AN IMPROVED STABILITY CONDITION FOR T-S FUZZY SYSTEM
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.
T-S fuzzy system Stability condition Positive definite matrix
YING SUN SONG-TAO ZHANG
College of Civil Engineering and Refrigeration Engineering, Harbin University of Commerce, Harbin 15 School of Electronics and Information Engineering, Dalian Jiaotong University, Dalian 116028, China
国际会议
2006 International Conference on Machine Learning and Cybernetics(IEEE第五届机器学习与控制论坛)
大连
英文
517-522
2006-08-13(万方平台首次上网日期,不代表论文的发表时间)