广义大系统的解耦和分散控制  

Decomposition and Decentralized Control of Large-scale Descriptor Systems

作　　者：丁志强[1] 

机构地区：[1]沈阳理工大学理学院,辽宁沈阳110168

出　　处：《沈阳理工大学学报》2006年第5期61-64,共4页Journal of Shenyang Ligong University

摘　　要：研究广义大系统的解耦和分散镇定问题.提出一种递阶形式的线性广义大系统,在这种形式下,每个子系统仅与"低层"子系统耦合,整个大系统的正则性、稳定性、脉冲性和能控性分别等价于子系统的正则性、稳定性、脉冲性和能控性.然后,给出一个基于图论的解耦算法,把一般的广义大系统分解成递阶形式.经证明,我们所给的方法是行之有效的.In this paper, the problems of decomposition and decentralized control problems for large - scale descriptor systems are investigated. A cascade representation of linear descriptor systems is given, under which each subsystem is interacted only with the ＂lower＂ subsystems. The regularity, stability, impulse property and controllability are equivalent to those of the subsystems, respectively. A digraph-based decomposition technique is presented, by which we can rewrite the original system into a cascade form. Finally, a numerical example is given to illustrate our approach.

关 键 词：广义大系统 分散控制 递阶系统 解耦 

分 类 号：O231.1[理学—运筹学与控制论]