Distributed Filtering Over Sensor Networks With Byzantine Attacks: A Token Bucket Protocol
研究了传感器网络中时变状态饱和系统在拜占庭攻击下的分布式滤波问题，采用令牌桶协议调节数据传输，通过最小化滤波误差协方差上界设计滤波器增益，并分析了误差动态的有界性。
In this article, the distributed filtering issue is explored for time-varying state-saturated systems affected by Byzantine attacks over sensor networks. To regulate data transmission, a token bucket protocol (TBP) is utilized, in which the stochastic nature of token consumption arises from variations in packet sizes. Particularly, the measurements are transmitted to the filter only when the available tokens suffice to meet the required consumption. A Byzantine attack model is formulated in which Byzantine nodes arbitrarily alter the measurement signals transmitted to neighboring nodes. The primary objective is to construct an upper bound of the filtering error covariance (FEC) and to compute suitable filter gains by minimizing this bound. Furthermore, the boundedness of the proposed filtering error dynamics is rigorously analyzed via matrix-based theoretical analysis. Finally, numerical simulations are conducted to verify the effectiveness of the proposed algorithm.