Functional analysis and T-S fuzzy system design

Pham, Duc Truong and Qiu, Renxi 2005. Functional analysis and T-S fuzzy system design. Presented at: 16th IFAC World Congress 2005, Prague, Czech Republic, 4-8 July 2005. Published in: Zítek, P. ed. Proceedings of the 16th IFAC World Congress, 2005. World Congress (16/1) Laxenburg: International Federation of Automatic Control, 10.3182/20050703-6-CZ-1902.01473

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Abstract

This paper introduces the idea of viewing fuzzy modelling and fuzzy system design from a functional analysis perspective. Fuzzy transforms, which are based on the generalised Fourier transform in functional analysis, are proposed. It is demonstrated that, mathematically, a T-S fuzzy model is equivalent to a fuzzy transform. Hence the parameters of a T-S fuzzy system can be identified by solving equations constructed using the inner product between membership functions and a given target function. The functional point of view leads to an insight into the behaviour of a fuzzy system. It provides a theoretical basis for exploring improvements to the efficiency of T-S fuzzy modelling.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	fuzzy hybrid systems, fuzzy inference, fuzzy logic, fuzzy modelling, function approximation, transforms
Publisher:	International Federation of Automatic Control
ISBN:	9783902661753
ISSN:	1474-6670
Last Modified:	10 Oct 2017 14:38
URI:	https://orca.cardiff.ac.uk/id/eprint/36193

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