离散广义系统的因果性  

Causality of Discrete-time Singular Systems

作　　者：李莉莉[1] 逄博[1] 崔利宏[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《吉林师范大学学报（自然科学版）》2014年第3期60-63,67,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(61304056);辽宁省教育厅科学技术研究项目(L2013409)

摘　　要：通常具有非因果性的离散广义系统在物理上是无法实现的,但实际系统中往往存在这种情况.本文首先讨论离散广义系统具有因果性的充要条件.然后针对不具有因果性的离散广义系统,证明存在状态反馈控制器和输出反馈控制器使闭环离散广义系统具有因果性的充要条件,并采用构造性方法分别针对rank(B)=r和不限制矩阵B秩的两种情况,给出状态反馈控制器和输出反馈控制器的设计方案,确保闭环离散广义系统具有因果性.In generally,discrete-time singular systems with non-causality are considered impossible in physics, which often exist in the practical systems. First,this paper discusses a necessary and sufficient condition of discrete-time singular systems with causality. Then for discrete-time singular systems with non-causality,the necessary and sufficient conditions for existences of state feedback controller and output feedback controller are proved to guarantee causality of the closed-loop systems. And state feedback controller and output feedback controller are designed respectively by constructive method for two cases of rank（B）= r and no requirement for the rank of matrix B which ensure the causality of the closed-loop discrete-time singular systems.

关 键 词：离散广义系统 因果性 Y-能控 Y-能观 受限等价形式 

分 类 号：O231.1[理学—运筹学与控制论]