Secure Consensus Control for Multi-agent Systems Subject to Consecutive Asynchronous DoS Attacks

This paper investigates the distributed secure consensus tracking control problem of the leader-following multi-agent systems (MASs) under consecutive asynchronous denial of service (DoS) attacks. Consecutive asynchronous DoS attacks cause the system to switch among communication subgraphs corresponding to different types of DoS attacks. Based on switching theory, the MAS subject to consecutive asynchronous DoS attacks can be modeled as a switched system with persistent dwell time (PDT). The sleep phase of DoS attacks is considered to be τ -portion in which the communication topology is assumed with a directed spanning tree. The activation phase of DoS attacks can be regarded as T -portion, where effective DoS attacks will destroy the spanning tree structure of the topologies. By constructing the topology-dependent Lyapunov functions, secure controller and persistent dwell time are co-designed to ensure consensus tracking of MASs in the attack environment. Finally, the effectiveness and advantage of the provided method are illustrated with an example.