Hilbert空间中二阶广义分布参数系统的反馈控制与极点配置  

FEEDBACK CONTROL AND POLE ASSIGNMENT OF THE SECOND ORDER SINGULAR DISTRIBUTED PARAMETER CONTROL SYSTEMS IN HILBERT SPACE

作　　者：刘锋[1] 葛照强[2] 

机构地区：[1]江苏技术师范学院基础学科部,常州213001 [2]西安交通大学应用数学系,西安710049

出　　处：《系统科学与数学》2008年第3期257-264,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(60674018);江苏省教育厅自然科学基金(05KJD110058)．

摘　　要：应用泛函分析及算子理论方法讨论了Hilbert空间中二阶广义分布参数系统的反馈控制与极点配置问题,通过构造状态反馈的具体形式使所得闭环系统实现无限多个极点的配置;利用有界线性算子的广义逆给出了问题的解及解的构造性表达式;这对广义分布参数系统的极点配置研究具有重要的理论价值.Feedback control and pole assignment problems of the second order singular distributed parameter control systems were discussed via the method of functional analysis and operator theory in Hilbert space. The suitable state feedback makes it possible to assign infinitely many poles of the closed loop system. The constructive expression of the pole assignment is given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the pole assignment of singular distributed parameter control systems.

关 键 词：二阶广义分布参数系统 状态反馈 极点配置 Hilbert空间. 

分 类 号：O177.1[理学—数学] TP271.61[理学—基础数学]