Robust delayed-state-feedback stabilization of uncertain stochastic systems

被引:82
作者
Huang, Lirong [1 ]
Mao, Xuerong [1 ]
机构
[1] Univ Strathclyde, Dept Stat & Modelling Sci, Glasgow G1 1XH, Lanark, Scotland
关键词
Stochastic systems; Time delay; Delay-dependent stability; State-feedback stabilization; Linear matrix inequality; H-INFINITY CONTROL; DEPENDENT EXPONENTIAL STABILITY; THEOREMS; BOUNDS;
D O I
10.1016/j.automatica.2009.01.004
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Due to time spent in computation and transfer, control input is usually subject to delays. Problems of deterministic systems with input delay have received considerable attention. However, relatively few works are concerned with problems of stochastic system with input delay. This paper studies delayed-feedback stabilization of uncertain stochastic systems. Based on a new delay-dependent stability criterion established in this paper, a robust delayed-state-feedback controller that exponentially stabilizes the uncertain stochastic systems is proposed. Numerical examples are given to verify the effectiveness and less conservativeness of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1332 / 1339
页数:8
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