An Improved Stability Condition for T-S Fuzzy System

Author

Sun, Ying ; Zhang, Song-tao

Author_Institution

Coll. of Civil Eng. & Refrigeration Eng., Harbin Univ. of Commerce

fYear

2006

fDate

13-16 Aug. 2006

Firstpage

517

Lastpage

522

Abstract

Stability conditions for T-S fuzzy system based on a common positive definite matrix or a set of positive definite matrices have been proposed in lots of literature. This paper tries to improve the conservatism of those stability conditions. By employing the concept of the efficient mutual non-neighboring rule group (EMNNRG), a sufficient condition is proposed to guarantee quadratic stability of the fuzzy model globally. This condition only requires finding a local common positive definite matrix in each EMNNRG. Moreover, the proposed stability condition includes previous results as special cases. An example is illustrated to show the effectiveness of the proposed stability condition

Keywords

fuzzy systems; matrix algebra; stability; EMNNRG; T-S fuzzy system; common positive definite matrix; efficient mutual nonneighboring rule group; quadratic stability condition; Business; Civil engineering; Cybernetics; Educational institutions; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Machine learning; Refrigeration; Stability; Sufficient conditions; Sun; Positive definite matrix; Stability condition; T-S fuzzy system;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2006 International Conference on

Conference_Location

Dalian, China

Print_ISBN

1-4244-0061-9

Type

conf

DOI

10.1109/ICMLC.2006.258327

Filename

4028119