DocumentCode :
2962539
Title :
A relaxed stability criterion for T-S fuzzy discrete system
Author :
Wang, Wen-June ; Sun, Chung-Hsun
Author_Institution :
Dept. of Electr. Eng., Nat. Central Univ., Chung-li, Taiwan
Volume :
2
fYear :
2004
fDate :
2004
Firstpage :
937
Abstract :
Stability conditions for T-S fuzzy discrete systems based on a conventional quadratic Lyapunov function or a weighting dependent Lyapunov function have been proposed in lots of literature. This paper tries to relax the conservatism of those stability conditions. By using the concept of firing rules group by each input and the examination of the maximum distance of two successive states of the system, the stability criterion can be relaxed obviously. The relaxed stability criterion give us one more chance to examine the stability of the T-S fuzzy discrete system if the common matrix P does not exist or those Lyapunov inequalities, which are derived based on the weighting dependent Lyapunov function, do not hold. An example is illustrated to show the relaxation effectiveness of the proposed stability criterion.
Keywords :
Lyapunov methods; discrete systems; fuzzy control; fuzzy set theory; fuzzy systems; stability; Lyapunov inequalities; T-S fuzzy discrete system; Takagi-Sugeno system; firing rules group; relaxed stability criterion; weighting dependent Lyapunov function; Electrical equipment industry; Fuzzy control; Fuzzy systems; Industrial control; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Stability criteria; Sun; Symmetric matrices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Networking, Sensing and Control, 2004 IEEE International Conference on
ISSN :
1810-7869
Print_ISBN :
0-7803-8193-9
Type :
conf
DOI :
10.1109/ICNSC.2004.1297073
Filename :
1297073
Link To Document :
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