广义线性系统的结构分类方法  

A Structure Classification Method for Singular Linear Systems

作　　者：罗跃生[1,2] 凌焕章[1,2] 吴荣华[2] 齐绪[2] 

机构地区：[1]哈尔滨工程大学自动化学院,黑龙江哈尔滨150001 [2]哈尔滨工程大学理学院,黑龙江哈尔滨150001

出　　处：《控制工程》2012年第4期639-643,共5页Control Engineering of China

基　　金：国家自然科学基金资助(11002037);中央高校基本科研业务费专项资金资助(HEUCF20111118);哈尔滨工程大学研究生培养基金

摘　　要：基于受限等价变换的结构分析方法,提出实现多个矩阵的同时标准化的方法,从而得到广义系统的标准型,该方法使复杂的广义系统等价于多种简单的系统;根据标准型的特点,对分解后的多种简单广义系统进行细化分类;对不同类型的简单广义系统的控制方法进行研究,使复杂广义系统的控制问题转化为简单广义系统的控制问题。数值仿真结果表明,该方法对广义系统的结构的分类更细致具体,便于后续对广义系统的解、脉冲及其能控等方面进行更深入的研究,理论创新前景十分广阔。We use a series of methods based on restricted equivalent transformation on the state space equation of singular linear systemsto obtain a standard form of the system architecture of the basis of matrix decomposition and matrix transformation. This method makes a complex singular system equivalent to multiple simple systems. According to the standard fealures of the decomposition of a broad variety of simple classification systems for refinement, we study the different types of simpler singular systems, and transform the problem of control a complex singular system into the problem of control several simple systems. The experiment result shows that such structure classification method on singular control systems is more specific and detailed. And it makes it easy for the study of singular system solution andimpulse and its controllability. It also has a wide theoretic prospective.

关 键 词：广义系统 受限等价变换 状态空间 分块矩阵 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]