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

被引：44
|
作者：
Yang, Rongni [1 ]
Gao, Huijun [1 ]
Shi, Peng [2 ,3 ,4 ]
机构：
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
[4] Univ S Australia, Sch Math & Stat, Adelaide, SA 5001, Australia
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2010年 / 20卷 / 16期
基金：
中国国家自然科学基金; 英国工程与自然科学研究理事会;
关键词：
stochastic systems; time delay; uncertainties; H-infinity control; delay partitioning; Lyapunov-Krasovskii functional; NEURAL-NETWORKS; STABILITY; STABILIZATION; CRITERION;
D O I：
10.1002/rnc.1552
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 paper investigates the robust H-infinity control problem for stochastic systems with a delay in the state. Sufficient delay-dependent conditions for the existence of state-feedback controllers are proposed to guarantee mean-square asymptotic stability as well as the prescribed H-infinity performance for the closed-loop systems. Moreover, the results are further extended to the stochastic time-delay systems with parameter uncertainties, which are assumed to be time-varying norm-bounded appearing in both the state and the input matrices. The appealing idea is to partition the delay, which differs greatly from the most existing results and reduces conservatism by thinning the delay partitioning. Numerical examples are provided to show the advantages of the proposed techniques. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码：1852 / 1865
页数：14
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