线性广义系统的无源控制  

The passivity based control for a class of differential algebraic systems

作　　者：盛洁波[1] 李建军[2] 

机构地区：[1]湖南工学院基础课教学部,湖南衡阳421002 [2]中南大学信息科学与工程学院,湖南长沙410082

出　　处：《湖南文理学院学报（自然科学版）》2008年第1期13-15,19,共4页Journal of Hunan University of Arts and Science(Science and Technology)

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.The passive control problems were investigated for a class of nonlinear differential algebraic systems and linearsingular 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.

关 键 词：线性广义系统 无源控制 

分 类 号：O231.1[理学—运筹学与控制论]