引用本文:朱凤增,闻继伟,彭力,等.带有随机测量数据丢失及切换拓扑的传感器网络分布式$l_2-l_infty$滤波器设计[J].控制与决策,2020,35(8):1841-1848
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带有随机测量数据丢失及切换拓扑的传感器网络分布式$l_2-l_infty$滤波器设计
朱凤增,闻继伟,彭力,杨瑞田
(1. 江南大学物联网应用技术教育部工程中心,江苏无锡214122;2. 无锡太湖学院江苏省物联网应用技术重点建设实验室,江苏无锡214064)
摘要:
研究一类具有测量数据随机丢失以及网络拓扑结构随机切换的分布式$l_2-l_\infty$滤波器设计问题.在分布式滤波器网络,每个本地滤波器估计系统的状态不仅基于节点自身信息,而且利用网络拓扑中邻居节点的信息.首先,采用已知概率分布的二进制序列描述传感器测量数据的随机丢失,Markov链描述滤波器网络拓扑结构的切换;其次,构造一个Lyapunov函数来分析滤波误差系统的$l_2-l_\infty$性能,并研究其均方指数稳定性;再次,通过线性矩阵不等式(LMI)技术,给出分布式$l_2-l_\infty$滤波器的设计方法;最后, 通过数值例子验证所提方法的有效性.
关键词:  分布式滤波  $l_2-l_\infty$性能  切换拓扑  数据丢失  传感器网络
DOI:10.13195/j.kzyjc.2018.1301
分类号:TP273
基金项目:国家重点研发项目(2018YFD0400900);国家自然科学基金项目(61873112);教育部-中国移动科研基金项目(MCM20170204); 江苏省博士后科研计划项目(1601085C).
Distributed $l_2-l_infty$ filtering for sensor networks with missing measurements and switching topology
ZHU Feng-zeng,WEN Ji-wei,PENG Li,YANG Rui-tian
(1. Research Center of Engineering Applications for IOT,Jiangnan University,Wuxi 214122,China;2. Jiangsu Province Internet of Things Application Technology Key Construction Laboratory,Wuxi Taihu College, Wuxi 214064,China)
Abstract:
In this paper, the problem of $l_2-l_\infty$ filters design is addressed for sensor networks with missing measurements and switching topology. In a distributed filtering network, each local filter estimates the system states from not only its own information but also its neighboring filters’ information. Firstly, the missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. Meanwhile, the topology under consideration evolves by an event switch which is assumed to be subject to a Markov chain. Then, by constructing a Lyapunov functional, a sufficient condition is derived to guarantee the $l_2-l_\infty$ performance and the exponential mean-square stability of the resulting filtering error dynamics. Subsequently, the design method of the distributed $l_2-l_\infty$ filters is obtained through the linear matrix inequality(LMI) technique. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
Key words:  distributed filtering  $l_2-l_\infty$ performance  switching topology  missing data  sensor networks

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