GA optimization of generalized OBF TS fuzzy models with global and local estimation approaches

Medeiros, Anderson V., Amaral, Wagner C., and Campello, Ricardo J.G.B. (2006) GA optimization of generalized OBF TS fuzzy models with global and local estimation approaches. In: Proceedings of the 2006 IEEE International Conference on Fuzzy Systems. pp. 1835-1842. From: 2006 IEEE International Conference on Fuzzy Systems, 16-21 July 2006, Vancouver, Canada.

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Abstract

OBF (orthonormal basis function) fuzzy models have shown to be a promising approach to the areas of nonlinear system identification and control since they exhibit several advantages over those dynamic model topologies usually adopted in the literature. A more general architecture, called generalized OBF Takagi-Sugeno fuzzy model, was introduced in previous work and provided the mathematical interpretation that was missing to the former OBF fuzzy models. In spite of its clear mathematical meaning, however, the identification of this new generalized model is not a trivial task. This paper discusses the use of a genetic algorithm (GA) especially designed for this task, where a fitness function based on the Akaike information criterion plays a key role by considering both model accuracy and parsimony aspects. The hybridization of the GA with classical estimation algorithms is also investigated. Specifically, two different hybridization approaches (with global and local least squares) are evaluated in the modeling of a real nonlinear magnetic levitation system.

Item ID: 46797
Item Type: Conference Item (Research - E1)
ISBN: 978-0-7803-9488-9
Date Deposited: 17 Jul 2017 03:46
FoR Codes: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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