Abstract
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.
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Jiao Liu received her B.S. degree in electrical engineering and automation from Ludong University, Yantai, China, in 2011, and a Ph.D. degree in control theory and control engineering from Dalian University of Technology, Dalian, China, in 2017. She is currently a Lecturer in the School of Artificial Intelligence, Hebei University of Technology. Her research interests include switched positive systems, security control of cyber-physical systems, and multi-agent systems.
Xin Wang received her B.S. degree in automation from Liren College of Yanshan University, Qinhuangdao, China, in 2019. She is currently a master student in control science and engineering at Hebei University of Technology. Her research interests include multi-agent systems, security control of cyber-physical systems, and distributed estimation of systems.
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This work is supported by National Natural Science Foundation of China under 62103129, Natural Science Foundation of Hebei Province under F2022202046, and Innovative Capability Improvement Program of Hebei Province under 18961604H.
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Liu, J., Wang, X. Secure Consensus Control for Multi-agent Systems Subject to Consecutive Asynchronous DoS Attacks. Int. J. Control Autom. Syst. 21, 61–70 (2023). https://doi.org/10.1007/s12555-021-0564-4
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DOI: https://doi.org/10.1007/s12555-021-0564-4