Dynamic Event-Based Distributed Piecewise Filtering Over Sensor Networks Under Periodic DoS Attacks

In this article, the problem of distributed filtering for a class of linear discrete-time systems under periodic denial-of-service (DoS) attack is investigated. First, a cyclical and repeatable variable is introduced to characterize the behavior of a periodic DoS attack. Based on the introduced variable, a novel dynamic event-triggered scheme is designed to reduce the network transmission burden. Second, a cyclic switching estimation error model, which includes stable subsystems in the absence of a DoS attack and unstable subsystems in the presence of a DoS attack, is constructed. The global exponential stability with $H_\infty$ performance is synthesized by utilizing multiple piecewise Lyapunov functions, and the gain matrix of the distributed filtering is derived in piecewise form. Third, the codesign algorithm of the dynamic event-triggered scheme and distributed piecewise filtering is proposed to make a tradeoff between network transmission burden and the performance of distributed filtering. Finally, an example is applied to verify the effectiveness of the proposed distributed piecewise filtering.