Title :
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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258327
