Finite-time control of discrete-time systems with time-varying exogenous disturbance

被引：43

作者：

Zhu, Lin ^{[1
]}

Shen, Yanjun ^{[1
]}

Li, Cuicui ^{[1
]}

机构：

[1] China Three Gorges Univ, Sch Sci, Yichang 443002, Hubei, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 02期

关键词：

Finite-time stability; Uncertain discrete-time system; Linear matrix inequality (LMI); Time-varying exogenous disturbance; State feedback; STABILITY; STABILIZATION;

D O I：

10.1016/j.cnsns.2007.09.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some finite-time control problems for uncertain discrete-time linear systems subject to exogenous disturbance. Sufficient conditions are presented for finite-time stabilization via state feedback. These conditions can be reduced to feasibility problems involving linear matrix inequality (LMI). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, an example illustrates the proposed methodology. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：361 / 370

页数：10

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