离散时间线性脉冲奇异系统的有限时间滤波  

Finite-time filtering for discrete-time linear impulsive singular systems

作　　者：仝云旭[1] 李桂花[1] 刘婷婷[2] 朱玉清[1] 

机构地区：[1]南阳理工学院数理学院,河南南阳473004 [2]陕西师范大学数学与信息科学学院,陕西西安710119

出　　处：《山东大学学报（工学版）》2015年第5期51-57,共7页Journal of Shandong University（Engineering Science）

基　　金：青年科学基金资助项目(61403242);陕西省自然科学基础研究计划资助项目(2014JM1019);陕西省教育厅2014年专项科研资助项目(14JK1225)

摘　　要：研究了离散时间线性脉冲奇异系统的有限时间滤波问题。利用线性矩阵不等式方法,首先给出了滤波误差系统有限时间稳定和满足性能要求的充分条件,然后给出了脉冲奇异系统有限时间滤波问题可解的充分条件,并且给出了滤波器的设计方法,推广了脉冲系统有限时间滤波理论结果。最后通过数值算例表明了结论的可行性。The finite-time filtering problem for discrete-time linear impulsive singular systems was investigated. Firstly,sufficient conditions for the filter error system which is finite-time stable and satisfies the performance requirements were given by using the linear matrix inequality method. Secondly,sufficient conditions for solving the finite-time filter problem of impulsive singular systems were presented,and the designing method of filter was provided,which generalizes the finite-time filtering theories of impulsive systems. Finally,a numerical example was given to demonstrate the feasibility of the conclusion.

关 键 词：有限时间滤波 脉冲系统 离散系统 奇异系统 

分 类 号：O231[理学—运筹学与控制论]