不确定线性多时变时滞系统的时滞相关鲁棒控制  

Delay dependent robust control for linear systems with multiple time-varying delays and uncertainties

作　　者：张先明[1] 吴敏[1] 何勇[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《控制与决策》2004年第5期496-500,共5页Control and Decision

基　　金：教育部博士点基金资助项目 (2 0 0 0 0 5 330 3) ;教育部青年教师奖励计划资助项目 (教人 [2 0 0 2 ]5号 ) .

摘　　要：提出一种积分不等式新方法 ,讨论不确定线性多时变时滞系统的鲁棒稳定性以及鲁棒稳定化问题 .首先利用 Park不等式建立了基于二次型项的积分不等式 ,利用这一不等式获得了系统基于 L MI的时滞相关、时滞导数相关鲁棒稳定条件 ;然后利用这一条件给出了时滞状态反馈控制器的一种新的设计方法 .A new method called integral inequality method(IIM) is proposed to study the delay-dependent robust stability and stabilization for linear systems with multiple time-varying delays and norm-bounded uncertainties. First, an integral inequality for quadratic terms is established by using the Park inequality. Secondly, a new robust criterion of delay and its derivation dependent for determining the stability of systems with time-varying delays is obtained. This criterion is used to design an efficient stabilizing delayed state-feedback controller for systems with norm-bounded uncertainties. Finally, examples illustrate that the new results are of less conservative than that of the present literatures.

关 键 词：时滞相关 鲁棒稳定性 鲁棒稳定化 时滞状态反琦 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]