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NARX Deep Convolutional Fuzzy System for Modelling Nonlinear Dynamic Processes

Author

Listed:
  • Marjan Golob

    (Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroška cesta 46, SI-2000 Maribor, Slovenia)

Abstract

This paper presents a new approach for modelling nonlinear dynamic processes (NDP). It is based on a nonlinear autoregressive with exogenous (NARX) inputs model structure and a deep convolutional fuzzy system (DCFS). The DCFS is a hierarchical fuzzy structure, which can overcome the deficiency of general fuzzy systems when facing high dimensional data. For relieving the curse of dimensionality, as well as improving approximation performance of fuzzy models, we propose combining the NARX with the DCFS to provide a good approximation of the complex nonlinear dynamic behavior and a fast-training algorithm with ensured convergence. There are three NARX DCFS structures proposed, and the appropriate training algorithm is adapted. Evaluations were performed on a popular benchmark—Box and Jenkin’s gas furnace data set and the four nonlinear dynamic test systems. The experiments show that the proposed NARX DCFS method can be successfully used to identify nonlinear dynamic systems based on external dynamics structures and nonlinear static approximators.

Suggested Citation

  • Marjan Golob, 2023. "NARX Deep Convolutional Fuzzy System for Modelling Nonlinear Dynamic Processes," Mathematics, MDPI, vol. 11(2), pages 1-22, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:304-:d:1027774
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    References listed on IDEAS

    as
    1. Li-Xin Wang, 2018. "Fast Training Algorithms for Deep Convolutional Fuzzy Systems with Application to Stock Index Prediction," Papers 1812.11226, arXiv.org, revised Aug 2019.
    2. Ebubekir Kaya, 2022. "A New Neural Network Training Algorithm Based on Artificial Bee Colony Algorithm for Nonlinear System Identification," Mathematics, MDPI, vol. 10(19), pages 1-27, September.
    3. Eduardo Rangel & Erasmo Cadenas & Rafael Campos-Amezcua & Jorge L. Tena, 2020. "Enhanced Prediction of Solar Radiation Using NARX Models with Corrected Input Vectors," Energies, MDPI, vol. 13(10), pages 1-22, May.
    Full references (including those not matched with items on IDEAS)

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