吉林师范大学学报(自然科学版)
吉林師範大學學報(自然科學版)
길림사범대학학보(자연과학판)
JILIN NORMAL UNIVERSITY JOURNAL(NATURAL SCIENCE EDITION)
2014年
3期
60-63,67
,共5页
李莉莉%逄博%崔利宏
李莉莉%逄博%崔利宏
리리리%방박%최리굉
离散广义系统%因果性%Y-能控%Y-能观%受限等价形式
離散廣義繫統%因果性%Y-能控%Y-能觀%受限等價形式
리산엄의계통%인과성%Y-능공%Y-능관%수한등개형식
discrete-time singular systems%causality%Y-causal controllability%Y-causal observability%restricted equivalent form
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。
通常具有非因果性的離散廣義繫統在物理上是無法實現的,但實際繫統中往往存在這種情況。本文首先討論離散廣義繫統具有因果性的充要條件。然後針對不具有因果性的離散廣義繫統,證明存在狀態反饋控製器和輸齣反饋控製器使閉環離散廣義繫統具有因果性的充要條件,併採用構造性方法分彆針對 rank(B)= r 和不限製矩陣 B 秩的兩種情況,給齣狀態反饋控製器和輸齣反饋控製器的設計方案,確保閉環離散廣義繫統具有因果性。
통상구유비인과성적리산엄의계통재물리상시무법실현적,단실제계통중왕왕존재저충정황。본문수선토론리산엄의계통구유인과성적충요조건。연후침대불구유인과성적리산엄의계통,증명존재상태반궤공제기화수출반궤공제기사폐배리산엄의계통구유인과성적충요조건,병채용구조성방법분별침대 rank(B)= r 화불한제구진 B 질적량충정황,급출상태반궤공제기화수출반궤공제기적설계방안,학보폐배리산엄의계통구유인과성。
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.