State feedback stabilization of nonlinear discrete-time systems with time-varying time delay

被引：32
|
作者：
Boukas, E. K. [1 ]
机构：
[1] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 06期
关键词：
D O I：
10.1016/j.na.2006.01.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the class of nonlinear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability of this class of systems are developed. A control design algorithm is also provided for determining the state feedback controller gain. All the results developed in this paper are in the LMI formalism which makes it easier to obtain them using existing tools. A numerical example is provided to show the effectiveness of the results established. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1341 / 1350
页数：10
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