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The Multiple Facets of Fuzzy Controllers: Look-up-Tables—A Special Class of Fuzzy Controllers

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Granular, Soft and Fuzzy Approaches for Intelligent Systems

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 344))

Abstract

Look-up table (LUT) controllers are among the most widely utilized control tools in engineering practice. The reasons for their popularity include simplicity, easy to use, inexpensive hardware implementation, and strong nonlinearity and multimodal behaviors that can be formalized, in many cases, only by experimentally measured data. In a previous paper, we showed that the two-dimensional (2D) LUT controllers and one special type of two-input Mamdani fuzzy controllers are connected in that they have the identical input-output mathematical relation. We also demonstrated how to represent the LUT controllers by the fuzzy controllers. Finally, we showed how to determine the local stability of the LUT control systems. In the present work, we extend these results to the n-dimensional LUT controllers and the special type of the n-input Mamdani fuzzy controllers.

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Author information

Authors and Affiliations

  1. Research & Innovation Center, Ford Motor Company, Dearborn, MI, USA

    Dimitar Filev

  2. Department of Electrical and Computer Engineering, Wayne State University, Detroit, MI, USA

    Hao Ying

Authors
  1. Dimitar Filev
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  2. Hao Ying
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Correspondence to Dimitar Filev .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Research and Innovation Center, Ford Motor Company, Dearborn, Michigan, USA

    Dimitar Filev

  3. Deakin University, Burwood, Victoria, Australia

    Gleb Beliakov

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Filev, D., Ying, H. (2017). The Multiple Facets of Fuzzy Controllers: Look-up-Tables—A Special Class of Fuzzy Controllers . In: Kacprzyk, J., Filev, D., Beliakov, G. (eds) Granular, Soft and Fuzzy Approaches for Intelligent Systems. Studies in Fuzziness and Soft Computing, vol 344. Springer, Cham. https://doi.org/10.1007/978-3-319-40314-4_10

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  • DOI: https://doi.org/10.1007/978-3-319-40314-4_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40312-0

  • Online ISBN: 978-3-319-40314-4

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