Distributed H ∞ sampled-data filtering over sensor networks with markovian switching topologies

doi:10.1155/2014/670467

	Distributed H ∞ sampled-data filtering over sensor networks with markovian switching topologies
	Yang, Bin; Zhu, Chaoqun; Wang, Zhiwen
刊名	Mathematical Problems in Engineering
	2014
卷号	2014
关键词	Lyapunov functions Markov processes Nonlinear control systems Sensor networks Sensor nodes Switching System stability Bounded real lemma Distributed filters Interval time-varying delays Lyapunov-Krasovskii functionals Markovian switching Mean square stability Switching topology Transmission delays
ISSN号	1024123X
DOI	10.1155/2014/670467
英文摘要	This paper considers a distributed H ∞ sampled-data filtering problem in sensor networks with stochastically switching topologies. It is assumed that the topology switching is triggered by a Markov chain. The output measurement at each sensor is first sampled and then transmitted to the corresponding filters via a communication network. Considering the effect of a transmission delay, a distributed filter structure for each sensor is given based on the sampled data from itself and its neighbor sensor nodes. As a consequence, the distributed H ∞ sampled-data filtering in sensor networks under Markovian switching topologies is transformed into H ∞ mean-square stability problem of a Markovian jump error system with an interval time-varying delay. By using Lyapunov Krasovskii functional and reciprocally convex approach, a new bounded real lemma (BRL) is derived, which guarantees the mean-square stability of the error system with a desired H ∞ performance. Based on this BRL, the topology-dependent H ∞ sampled-data filters are obtained. An illustrative example is given to demonstrate the effectiveness of the proposed method. © 2014 Bin Yang et al.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	Hindawi Limited, 410 Park Avenue, 15th Floor, 287 pmb, New York, NY 10022, United States
WOS记录号	WOS:000333710600001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/113074]
专题	电气工程与信息工程学院
作者单位	School of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
推荐引用方式 GB/T 7714	Yang, Bin,Zhu, Chaoqun,Wang, Zhiwen. Distributed H ∞ sampled-data filtering over sensor networks with markovian switching topologies[J]. Mathematical Problems in Engineering,2014,2014.
APA	Yang, Bin,Zhu, Chaoqun,&Wang, Zhiwen.(2014).Distributed H ∞ sampled-data filtering over sensor networks with markovian switching topologies.Mathematical Problems in Engineering,2014.
MLA	Yang, Bin,et al."Distributed H ∞ sampled-data filtering over sensor networks with markovian switching topologies".Mathematical Problems in Engineering 2014(2014).