From type-1 to type-2 fuzzy logic control: A stability and robustness study

Nohé Cázarez; Oscar Castillo; Luís Aguilar; Selene Cárdenas

doi:10.1007/978-3-540-37421-3_8

From type-1 to type-2 fuzzy logic control: A stability and robustness study

Nohé Cázarez, Oscar Castillo, Luís Aguilar, Selene Cárdenas

Centro de Investigación y Desarrollo de Tecnología Digital (CITEDI)

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

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.

Original language	English
Title of host publication	Hybrid Intelligent Systems
Subtitle of host publication	Analysis and Design
Editors	Oscar Castillo, Patricia Melin, Oscar Castillo, Patricia Melin, Witold Pedrycz, Janusz Kacprzyk
Pages	135-149
Number of pages	15
DOIs	https://doi.org/10.1007/978-3-540-37421-3_8
State	Published - 2007

Publication series

Name	Studies in Fuzziness and Soft Computing
Volume	208
ISSN (Print)	1434-9922

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10.1007/978-3-540-37421-3_8

Cite this

Cázarez, N., Castillo, O., Aguilar, L., & Cárdenas, S. (2007). From type-1 to type-2 fuzzy logic control: A stability and robustness study. In O. Castillo, P. Melin, O. Castillo, P. Melin, W. Pedrycz, & J. Kacprzyk (Eds.), Hybrid Intelligent Systems: Analysis and Design (pp. 135-149). (Studies in Fuzziness and Soft Computing; Vol. 208). https://doi.org/10.1007/978-3-540-37421-3_8

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From type-1 to type-2 fuzzy logic control: A stability and robustness study. / Cázarez, Nohé; Castillo, Oscar; Aguilar, Luís et al.
Hybrid Intelligent Systems: Analysis and Design. ed. / Oscar Castillo; Patricia Melin; Oscar Castillo; Patricia Melin; Witold Pedrycz; Janusz Kacprzyk. 2007. p. 135-149 (Studies in Fuzziness and Soft Computing; Vol. 208).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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From type-1 to type-2 fuzzy logic control: A stability and robustness study

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