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From Type-1 to Type-2 Fuzzy Logic Control: A Stability and Robustness Study

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Hybrid Intelligent Systems

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 208))

Abstract

Stability is one of the more important aspects in the traditional knowledge of Automatic Control. Type-2 Fuzzy Logic is an emerging and promising area for achieving Intelligent Control (in this case, Fuzzy Control). In this work we use the Fuzzy Lyapunov Synthesis as proposed by Margaliot [11] to build a Lyapunov Stable Type-1 Fuzzy Logic Control System, and then we make an extension from a Type-1 to a Type-2 Fuzzy Logic Control System, ensuring the stability on the control system and proving the robustness of the correponding fuzzy controller.

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Author information

Authors and Affiliations

  1. Calzada del Tecnológico S/N, Tijuana Institute of Technology, Tijuana, BC, México

    Nohé Cázarez & Oscar Castillo

  2. CITEDI-IPN, Av. Del Parque #1310, Mesa de Otay, Tijuana, BC, México

    Luís Aguilar & Selene Cárdenas

Authors
  1. Nohé Cázarez
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  2. Oscar Castillo
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  3. Luís Aguilar
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  4. Selene Cárdenas
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  2. Department of Computer Science, Tijuana Institute of Technology, 4207, Chula Vista, CA, 91909, USA

    Patricia Melin

  3. Polish Academy of Sciences, Systems Research Institute, Newelska 6, Warszawa, 01-447, Poland

    Janusz Kacprzyk

  4. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, T6J 2V4, Canada

    Witold Pedrycz

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Cázarez, N., Castillo, O., Aguilar, L., Cárdenas, S. (2007). From Type-1 to Type-2 Fuzzy Logic Control: A Stability and Robustness Study. In: Castillo, O., Melin, P., Kacprzyk, J., Pedrycz, W. (eds) Hybrid Intelligent Systems. Studies in Fuzziness and Soft Computing, vol 208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37421-3_8

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  • DOI: https://doi.org/10.1007/978-3-540-37421-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37419-0

  • Online ISBN: 978-3-540-37421-3

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