A Resilient Approach to Distributed Filter Design for Time-Varying Systems Under Stochastic Nonlinearities and Sensor Degradation
A Resilient Approach to Distributed Filter Design for Time-Varying Systems Under Stochastic Nonlinearities and Sensor Degradation
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DOI：
10.1109/tsp.2016.2634541
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发表时间：
2017-03
影响因子：
5.4
通讯作者：
Qinyuan Liu;Zidong Wang;Xiao He;G. Ghinea;F. Alsaadi
中科院分区：
文献类型：
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作者：
Qinyuan Liu;Zidong Wang;Xiao He;G. Ghinea;F. Alsaadi
本文研究一类具有随机非线性和传感器退化的离散时变系统在有限时域上的分布式滤波问题。提出了一种两步分布式滤波算法，其中传感器节点通过利用来自本地节点和相邻节点的信息协同估计对象的状态。本文的目标是在给定的间歇性通信拓扑结构下，针对无线传感器网络设计分布式滤波器。此外，保证了一种弹性操作以抑制实际实现的滤波器增益上的随机扰动。首先利用归纳法推导出滤波误差协方差的一个上界，然后通过迭代求解一个二次优化问题使该上界最小化。为了考虑传感器网络的拓扑信息，利用一种新的矩阵简化技术根据给定的拓扑结构保持增益矩阵的稀疏性，并得到了期望的次优滤波器增益矩阵的解析参数化。此外，建立了一个充分条件以保证估计误差的均方有界性。进行了数值模拟以验证所提出的滤波算法的有效性。
This paper is concerned with the distributed filtering problem for a class of discrete time-varying systems with stochastic nonlinearities and sensor degradation over a finite horizon. A two-step distributed filter algorithm is proposed where the sensor nodes collaboratively estimate the states of the plant by exploiting the information from both the local and the neighboring nodes. The goal of this paper is to design the distributed filters over a wireless sensor network subject to given sporadic communication topology. Moreover, a resilient operation is guaranteed to suppress random perturbations on the actually implemented filter gains. An upper bound is first derived for the filtering error covariance by utilizing an inductive method and such an upper bound is subsequently minimized via iteratively solving a quadratic optimization problem. To account for the topological information of the sensor networks, a novel matrix simplification technique is utilized to preserve the sparsity of the gain matrices in accordance with the given topology, and the analytical parameterization is obtained for the gain matrices of the desired suboptimal filter. Furthermore, a sufficient condition is established to guarantee the mean-square boundedness of the estimation errors. Numerical simulation is carried out to verify the effectiveness of the proposed filtering algorithm.