东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (10): 1374-1377.DOI: -

• 论著 • 上一篇    下一篇

关联时滞系统的分散H_∞滤波

肖小石;毛志忠;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(61074074)

Decentralized H∞ filtering for interconnected time-delay systems

Xiao, Xiao-Shi (1); Mao, Zhi-Zhong (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Xiao, X.-S.
  • About author:-
  • Supported by:
    -

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摘要： 考虑一类关联时滞系统,以子系统的输出作为滤波器的输入,分别为每个子系统设计了一个线性滤波器.基于Lyapunov泛函方法,首先得到了滤波器存在的时滞无关的充分条件.为便于滤波器的设计,通过解耦算法将原充分条件转化为一个易于求解的线性矩阵不等式(LMI).进一步,为使滤波器具有良好的H∞性能,将滤波器的设计问题转化为具有LMI约束的凸优化求解问题.数值实例表明了所提滤波器设计方案的可行性.

关键词: 时滞, 大系统, H∞滤波, 时滞无关, 线性矩阵不等式

Abstract: For a class of interconnected time-delay systems, a linear filter was designed for each subsystem by using the output of the subsystem as the input of the designed filter. Based on Lyapunov-Krasovskii functional method, a delay-independent sufficient condition of the existence of the linear filter was obtained. For the convenience of the filter design, a decoupling algorithm was applied to transform the obtained sufficient condition into a linear matrix inequality (LMI) which can be easily solved. Furthermore, the filter design problem was changed to a convex optimization solving problem constrained by LMI to achieve good H∞ performances. A numerical example demonstrates the feasibility of the proposed filter design method.

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