Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561307
