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

页码：89 / 111

页数：23

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