线性时滞广义系统的时滞相关H_∞控制  

Delay-dependent H-infinity control for linear descriptor systems with time-delay

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

出　　处：《控制理论与应用》2005年第4期649-652,共4页Control Theory & Applications

基　　金：教育部青年教师奖励计划资助项目(教人[2002]5号);国家博士点基金资助项目(2000053303).

摘　　要：讨论线性时滞广义系统的时滞相关H∞控制.首先利用Park不等式建立了一个基于二次型项的积分不等式,然后利用Lyapunov_Krasovskii泛函方法,获得了系统经慢子系统的无记忆状态反馈后不仅内部稳定,而且具有给定的H∞性能的,基于LMI的时滞相关充分条件.数值例子表明本文方法所得结论较已有文献具有较小的保守性.The delay-dependent H-infinity control for the descriptor systems with time-delay is discussed. First, a new integral inequality for quadratic terms is established by using the Park inequality. Next, the integral inequality in combination with the Lyapunov-Krasovskii functional method is used to derive a new delay dependent sufficient condition based on LMI which can guarantee that the closed-loop system is not only intemal asymptotically stable but also with the prescribed H-infinity performance via the slow subsystem＇ s memoryless state feedback. Finally, an example is given to illustrate that the derived results are of less conservativeness than the existing ones.

关 键 词：广义系统 时滞相关 H∞性能 积分不等式 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]