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Identification of Wiener systems with nonlinearity being piecewise-linear function

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Abstract

Identification of the Wiener system with the nonlinear block being a piecewise-linear function is considered in the paper, generalizing the results given by H. E. Chen to the case of noisy observation. Recursive algorithms are given for estimating all unknown parameters contained in the system, and their strong consistency is proved. The estimation method is similar to that used by H. E. Chen for Hammerstein systems with the same nonlinearity. However, the assumption imposed by H. E. Chen on the availability of an upper bound for the nonsmooth points of the piecewise-linear function has been removed in this paper with the help of designing an additional algorithm for estimating the upper bound.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Huang YiQing, Chen HanFu & Fang HaiTao

  2. Graduate School of the Chinese Academy of Sciences, Beijing, 100039, China

    Huang YiQing

Authors
  1. Huang YiQing
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  2. Chen HanFu
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  3. Fang HaiTao
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Corresponding author

Correspondence to Chen HanFu.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 60221301, 60334040, And 60474004)

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Huang, Y., Chen, H. & Fang, H. Identification of Wiener systems with nonlinearity being piecewise-linear function. Sci. China Ser. F-Inf. Sci. 51, 1–12 (2008). https://doi.org/10.1007/s11432-007-0071-0

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  • DOI: https://doi.org/10.1007/s11432-007-0071-0

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