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

• Published in: International journal of control, automation, and systems Vol. 21; no. 1; pp. 61 - 70
• Main Authors: Liu, Jiao, Wang, Xin
• Format: Journal Article
• Language: English
• Published: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.01.2023; Springer Nature B.V; 제어·로봇·시스템학회
• Subjects: Communications systems; Control; Control systems; Denial of service attacks; Dwell time; Engineering; Graph theory; Liapunov functions; Mechatronics; Multiagent systems; Regular Papers; Robotics; Switching theory; Topology; Tracking control; 제어계측공학; secure consensus control; multi-agent systems; Consecutive asynchronous DoS attacks; persistent dwell time
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-021-0564-4

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.