广义时滞系统的时滞相关型H_∞控制  

Delay-dependent H_∞Control for Generalized Time-delay System

作　　者：焦建民[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《信息与控制》2011年第5期627-632,共6页Information and Control

基　　金：陕西省教育厅科研计划资助项目(2010JK400;11JK0509)

摘　　要：研究了广义时滞系统的时滞相关型H。。控制问题.利用一个新构造的增广—离散化李亚普诺夫泛函并结合自由权矩阵方法,给出了使得系统正则、无脉冲、稳定且具有给定H。。性能界的时滞相关型有界实引理(BRL).在所得BRL基础上,得到了系统H。。状态反馈控制律的一个直接的设计方法.所给结果均以严格线性矩阵不等式(LMI)表示.数值实例表明了结果的有效性和较小保守性.The problem of delay-dependent H_∞control for generalized time-delay systems is investigated.By using a new constructed augmented-discretized Lyapunov functional and free-weighting matrix approach,a delay-dependent bounded real lemma（BRL） is presented to ensure the systems be regular,impulse free and stable with a prescribed H_∞norm-bound.Based on the obtained BRL,a direct design method for H_∞state feedback control law of the system is given.All obtained results are formulated in terms of strict linear matrix inequality（LMI）.Numerical examples demonstrate that the proposed methods are effective and less conservative.

关 键 词：广义时滞系统 时滞相关 H_∞控制 有界实引理 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]