Title :
On Switched Regulator Design of Uncertain Nonlinear Systems Using Takagi–Sugeno Fuzzy Models
Author :
de Souza, Wallysonn A. ; Teixeira, Marcelo C. M. ; Cardim, Rodrigo ; Assuncao, Edvaldo
Author_Institution :
Dept. of Acad. Areas of Jatai, IFG (Fed. Inst. of Educ., Sci. & Technol. of Goias), Jatai, Brazil
Abstract :
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.
Keywords :
Lyapunov methods; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; uncertain systems; BMI; T-S fuzzy models; Takagi-Sugeno fuzzy models; bilinear matrix inequalities; magnetic levitator design; membership function expression; minimum-type Lyapunov function; path following method; stability criterion; state-feedback switched controller design; switched regulator design; uncertain nonlinear systems; Indexes; Lyapunov methods; Nonlinear systems; Switches; Symmetric matrices; Takagi-Sugeno model; Bilinear matrix inequalities (BMIs); Takagi–Sugeno (T–S) fuzzy model; control of uncertain nonlinear systems; linear matrix inequalities (LMIs); switched control;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2014.2302494