model is presented for Box-Jenkins data set.

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. Box, G.E.P., Jenkins, G.M.: Time Series Analysis, Forecasting and Control. Holden Day, San Francisco (1970)

    Google Scholar 

  2. Chung, F.-L., Duan, J.-C.: On Multistage Fuzzy Neural Network Modeling. IEEE Trans. Fuzzy Syst. 8 (2000) 125–142

    Article  Google Scholar 

  3. Costa Branco, P. J., Dante, J. A.: A New Algorithm for On-line Relational Identification of Nonlinear Dynamic Systems. Proceedings of the Second IEEE Int. Conf. Fuzzy Syst. (FUZZ-IEEE’93) (1993) 1173–1178

    Google Scholar 

  4. Czogala, E., Pedrycz, W.: On Identification in Fuzzy Systems and its Applications in Control Problems. Fuzzy Sets and Systems 6 (1981) 73–83

    Article  MATH  MathSciNet  Google Scholar 

  5. Golob, M., Tovornik, B.: Identification of Non-linear Dynamic Systems with Decomposed Fuzzy Models. In Proceedings of the 2000 IEEE Int. Conf. on Systems, Man & Cybernetics (SMC-IEEE’2000), October 8–11, 2000, Nashville (2000) 3520–3525.

    Google Scholar 

  6. Jin, Y.: Fuzzy Modeling of High-Dimensional Systems: Complexity Reduction and Interpretability Improvement. IEEE Trans. Fuzzy Syst. 8 (2000) 212–221

    Article  Google Scholar 

  7. Lee, C.C.: Fuzzy Logic in Control Systems: Fuzzy Logic Controller-Part I and II. IEEE Trans. System Man Cybernet. SMC-20 (1990) 404–435

    Article  MATH  Google Scholar 

  8. Ljung, L., Soderstrom, T.: Theory and Practice of Recursive Identification. The MIT Press, London (1983)

    MATH  Google Scholar 

  9. Pedrycz, W.: Identification Algorithm in Fuzzy Relational Systems. Fuzzy Sets and Systems 13 (1984) 153–167

    Article  MATH  MathSciNet  Google Scholar 

  10. Jang, J.-S.: ANFIS: Adaptive-Network-Based Fuzzy Inference Systems. IEEE Trans. Systems Man Cybernet. 23 (1993) 665–684

    Article  Google Scholar 

  11. Jang, J.-S.: Input Selection for ANFIS Learning. In Proc. IEEE Int. Conf. Fuzzy Syst. (FUZZ-IEEE’97) (1996) 1493–1499

    Google Scholar 

  12. Sugeno, M., Yasukawa, T.: A Fuzzy-Logic-Based Approach to Qualitative Modeling. IEEE Trans. on Fuzzy Systems, 1(1) (1993) 7–31

    Article  Google Scholar 

  13. Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and its Applications to Modelling and Control. IEEE trans. System Man Cybernet. SMC-15 (1985) 116–132

    MATH  Google Scholar 

  14. Wang, L.-X.: Design and Analysis of Fuzzy Identifiers of Nonlinear Dynamic Systems, IEEE Trans. on Automatic Control, 40(1) (1995) 11–23

    Article  MATH  Google Scholar 

  15. Yam, Y., Baranyi, P., Yang, C.-T.: Reduction of Fuzzy Rule Base Via Singular Value Decomposition. IEEE Trans. Fuzzy Syst. 7 (1999) 120–132

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Golob, M., Tovornik, B. (2002). Decomposed Neuro-fuzzy ARX Model. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_35

Download citation

  • DOI: https://doi.org/10.1007/3-540-45631-7_35

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43150-3

  • Online ISBN: 978-3-540-45631-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics