奇异系统的观控性子空间及其应用  

Controllable Subspaces and Unobservable Subspaces in Singular Systems

作　　者：王殿辉[1] 谢绪恺[1] 

机构地区：[1]东北工学院数学系,沈阳110005

出　　处：《控制与决策》1993年第2期91-94,100,共5页Control and Decision

基　　金：国家自然科学基金

摘　　要：本文重新定义了奇异系统的脉冲能控性于空间、脉冲不能观性子空间及脉冲能控、能观性。在不分解原系统的情况下,用原系统参数直接给出了诸能控性、不能观测性子空间的表达式。应用所得到的结果,讨论了系统的脉冲能控(观)模的个数问题;给出了奇异系统既无指数固定模又无脉冲固定模的一个充要条件。In this paper, an impulsive controllable subspace and two impulsive unobservable subspaces, the impulsive controllability and observability of singular systems are redefined from a new point of view. With no decomposition of the system, some basic controllable subspaces and unobservable subspaces in singular systems are given directly in closed form by the original parameters of the system. Furthermore, some new criterions on controllabilities and observabilities are established. As applications of these important subspaces, the numbers of impulsive controllable modes, observable modes and controllable and observable modes are discussed, and a necessary and sufficient condition on decentralized fixed modes is established.

关 键 词：奇异系统 子空间 可控性 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]