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

Autor(es)

Natache S.D. Arrifano ^[1] ; Vilma A. Oliveira ^[2]

Afiliação do(s) autor(es)

^[1] Universidade de São Paulo. Departamento de Engenharia Elétrica - Brasil

^[2] Universidade de São Paulo. Departamento de Engenharia Elétrica - Brasil

• Tipo de documento: Artigo Científico
• Fonte: COMPUTATIONAL & APPLIED MATHEMATICS; v. 24, n. 1, p. 51-63, 2005-04-00.

Resumo

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)

• Processo FAPESP: 00/05060-1 - Estabilidade robusta e estabilizacao de sistemas nao-lineares incertos com parametros descritos por saltos markovianos.
• Beneficiário: Natache do Socorro Dias Arrifano Sassim
• Modalidade de apoio: Bolsas no Brasil - Doutorado