Skip to main content

The Multi-innovation Based RLS Method for Hammerstein Systems

  • Conference paper
  • First Online:
Theory, Methodology, Tools and Applications for Modeling and Simulation of Complex Systems (AsiaSim 2016, SCS AutumnSim 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 643))

Included in the following conference series:

  • 1669 Accesses

Abstract

In the study, a multi-innovation RLS with a forgetting factor (FF-MRLS) method is put forward to identify the parameters of a class of Hammerstein model. Two simulation experiments verify the proposed method is superior to the conventional FF-RLS method in terms of convergence rate and tracking performance.

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

Access this chapter

Institutional subscriptions

References

  1. Dong, R., Tan, Q., Tan, Y.: Recursive identification algorithm for dynamic systems with output backlash and its convergence. Int. J. Appl. Math. Comput. Sci. 19(4), 631–638 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  2. Barreiro, A., Baños, A.: Input–output stability of systems with backlash. Automatica 42(6), 1017–1024 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Vörös, J.: Parametric identification of systems with general backlash. Informatica 23(2), 283–298 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  4. Vörös, J.: Modeling and identification of systems with backlash. Automatica 46(2), 369–374 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ding, F., Chen, T.: Performance analysis of multi-innovation gradient type identification methods. Automatica 43(1), 1–14 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Ding, F.: Several multi-innovation identification methods. Digit. Signal Process. 20(4), 1027–1039 (2010)

    Article  Google Scholar 

  7. Toplis, B., Pasupathy, S.: Tracking improvements in fast RLS algorithms using a variable forgetting factor. IEEE Trans. Acoust. Speech Signal Process. 36(2), 206–227 (1988)

    Article  MATH  Google Scholar 

  8. Vörös, J.: Identification of nonlinear cascade systems with time-varying backlash. J. Electr. Eng. 62(2), 87–92 (2011)

    Google Scholar 

  9. Wang, D., Chu, Y., Yang, G., Ding, F.: Auxiliary model based recursive generalized least squares parameter estimation for Hammerstein OEAR systems. Math. Comput. Model. 52(1), 309–317 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Wang, D., Chu, Y., Ding, F.: Auxiliary model-based RELS and MI-ELS algorithm for Hammerstein OEMA systems. Comput. Math Appl. 59(9), 3092–3098 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  11. Ljung, L., Söderström, T.: Theory and practice of recursive identification (1983)

    Google Scholar 

  12. Janczak, A.: Identification of nonlinear systems using neural networks and polynomial models: a block-oriented approach. Springer Science & Business Media, Berlin (2004)

    MATH  Google Scholar 

  13. Ding, F., Liu, P.X., Liu, G.: Multi-innovation least-squares identification for system modeling. IEEE Trans. Syst. Man Cybern. B Cybern. 40(3), 767–778 (2010)

    Article  Google Scholar 

  14. Bittanti, S., Bolzern, P., Campi, M.: Convergence and exponential convergence of identification algorithms with directional forgetting factor. Automatica 26(5), 929–932 (1990)

    Article  MATH  Google Scholar 

  15. Ding, F., Liu, G., Liu, X.P.: Parameter estimation with scarce measurements. Automatica 47(8), 1646–1655 (2011)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

This work is supported by National Hi-tech Research and Development Program of China (863 Program, Grant No. 2014AA041505), the National Science Foundation of China (61572238), the Provincial Outstanding Youth Foundation of Jiangsu Province (BK20160001).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhicheng Ji .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Science+Business Media Singapore

About this paper

Cite this paper

Shi, Z., Ji, Z., Wang, Y. (2016). The Multi-innovation Based RLS Method for Hammerstein Systems. In: Zhang, L., Song, X., Wu, Y. (eds) Theory, Methodology, Tools and Applications for Modeling and Simulation of Complex Systems. AsiaSim SCS AutumnSim 2016 2016. Communications in Computer and Information Science, vol 643. Springer, Singapore. https://doi.org/10.1007/978-981-10-2663-8_12

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-2663-8_12

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2662-1

  • Online ISBN: 978-981-10-2663-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics