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线性广义系统的无源控制
引用本文:盛洁波,李建军.线性广义系统的无源控制[J].湖南文理学院学报(自然科学版),2008,20(1):13-16.
作者姓名:盛洁波  李建军
作者单位:湖南工学院,基础课教学部,湖南,衡阳,421002;中南大学,信息科学与工程学院,湖南,长沙,410082
摘    要:为研究线性广义系统的无源控制问题, 利用微分几何方法, 给出了线性广义系统无源的充分必要条件;再将存储函数具体化, 利用矩阵不等式, 推出了线性广义系统无源的充分条件. 并且, 基于这两个方面得到存在状态反馈, 使闭环系统无源与严格无源的条件.

关 键 词:线性广义系统  无源控制
文章编号:1672-6146(2008)01-0013-03
修稿时间:2007年10月9日

The passivity based control for a class of differential algebraic systems
SHENG Jie-bo ,LI Jian-jun.The passivity based control for a class of differential algebraic systems[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2008,20(1):13-16.
Authors:SHENG Jie-bo  LI Jian-jun
Institution:SHENG Jie-bo 1,LI Jian-jun 2 (1.Hunan institute of techologe,Hengyang,Hunan,421002,2.School of information science , control engineering,Central south university,Changsha,411000)
Abstract:The passive control problems were investigated for a class of nonlinear differential algebraic systems and linear singular systems.A necessary and sufficient condition of passivity was given by making use of the methods similar to differential geometry and differential geometry methods respectively.By concretizing storage function and utilizing linear matrix inequalities,the sufficient condition of passivity for linear singular systems was deduced.
Keywords:differential algebraic system  passivity based control  
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