Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach

Natache S. D. Arrifano; Vilma A. Oliveira; Lúcia V. Cossi

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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach

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Author(s):	Natache S. D. Arrifano ^[1] ; Vilma A. Oliveira ^[2] ; Lúcia V. Cossi ^[3] Total Authors: 3
Affiliation:	^[1] Universidade de São Paulo. Departamento de Engenharia Elétrica - Brasil ^[2] Universidade de São Paulo. Departamento de Engenharia Elétrica - Brasil ^[3] Universidade Federal da Paraíba. Departamento de Matemática - Brasil Total Affiliations: 3
Document type:	Journal article
Source:	Sba : Controle & Automação; v. 17, n. 2, p. 213-225, 2006-06-00.
Abstract
A new stability analysis and design of a fuzzy switching control based on uncertain Takagi-Sugeno fuzzy systems are proposed. The fuzzy system adopted is composed by a family of local linear uncertain systems with aggregation. The control design proposed uses local state feedback gains obtained from an optimization problem with guaranteed cost performance formulated in the context of linear matrix inequalities and a fuzzy switching scheme built from local Lyapunov functions. The global stability is guaranteed by considering a class of piecewise quadratic Lyapunov functions. Examples are given to illustrate the applicability of the proposed approach. (AU)

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