Distributed Set-Membership Filtering for Multirate Systems Under the Round-Robin Scheduling Over Sensor Networks

Distributed Set-Membership Filtering for Multirate Systems Under the Round-Robin Scheduling Over Sensor Networks
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传感器网络循环调度下多速率系统的分布式集成员过滤

DOI:
10.1109/tcyb.2018.2885653
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发表时间:
2020-05
影响因子:
11.8
通讯作者:
Maozhen Li
Maozhen Li
中科院分区:
计算机科学1区
文献类型:
--
作者:
Shuai Liu;Zidong Wang;Guoliang Wei;Maozhen Li

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本文研究了传感器网络中一类时变多速率系统的分布式集员滤波问题。为了减轻通信负担,采用轮询(RR)协议来协调传输顺序,在这种顺序下,每个传感器节点只向相应的本地过滤器及其相邻节点广播部分信息。为了满足实际传输要求,同时降低通信成本,提出了多速率策略来控制对象、传感器和滤波器的采样/更新率。利用提升技术,建立了具有统一采样率的增广滤波误差系统。所寻址的滤波问题的主要目的是设计一组分布式滤波器,使得在RR传输协议、多速率机制和有界噪声同时存在的情况下,存在在每个时刻包括所有可能的误差状态的特定椭球体。然后,通过在加权矩阵的最小迹的意义下最小化这样的椭球来获得期望的分布滤波增益。所提出的资源高效的过滤算法是递归的,便于在线实现。最后给出了一个数值仿真算例,验证了基于协议的分布式滤波器设计方法的有效性。
In this paper, the distributed set-membership filtering problem is dealt with for a class of time-varying multirate systems in sensor networks with the communication protocol. For relieving the communication burden, the round-Robin (RR) protocol is exploited to orchestrate the transmission order, under which each sensor node only broadcasts partial information to both the corresponding local filter and its neighboring nodes. In order to meet the practical transmission requirements as well as reduce communication cost, the multirate strategy is proposed to govern the sampling/update rate of the plant, the sensors, and the filters. By means of the lifting technique, the augmented filtering error system is established with a unified sampling rate. The main purpose of the addressed filtering problem is to design a set of distributed filters such that, in the simultaneous presence of the RR transmission protocol, the multirate mechanism, and the bounded noises, there exists a certain ellipsoid that includes all possible error states at each time instant. Then, the desired distributed filter gains are obtained by minimizing such an ellipsoid in the sense of the minimum trace of the weighted matrix. The proposed resource-efficient filtering algorithm is of a recursive form, thereby facilitating the online implementation. A numerical simulation example is given to demonstrate the effectiveness of the proposed protocol-based distributed filter design method.
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