Finite-time stability analysis and stabilization for linear discrete-time system with time-varying delay

被引：49

作者：

Zhang, Zhuo ^{[1
]}

Zhang, Zexu ^{[1
]}

Zhang, Hui ^{[2
]}

Zheng, Bo ^{[1
]}

Karimi, Hamid Reza ^{[3
]}

机构：

[1] Harbin Inst Technol, Sch Astronaut, Deep Space Explorat Res Ctr, Harbin 150080, Peoples R China

[2] Shanghai Maritime Univ, Sci Res Acad, Shanghai 201306, Peoples R China

[3] Univ Agder, Fac Sci & Engn, Dept Engn, Grimstad, Norway

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 06期

基金：

中国国家自然科学基金;

关键词：

H-INFINITY CONTROL; NONLINEAR-SYSTEMS; ROBUST STABILITY; SINGULAR SYSTEMS; FUZZY-SYSTEMS; JUMP SYSTEMS; DESIGN;

D O I：

10.1016/j.jfranklin.2014.02.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of finite-time stability for linear discrete-time systems with time-varying delay is studied in this paper. In order to deal with the time delay, the original system is firstly transformed into two interconnected subsystems. By constructing a delay-dependent LyapunovKrasovskii functional and using a two-term approximation of the time-varying delay, sufficient conditions of finite-time stability are derived and expressed in terms of linear matrix inequalities (LMIs). The derived stability conditions can be applied into analyzing the finite-time stability and deriving the maximally tolerable delay. Compared with the existing results on finite-time stability, the derived stability conditions are less conservative. In addition, for the stabilization problem, we design the state-feedback controller. Finally, numerical examples are used to illustrate the effectiveness of the proposed method. Copyright (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3457 / 3476

页数：20

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