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Existence of Single Input Rule Modules for Optimal Fuzzy Logic Control

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Knowledge-Based and Intelligent Information and Engineering Systems (KES 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6278))

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Abstract

The nonlinear feedback control whose feedback law is constructed by the SIRMs method is structured and presented mathematically. The set of SIRMs formed from the membership functions, important degrees and some parameters is compact by considering it to be a family of them. And by considering the fuzzy inference calculations as a composite functional on the family of the membership functions, its continuity is proved in functional analysis. Then, the existence of optimal solution of fuzzy feedback control using SIRMs method is derived from these facts.

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Author information

Authors and Affiliations

  1. University of Marketing and Distribution Sciences, Kobe, 651-2188, Japan

    Takashi Mitsuishi & Hidefumi Kawakatsu

  2. Shinshu University, Nagano, 380-8553, Japan

    Yasunari Shidama

Authors
  1. Takashi Mitsuishi
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  2. Hidefumi Kawakatsu
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  3. Yasunari Shidama
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Editor information

Editors and Affiliations

  1. School of Engineering, Cardiff University, The Parade, CF24 3AA, Cardiff, UK

    Rossitza Setchi

  2. Dept. of Computer Science and Software Engineering, University of Portsmouth, BUckingham Building, Lion Terrace, PO1 3HE, Portsmouth, UK

    Ivan Jordanov

  3. KES International, 145-157 St. John Street, EC1V 4PY, London, UK

    Robert J. Howlett

  4. School of Electrical and Information Engineering, University of South Australia, Adelaide, Mawson Lakes Campus, 5095, SA, Australia

    Lakhmi C. Jain

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© 2010 Springer-Verlag Berlin Heidelberg

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Mitsuishi, T., Kawakatsu, H., Shidama, Y. (2010). Existence of Single Input Rule Modules for Optimal Fuzzy Logic Control. In: Setchi, R., Jordanov, I., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2010. Lecture Notes in Computer Science(), vol 6278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15393-8_32

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  • DOI: https://doi.org/10.1007/978-3-642-15393-8_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15392-1

  • Online ISBN: 978-3-642-15393-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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