一类状态及输入均有区间变时滞的线性系统之镇定

郑  敏; 费树岷

引用本文:	郑敏,费树岷.一类状态及输入均有区间变时滞的线性系统之镇定[J].控制理论与应用,2008,25(5):956~958.[点击复制]
	ZHENG Min,FEI Shu-min.Stabilization of linear systems with interval time-varying delay in both state and input[J].Control Theory and Technology,2008,25(5):956~958.[点击复制]

一类状态及输入均有区间变时滞的线性系统之镇定

Stabilization of linear systems with interval time-varying delay in both state and input

摘要点击 1591 全文点击 102 投稿时间：2007-02-27 修订日期：2007-08-30

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DOI编号 10.7641/j.issn.1000-8152.2008.5.033

2008,25(5):956-958

中文关键词输入时滞状态时滞镇定 Lyapunov-Krasovskii 泛函线性矩阵不等式

英文关键词 input delays state delays stabilization Lyapunov-Krasovskii functional linear matrix inequality(LMI)

基金项目国家自然科学基金资助项目(60574006).

作者	单位	E-mail
郑敏	上海大学机电工程与自动化学院, 上海 200072 东南大学自动化学院, 江苏南京 210096	zhengmin203@163.com
费树岷	上海大学机电工程与自动化学院, 上海 200072 东南大学自动化学院, 江苏南京 210096	smfei@seu.edu.cn

中文摘要

对一类同时具有状态和输入变时滞的线性系统\dot x(t) = Ax(t) + A₁x(t-τ₁(t)) + B₁u(t) + B₂u(t-τ₂(t)),利用一种时滞划分形式的Lyapunov-Krasovskii泛函讨论其镇定问题. 得到通过状态反馈控制使闭环系统稳定的时滞相关的镇定准则. 对(A,B₁)和(A + A₁,B₁)都不可控的数值实例, 利用本文给出的准则都能得到有效的控制.

英文摘要

A new Lyapunov-Krasovskii functional based on fractioning the average delay is presented to synthesize the stabilization of linear systems with interval time-varying delay in both state and input. A new functional is used to obtain the delay-dependent criterion for ensuring the stability for the closed-loop system with a state feedback controller. Numerical example is given to demonstrate the effectiveness of the proposed method, even though the pairs (A,B1)and/or(A + A₁,B₁1)are not controllable.