DELAY-DEPENDENT ROBUST STABILIZATION AND H∞ CONTROL FOR UNCERTAIN STOCHASTIC T-S FUZZY SYSTEMS WITH MULTIPLE TIME DELAYS

被引：0
|
作者：
Senthilkumar, T. [1 ]
Balasubramaniam, P. [1 ]
机构：
[1] Gandhiram Rural Inst Deemed Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2012年 / 9卷 / 02期
关键词：
Takagi-Sugeno (T-S) fuzzy systems; Robust H-infinity control; Stochastic system; Linear matrix inequalities (LMIs); Multiple time delays; Lyapunov-Krasovskii functional (LKF); STABILITY CONDITIONS; NONLINEAR-SYSTEMS; FILTER DESIGN; STATE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problems of robust stabilization and H. control for uncertain stochastic systems with multiple time delays represented by the Takagi-Sugeno (T-S) fuzzy model have been studied. By constructing a new Lyapunov-Krasovskii functional (LKF) and using the bounding techniques, sufficient conditions for the delay-dependent robust stabilization and H-infinity control scheme are presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired fuzzy controller can be obtained which can be easily calculated by Matlab LMI control toolbox. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：89 / 111
页数：23
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