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Data-Driven Arithmetic Fuzzy Control Using the Distending Function

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Human Interaction and Emerging Technologies (IHIET 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1018))

Abstract

Data-driven fuzzy control techniques suffer from the flat structure problem, i.e. the number of fuzzy rules grows exponentially as the input dimension increases. The consequence is greater complexity and poorer interpretability. In this article, we present a solution to the above-mentioned problem by proposing a novel data-driven fuzzy controller. Its unique features are: (1) A new type of membership function is used; (2) It helps to identify few and important fuzzy rules; (3) These rules cover the whole input space; (4) Dombi operators (usually the conjunctive) are employed to generate a higher dimensional control surface; (5) The designed fuzzy controller is based on fuzzy arithmetic operations; (6) Defuzzification is single step calculation. Due to the small number of fuzzy rules, the complexity of the fuzzy model decreases and it becomes interpretable. The effectiveness of the proposed scheme is demonstrated using the data-driven based control of vehicle lateral dynamics.

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Acknowledgments

This research work was supported by the European Union and co-funded by the European Social Fund (EFOP-3.6.3-VEKOP-16-2017-0002).

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Authors and Affiliations

  1. Institute of Informatics, University of Szeged, Szeged, 6720, Hungary

    József Dombi & Abrar Hussain

Authors
  1. József Dombi
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  2. Abrar Hussain
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Corresponding author

Correspondence to Abrar Hussain .

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Editors and Affiliations

  1. Institute for Advanced Systems Engineering, University of Central Florida, Orlando, FL, USA

    Tareq Ahram

  2. Université de Reims Champagne Ardenne, GRESPI, Reims, France

    Redha Taiar

  3. Laboratoire Motricité Humaine, Expertise, Sport, Santé, Université Côte d’Azur, Nice Cedex 3, France

    Serge Colson

  4. IFMK Niçois, Université Côte d’Azur, Nice Cedex 3, France

    Arnaud Choplin

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Dombi, J., Hussain, A. (2020). Data-Driven Arithmetic Fuzzy Control Using the Distending Function. In: Ahram, T., Taiar, R., Colson, S., Choplin, A. (eds) Human Interaction and Emerging Technologies. IHIET 2019. Advances in Intelligent Systems and Computing, vol 1018. Springer, Cham. https://doi.org/10.1007/978-3-030-25629-6_34

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  • DOI: https://doi.org/10.1007/978-3-030-25629-6_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-25628-9

  • Online ISBN: 978-3-030-25629-6

  • eBook Packages: EngineeringEngineering (R0)

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