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Sugeno, Mamdani, and fuzzy Mamdani controllers put in a uniform interpolation framework
Author(s) -
Nowé A.
Publication year - 1998
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/(sici)1098-111x(199802/03)13:2/3<243::aid-int8>3.0.co;2-#
Subject(s) - computer science , interpolation (computer graphics) , fuzzy logic , artificial intelligence , fuzzy control system , mathematics , motion (physics)
Abstract In this paper we present a general framework for proving that fuzzy controllers are universal approximators. The framework results from the duality between fuzzy control and interpolation. An important aspect of this framework is its constructive nature, which allows us to prove the approximation capabilities of “crisp valued” as well as “fuzzy valued” fuzzy controllers. We also discuss a possible semantic interpretation of a fuzzy conclusion as a fuzzy restriction on the possible values a control action can take. Based on this semantic point of view, robust fuzzy controllers can be built. Where appropriate we refer to related work on the approximation capabilities of fuzzy controllers. © 1998 John Wiley & Sons, Inc.13: 243–256, 1998