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Block-oriented Nonlinear System Identification pp 53–65Cite as

Iterative Identification of Hammerstein Systems

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 404))

Abstract

The iterative method was first proposed to estimate Hammerstein system in [9]. It is a very simple and efficient algorithm. In general, the convergence of iterative algorithm can be a problem [12]. It was recently shown that iterative algorithms with normalisation possess some global convergence properties in identification of Hammerstein system with smooth nonlinearity and finite impulse response (FIR) linear part [3, 4, 11]. The convergence for an infinite impulse response (IIR) system was however not solved. In this chapter, the results are extended to Hammerstein systems with an IIR linear part. The global convergence for an IIR system is established for the odd nonlinearities.

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References

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Author information

Authors and Affiliations

  1. Dept. of Electrical and Computer Engineering, University of Iowa,  

    Yun Liu & Er-Wei Bai

Authors
  1. Yun Liu
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  2. Er-Wei Bai
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Editors and Affiliations

  1. Laboratoire GREYC, Ensicaen, Campus Cote de Nacre, Boulevard du Marechal Juin, BP 5186, 14032, Caen Cedex, France

    Fouad Giri

  2. Seamans Center for the Engineering Arts and Sciences, The University of Iowa, 52242 1527, Iowa City, IA, USA

    Er-Wei Bai

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Liu, Y., Bai, EW. (2010). Iterative Identification of Hammerstein Systems. In: Giri, F., Bai, EW. (eds) Block-oriented Nonlinear System Identification. Lecture Notes in Control and Information Sciences, vol 404. Springer, London. https://doi.org/10.1007/978-1-84996-513-2_5

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  • DOI: https://doi.org/10.1007/978-1-84996-513-2_5

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84996-512-5

  • Online ISBN: 978-1-84996-513-2

  • eBook Packages: EngineeringEngineering (R0)

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