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MILM hybrid identification method of fractional order neural-fuzzy Hammerstein model

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Abstract

Aiming at the difficult identification of fractional order Hammerstein nonlinear systems, including many identification parameters and coupling variables, unmeasurable intermediate variables, difficulty in estimating the fractional order, and low accuracy of identification algorithms, a multiple innovation Levenberg–Marquardt algorithm (MILM) hybrid identification method based on the fractional order neuro-fuzzy Hammerstein model is proposed. First, a fractional order discrete neuro-fuzzy Hammerstein system model is constructed; secondly, the neuro-fuzzy network structure and network parameters are determined based on fuzzy clustering, and the self-learning clustering algorithm is used to determine the antecedent parameters of the neuro-fuzzy network model; then the multiple innovation principle is combined with the Levenberg–Marquardt algorithm, and the MILM hybrid algorithm is used to estimate the linear module parameters and fractional order. Finally, the academic example of the fractional order Hammerstein nonlinear system and the example of a flexible manipulator are identified to prove the effectiveness of the proposed algorithm.

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At present, this paper completely describes the theoretical research and does not analyze the data set during the research period. The collection of data set is random according to different readers, but some codes can be provided by contacting the corresponding author.

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Funding

This work was supported by the National Natural Science Foundation of China (Grant number 61863034) and the Autonomous Region Graduate Research and Innovation Project (Grant number XJ2019G060).

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Authors and Affiliations

  1. School of Electrical Engineering, Xinjiang University, Urumqi, 830047, People’s Republic of China

    Qian Zhang, Hongwei Wang & Chunlei Liu

  2. School of Control Science and Engineering Dalian, University of Technology, Dalian, 110024, People’s Republic of China

    Hongwei Wang

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  1. Qian Zhang
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  2. Hongwei Wang
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  3. Chunlei Liu
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Correspondence to Qian Zhang or Chunlei Liu.

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Zhang, Q., Wang, H. & Liu, C. MILM hybrid identification method of fractional order neural-fuzzy Hammerstein model. Nonlinear Dyn 108, 2337–2351 (2022). https://doi.org/10.1007/s11071-022-07303-y

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