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Comparison of Reasoning Methods for Fuzzy Control

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Artificial Intelligence and Soft Computing - ICAISC 2004 (ICAISC 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3070))

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Abstract

Many of the reasoning methods are suitable neither for fuzzy control nor for fuzzy modeling. In the paper some possible reasoning methods are compared from this point of view. The author proposes new methods for fuzzy control, better than Mamdani, Larsen, Tsukamoto. Fuzzy systems are described by a set of rules using connectives ”and”, ”or”, ”also”. Different aggregation operators, as triangular norms and mean operations, are used for interpretation of these connectives. In the paper are discussed possible interpretations for if ... then rules, as different implications and other operations, in combination with defuzzification methods. Examples of the systems with PID fuzzy controllers are presented using different reasoning methods, aggregation operations, and linear and nonlinear plants. Some best methods are proposed.

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Author information

Authors and Affiliations

  1. Warsaw University of Technology, Institute of Electronic Systems, Nowowiejska 15/19, 00-665, Warsaw, Poland

    Bohdan Butkiewicz

Authors
  1. Bohdan Butkiewicz
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Editor information

Editors and Affiliations

  1. Department of Artificial Intelligence, Academy of Humanities and Economics, Poland

    Leszek Rutkowski

  2. German Research Center of Artificial Intelligence (DFKI), Germany

    Jörg H. Siekmann

  3. Institute of Automatics, AGH University of Science and Technology, Al. Mickiewicza 30, PL-30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  4. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, Initiative in Soft Computing (BISC), 94720-1776, Berkeley, CA

    Lotfi A. Zadeh

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© 2004 Springer-Verlag Berlin Heidelberg

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Butkiewicz, B. (2004). Comparison of Reasoning Methods for Fuzzy Control. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds) Artificial Intelligence and Soft Computing - ICAISC 2004. ICAISC 2004. Lecture Notes in Computer Science(), vol 3070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24844-6_38

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  • DOI: https://doi.org/10.1007/978-3-540-24844-6_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22123-4

  • Online ISBN: 978-3-540-24844-6

  • eBook Packages: Springer Book Archive

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