Sampled-Data-Based Consensus of Distributed Multi-Agent Systems Under DoS Attacks

This article focuses on the distributed sampled-data consensus of a generally linear multi-agent system exposed to denial-of-service (DoS) attacks. When DoS attacks happen, blocking the transmission of the sampled signals through the communication network, no signal can be received by systems. We consider DoS attacks allowed to occur randomly with limited duration time. For MASs in which agent states are sampled periodically, logical processors embedded in the distributed controllers that can receive sampled signals and obtain attack information are introduced. The original system is then reformulated into an aperiodic sampled-data control system(SDCS) affiliated with the minimum and maximum limits of DoS attacks duration time. A distributed sampled-data control law against Dos attacks is developed based on the looped-Lyapunov functional approach and the free weight matrix method. Finally, the effectiveness of the proposed techniques is illustrated through a numerical example of a 4-agent system.