随机时滞离散网络化系统的H_∞滤波器设计  

H_∞ Filter Design for Discrete Networked System with Random Delay

作　　者：陈海霞[1] 张家海[1] 褚红燕[2] 

机构地区：[1]三江学院电气与自动化工程学院,江苏南京210012 [2]南京师范大学电气与自动化工程学院,江苏南京210042

出　　处：《南京邮电大学学报（自然科学版）》2011年第6期67-74,共8页Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition

基　　金：国家自然科学基金(60835001);江苏省自然科学基金(10KJB510009)资助项目

摘　　要：文中构造一新的滤波误差系统,研究一类具有随机通讯时滞的离散网络化系统的H∞滤波器设计。假设已知时滞分布于1至h的每一步的分布信息,而时滞为h+1至上界的分布总和已知,通过引入相互独立的随机变量序列,从而构建一新的滤波误差系统。在系统的稳定性分析和滤波器设计中,运用自由权矩阵和矩阵函数凸性,从而降低分析和设计的保守性。当获得更多的时滞信息时,稳定性条件也会改善。最终仿真结果和横向比较结果验证了所述方法的有效性。By constructing a new filtering-error system, this paper is deals with the problem of filter design for discrete-time networked systems with stochastic communication delays. It is assumed that the delay distribution information of the previous h steps is known, respectively, while the delay information of step h ＋ 1 to the upper bound is known as a whole,then a new filtering-error system model is constructed by intro- ducing a sequence of random variables. During the process of stability analysis and filter design, by intro- ducing the free weighting matrix and using the convexity property of the matrix inequality, conservative criteria are reduced in terms of analyzing the feasibility of a set of linear matrix inequalities（LMIs）. More- over, when we get more delay information of step h, the corresponding stability criteria can be improved. Simulation examples demonstrate the effectiveness and the merit of the proposed filter design technique in this paper.

关 键 词：网络化系统 随机变量 凸性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]