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Fuzzy Control of Uncertain Nonlinear Systems with Numerical Techniques: A Survey

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Advances in Computational Intelligence Systems (UKCI 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1043))

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Abstract

This paper provides an overview of numerical methods in order to solve fuzzy equations (FEs). It focuses on different numerical methodologies to solve FEs, dual fuzzy equations (DFEs), fuzzy differential equations (FDEs) and partial fuzzy differential equations (PFDEs). The solutions which are produced by these equations are taken to be the controllers. This paper also analyzes the existence of the roots of FEs and some important implementation problems. Finally, several examples are reviewed with different methods.

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Author information

Authors and Affiliations

  1. Centre for Artificial Intelligence Research (CAIR), University of Agder, Grimstad, Norway

    Raheleh Jafari

  2. Departamento de Control Automático, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico

    Sina Razvarz & Wen Yu

  3. School of Computing, University of Portsmouth, Buckingham Building, Portsmouth, PO1 3HE, UK

    Alexander Gegov

Authors
  1. Raheleh Jafari
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  2. Sina Razvarz
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  3. Alexander Gegov
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  4. Wen Yu
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Corresponding author

Correspondence to Raheleh Jafari .

Editor information

Editors and Affiliations

  1. School of Computing, University of Portsmouth, Portsmouth, UK

    Zhaojie Ju

  2. Department of Computer and Information Sciences, Northumbria University, Newcastle upon Tyne, UK

    Longzhi Yang

  3. Bristol Robotics Laboratory, University of the West of England, Bristol, UK

    Chenguang Yang

  4. School of Computing, University of Portsmouth, Portsmouth, Hampshire, UK

    Alexander Gegov

  5. School of Computing, University of Portsmouth, Portsmouth, UK

    Dalin Zhou

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Jafari, R., Razvarz, S., Gegov, A., Yu, W. (2020). Fuzzy Control of Uncertain Nonlinear Systems with Numerical Techniques: A Survey. In: Ju, Z., Yang, L., Yang, C., Gegov, A., Zhou, D. (eds) Advances in Computational Intelligence Systems. UKCI 2019. Advances in Intelligent Systems and Computing, vol 1043. Springer, Cham. https://doi.org/10.1007/978-3-030-29933-0_1

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