具有分布式时滞与一步随机时滞系统的H_∞滤波  

H_∞ Filtering for a Class of Networked Systems with Distributed Delays and One-step Random Delays

作　　者：赵忠义[1] 邹磊[1] 宋保业[1] ZHAO Zhongyi ZOU Lei SONG Baoye(College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, Shandong 266590, Chin)

机构地区：[1]山东科技大学电气与自动化工程学院,山东青岛266590

出　　处：《山东科技大学学报（自然科学版）》2017年第4期101-107,共7页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：中国博士后科学基金项目(2016M600547);山东省高等学校科研计划项目(J14LN34)

摘　　要：研究了一类具有分布式时滞与一步随机时滞的网络化系统的H_∞滤波问题。系统的测量数据在传输时会发生一步随机时滞现象,该现象发生概率服从伯努利分布。针对这类系统,设计了一类特殊的H_∞滤波器。利用随机分析结合李亚普诺夫稳定性理论,给出了滤波误差系统均方指数稳定且具有给定H_∞性能的一个充分条件,并利用线性矩阵不等式方法给出了所需H_∞滤波器参数的显示表达。最后通过仿真算例验证了所提理论的有效性。In this paper, the H∞ filtering problem of a class of networked systems with both distributed delays and one-step random delays was investigated. One-step random delays would happen when the measured data of the systems was transmitted and the probability of occurrence complied with the Bernoulli distribution law. A H∞ filter was designed for this class of systems. Based on the Lyapunov stability theory combined with stochastic analysis ap proach, a sufficient condition was derived under which the filtering error system is exponential stable in the mean square with a prescribed H∞ filtering performance. The explicit expression for the desired filter parameter was then given in terms of the solutions of a set of linear matrix inequalities. A numerical example was given to verify the ef fectiveness of the proposed method of this paper.

关 键 词：网络化系统 分布式时滞 随机时滞 H∞滤波 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]