Piecewise Lyapunov stability conditions of fuzzy systems

被引:42
作者
Feng, M [1 ]
Harris, CJ [1 ]
机构
[1] Univ Southampton, Dept Elect & Comp Sci, Image Speech & Intelligent Syst Res Grp, Southampton SO17 1BJ, Hants, England
来源
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 2001年 / 31卷 / 02期
关键词
fuzzy systems; stability;
D O I
10.1109/3477.915350
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we address the stability of a class of nonlinear fuzzy systems that can be decomposed into a set of local models characterized as Takagi-Sugeno models. This new approach includes a consideration of the input membership functions. Via this approach, a reduction in the number of candidate Lyapunov functions and associated linear matrix inequalities (LMIs) is produced. This approach significantly reduces the computational load associated with determining closed loop stability as the input dimension increases.
引用
收藏
页码:259 / 262
页数:4
相关论文
共 9 条
[1]   Analysis and design for a class of complex control systems .1. Fuzzy modelling and identification [J].
Cao, SG ;
Rees, NW ;
Feng, G .
AUTOMATICA, 1997, 33 (06) :1017-1028
[2]   Input/output stability theory for direct neuro-fuzzy controllers [J].
French, M ;
Rogers, E .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1998, 6 (03) :331-345
[3]   Computation of piecewise quadratic Lyapunov functions for hybrid systems [J].
Johansson, M ;
Rantzer, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :555-559
[4]  
Pettersson S, 1997, LECT NOTES COMPUT SC, V1201, P240, DOI 10.1007/BFb0014729
[5]   FUZZY IDENTIFICATION OF SYSTEMS AND ITS APPLICATIONS TO MODELING AND CONTROL [J].
TAKAGI, T ;
SUGENO, M .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1985, 15 (01) :116-132
[6]   STABILITY ANALYSIS AND DESIGN OF FUZZY CONTROL-SYSTEMS [J].
TANAKA, K ;
SUGENO, M .
FUZZY SETS AND SYSTEMS, 1992, 45 (02) :135-156
[7]   An approach to fuzzy control of nonlinear systems: Stability and design issues [J].
Wang, HO ;
Tanaka, K ;
Griffin, MF .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (01) :14-23
[8]  
[No title captured]
[9]  
[No title captured]