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Membership function shape and the dynamic behaviour of fuzzy systems
Author(s) -
Baglio S.,
Fortuna L.,
Graziani S.,
Muscato G.
Publication year - 1994
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480080406
Subject(s) - fuzzy logic , membership function , chaotic , function (biology) , control theory (sociology) , mathematics , variety (cybernetics) , fuzzy control system , parametrization (atmospheric modeling) , computer science , artificial intelligence , control (management) , physics , evolutionary biology , biology , quantum mechanics , radiative transfer
In this paper the influence of the shape of the membership functions on the dynamic behaviour of a fuzzy controlled system is investigated. Although several works on fuzzy logic have been presented in the literature, few efforts have been made to characterize the dynamic behaviour of a fuzzy system through the shape of the membership functions. A parametrization for a class of membership functions is introduced in this work, resulting in a variety of shapes. Various system steady state dynamics are analysed as a consequence of this change in shape and chaotic dynamics is shown to arise for some membership function shapes.