On improved robust stabilization of uncertain systems with unknown input delay

被引：60
作者：
Chen, WH
Zheng, WX [1 ]
机构：
[1] Univ Western Sydney, Sch Comp & Math, Penrith, NSW 1797, Australia
[2] Guangxi Univ, Coll Math & Informat Sci, Nanning, Guangxi, Peoples R China
来源：
AUTOMATICA | 2006年 / 42卷 / 06期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
input delays; uncertain systems; linear matrix inequalities;
D O I：
10.1016/j.automatica.2006.02.015
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 stabilization problem for uncertain systems with unknown input delay based on the reduction method. Two types of the unknown input delay are considered: one is constant; the other is continuous and may vary fast. Sufficient matrix inequalities conditions for stabilizability of such systems are derived via Lyapunov functionals and the descriptor system approach to time-delay systems. An algorithm involving convex optimization is proposed to design a delayed state feedback controller such that the system can be stabilized for all admissible uncertainties. Two illustrative examples are presented to show the effectiveness of the proposed algorithm. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1067 / 1072
页数：6
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