A fuzzy Lyapunov function approach to stabilization of interval type-2 T-S fuzzy systems

Author

Tao Zhao ; Jian Xiao ; Ye Li ; YiXing Li

Author_Institution

Sch. of Transp. & Logistics, Southwest Jiaotong Univ., Chengdu, China

fYear

2013

fDate

25-27 May 2013

Firstpage

2234

Lastpage

2238

Abstract

This paper focuses on deriving the stability conditions of interval type-2 fuzzy-model-based (FMB) control system formed by the interval type-2 T-S fuzzy model and the interval type-2 T-S fuzzy controller connected in a closed loop. To reduce the conservativeness of stability analysis, a fuzzy Lyapunov function, considering the property of membership functions, is adopted. The stability conditions in terms of linear matrix inequalities (LMIs) are obtained. A numerical example shows the effectiveness of the proposed conditions.

Keywords

Lyapunov methods; closed loop systems; fuzzy control; fuzzy systems; linear matrix inequalities; stability criteria; LMI; closed loop system; fuzzy Lyapunov function; interval type-2 T-S fuzzy controller; interval type-2 fuzzy model-based control system; linear matrix inequalities; membership function property; stability analysis conservativeness reduction; stability condition; Control systems; Fuzzy systems; Lyapunov methods; Nonlinear systems; Numerical stability; Stability analysis; Uncertain systems; fuzzy Lyapunov function; interval type-2 T-S fuzzy systems; linear matrix inequalities; stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561307

Filename

6561307