时滞相关广义系统的H_∞控制的改进方法  

An Improved Method of Delay-Dependent H_∞ Control for Singular Systems with Time-Delay

作　　者：刘雅妹[1] 兰奇逊[1] 梁家荣[2] 

机构地区：[1]河南城建学院数理系,河南平顶山467000 [2]广西大学计算机与电子信息学院,广西南宁530004

出　　处：《河南大学学报（自然科学版）》2011年第1期13-17,共5页Journal of Henan University:Natural Science

基　　金：教育部"新世纪优秀人才支持计划"专项基金项目(NCET-06-0756)

摘　　要：针对时滞相关广义系统的H∞控制问题进行研究,目的是设计线性无记忆状态反馈控制器,使得对闭环系统正则、无脉冲、稳定且具有满意的H∞性能.首先,利用积分不等式,以严格的线性矩阵不等式方法给出了时滞相关广义系统的新有界实引理;其次,基于新的有界实引理给出了时滞相关广义系统的H∞控制器存在的充分条件;所有结果都是时滞相关的,且以严格的线性矩阵不等式的形式给出,未涉及系统矩阵的分解.最后,通过数值算例说明了该方法比现有结果具有更小的保守性.This paper considers the problem of delay-dependent H∞control for singular systems with time-delay.The purpose of the study of this problem is to design a linear memoryless state-feedback controller such that the resulting closed-loop system is regular,impulse free,stable with content H∞performance.Firstly,by taking integral inequality,the new real bounded lemma is presented in terms of strict linear matrix inequality（LMI） approach.Secondly,based on the new real bounded lemma,a sufficient condition for the existence of H∞controller for delay-dependent singular systems are given.All the obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system matrices.Furthermore,numerical examples are given to illustrate the less conservativeness than existing results.

关 键 词：时滞广义系统 时滞相关 H∞控制 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] O231[自动化与计算机技术—控制科学与工程]