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Fractal-fractional neuro-adaptive method for system identification

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Abstract

Neuronal networks are used in different fields of science and technology due to their capacity to approximate nonlinear functions through the synaptic weights optimization. This work shows a new form of optimization for neuronal networks based in fractional calculus. The fractional adaptation algorithm proposed was used to identify mechanical, electrical and biological systems. In each of the experiments a comparison between the proposed fractal-fractional model and the conventional model (with derivation order equal to one) was made.

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Acknowledgements

José Francisco Gómez Aguilar acknowledges the support provided by CONACyT: Cátedras CONACyT para jóvenes investigadores 2014 and SNI-CONACyT. The Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia funded this project, under grant no. (FP-109-42).

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Authors and Affiliations

  1. Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P., 62490, Cuernavaca, Morelos, Mexico

    C. J. Zúñiga-Aguilar

  2. CONACyT, Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P., 62490, Cuernavaca, Morelos, México

    J. F. Gómez-Aguilar

  3. Université Grenoble Alpes, 38000, Grenoble, France

    H. M. Romero-Ugalde

  4. CEA LETI MINATEC Campus, 38054, Grenoble, France

    H. M. Romero-Ugalde

  5. Department of Mechanical Engineering, University of Manitoba, Winnipeg, R3T 5V6, Canada

    Hadi Jahanshahi

  6. Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia

    Fawaz E. Alsaadi

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  1. C. J. Zúñiga-Aguilar
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  2. J. F. Gómez-Aguilar
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  3. H. M. Romero-Ugalde
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All authors contributed equally and significantly in writing this article. All authors read and approved the final manuscript.

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Correspondence to J. F. Gómez-Aguilar.

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Zúñiga-Aguilar, C.J., Gómez-Aguilar, J.F., Romero-Ugalde, H.M. et al. Fractal-fractional neuro-adaptive method for system identification. Engineering with Computers 38, 3085–3108 (2022). https://doi.org/10.1007/s00366-021-01314-w

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