Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems

Natache S.D. Arrifano; Vilma A. Oliveira

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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.)

Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems

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Author(s):	Natache S.D. Arrifano ^[1] ; Vilma A. Oliveira ^[2] Total Authors: 2
Affiliation:	^[1] Universidade de São Paulo. Departamento de Engenharia Elétrica - Brasil ^[2] Universidade de São Paulo. Departamento de Engenharia Elétrica - Brasil Total Affiliations: 2
Document type:	Journal article
Source:	COMPUTATIONAL & APPLIED MATHEMATICS; v. 24, n. 1, p. 51-63, 2005-04-00.
Abstract
Stability analysis and a systematic robust fuzzy control design for uncertain nonlinear systems with polytopic uncertainties are presented. The approach given uses the T-S fuzzy systems which are represented by a family of local uncertain linear systems with aggregation. The resulting fuzzy controller is a blending of state feedback gains obtained from a guaranteed cost control (GCC) problem. A sufficient condition for the robust stability of the feedback T-S fuzzy system with uncertainties using a quadratic Lyapunov function is given. A feature of the proposed approach is that an upper bound on the guaranteed cost is minimized by solving an optimization problem with linear matrix inequalities (LMIs). (AU)

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