Delay-dependent robust H∞ control for uncertain stochastic time-delay system

被引：23

作者：

Xia, Yuanqing ^{[1
]}

Qiu, Jiqing ^{[2
]}

Zhang, Jinhui ^{[1
]}

Gao, Zhifeng ^{[2
]}

Wang, Jianfei ^{[3
]}

机构：

[1] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China

[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang, Peoples R China

[3] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2008年 / 39卷 / 12期

基金：

中国国家自然科学基金;

关键词：

stochastic system; time-delay; H-infinity control; linear matrix inequalities (LMIs); norm-bounded uncertainties;

D O I：

10.1080/00207720802088256

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article deals with the problem of robust stabilisation and H-infinity control for a class of uncertain stochastic time-delay system. The parametric uncertainties are real time-varying and norm bounded. The aim is to design a memoryless state-feedback control law such that the closed-loop system are robustly stochastically asymptotically stable in the mean square and the effect of the disturbance input on the controlled output is less than a prescribed level for all admissible parameter uncertainties. New sufficient conditions for the existence of such control law are presented based on the linear matrix inequalities approach. Numerical examples are given to illustrate the effectiveness of the developed techniques.

引用

页码：1139 / 1152

页数：14

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