离散时间线性脉冲奇异系统的有限时间滤波

doi:10.6040/j.issn.1672-3961.0.2015.021

山东大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (5): 51-57.doi: 10.6040/j.issn.1672-3961.0.2015.021

离散时间线性脉冲奇异系统的有限时间滤波

仝云旭¹, 李桂花¹, 刘婷婷², 朱玉清¹

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

收稿日期:2015-01-27 修回日期:2015-05-14 出版日期:2018-10-20 发布日期:2015-01-27
作者简介:仝云旭(1981-),男,河南南阳人,讲师,博士,主要研究方向为稳定性与滤波.E-mail:147853509@qq.com
基金资助:
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)

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

TONG Yunxu¹, LI Guihua¹, LIU Tingting², ZHU Yuqing¹

1. School of Mathematics and Physics, Nanyang Institute of Technology, Nanyang 473004, Henan, China;
2. School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, Shaanxi, China

Received:2015-01-27 Revised:2015-05-14 Online:2018-10-20 Published:2015-01-27

摘要/Abstract

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。

关键词: 离散系统, 奇异系统, 有限时间滤波, 脉冲系统

Abstract: 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.

Key words: finite-time filtering, impulsive system, singular system, discrete-time system

中图分类号:

O231

仝云旭, 李桂花, 刘婷婷, 朱玉清. 离散时间线性脉冲奇异系统的有限时间滤波[J]. 山东大学学报(工学版), 2015, 45(5): 51-57.

TONG Yunxu, LI Guihua, LIU Tingting, ZHU Yuqing. Finite-time filtering for discrete-time linear impulsive singular systems[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2015, 45(5): 51-57.

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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

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