A note on the robust stability of uncertain stochastic fuzzy systems with time-delays

被引：166
|
作者：
Wang, ZD [1 ]
Ho, DWC
Liu, XH
机构：
[1] Brunel Univ, Dept Informat Syst & Comp, Uxbridge UB8 3PH, Middx, England
[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS | 2004年 / 34卷 / 04期
关键词：
fuzzy systems; linear matrix inequality (LMI); nonlinear systems; robust stability; stochastic systems; time-delay systems;
D O I：
10.1109/TSMCA.2004.826296
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Takagi-Sugeno (T-S) fuzzy models are now often used to describe complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear submodels. In this note, the T-S fuzzy model approach is exploited to establish stability criteria for a class of nonlinear stochastic systems with time delay. Sufficient conditions are derived in the format of linear matrix inequalities (LMIs), such that for all admissible parameter uncertainties, the overall fuzzy system is stochastically exponentially stable in the mean square, independent of the time delay. Therefore, with the numerically attractive Matlab LMI toolbox, the robust stability of the uncertain stochastic fuzzy systems with time delays can be easily checked.
引用
收藏
页码：570 / 576
页数：7
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