On Switched Regulator Design of Uncertain Nonlinear Systems Using Takagi-Sugeno Fuzzy Models

Autor(es)

de Souza, Wallysonn A. ^[1] ; Teixeira, Marcelo C. M. ^[2] ; Cardim, Rodrigo ^[2] ; Assuncao, Edvaldo ^[2]

Afiliação do(s) autor(es)

^[1] IFG Fed Inst Educ Sci & Technol Goias, Dept Acad Areas Jatai, BR-75804020 Jatai, Go - Brazil

^[2] UNESP Univ Estadual Paulista, Dept Elect Engn, BR-15385000 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: IEEE TRANSACTIONS ON FUZZY SYSTEMS; v. 22, n. 6, p. 1720-1727, DEC 2014.
• Citações Web of Science: 21

Resumo

This paper is concerned with the design of state-feedback switched controllers for a class of uncertain nonlinear plants described by Takagi-Sugeno (T-S) fuzzy models. The proposed methodology eliminates the need to find the membership function expressions to implement the control law, which is relevant in cases where the membership function depends on uncertain parameters. The design of the switched controllers is based on a minimum-type Lyapunov function and the minimization of the time derivative of this Lyapunov function. The conditions of the new stability criterion are represented by a kind of bilinear matrix inequalities (BMIs) that has been solved by the path-following method. A numerical example and the nonlinear control design of a magnetic levitator with uncertainties illustrate the procedure. (AU)

• Processo FAPESP: 11/17610-0 - Monitoramento e controle de sistemas dinâmicos sujeitos a falhas
• Beneficiário: Roberto Kawakami Harrop Galvão
• Modalidade de apoio: Auxílio à Pesquisa - Temático