吉林大学学报(理学版)

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奇异中立系统降维H滤波器的设计

陈绍东, 杜书德, 仝云旭   

  1. 南阳理工学院 数学与统计学院, 河南 南阳 473004
  • 收稿日期:2016-12-12 出版日期:2017-09-26 发布日期:2017-09-26
  • 通讯作者: 陈绍东 E-mail:chenshaodong2006@163.com

Design of ReducedOrder H Filter for Singular Neutral Systems

CHEN Shaodong, DU Shude, TONG Yunxu   

  1. College of Mathematics and Statistics, Nanyang Institute of Technology, Nanyang 473004, Henan Province, China
  • Received:2016-12-12 Online:2017-09-26 Published:2017-09-26
  • Contact: CHEN Shaodong E-mail:chenshaodong2006@163.com

摘要: 利用Lyapunov稳定性理论和线性矩阵不等式方法, 考虑奇异中立系统的降维H滤波问题. 首先, 给出奇异中立系统存在降维H滤波器的一些充分条件, 使所得滤波误差系统渐近稳定, 且H范数小于一个给定的性能指标γ; 其次, 以参数显示化的形式给出所需降维H滤波器的表达式. 数值结果表明, 所得结论可行且有效.

关键词: 奇异系统, 滤波器, 降维H&infin, 中立系统, 线性矩阵不等式

Abstract: Using the Lyapunov stability theory and linear matrix inequality approach, we considered the reducedorder H filtering problem for singular neutral systems. Firstly, some sufficient conditions for the reducedorder H filter of singular neutral systems were given such that the resulting filtering error system was asymptotically stable and H norm was less than a given performance index γ. Secondly, the expression of the reducedorder H filters were given in the form of parametric display. Numerical results show that the conclusions are feasible and effective.

Key words: neutral system, reducedorder H filter, singular system, linear matrix inequality

中图分类号: 

  • O231