Abstract

This article focuses on the consensus problem of linear multi-agent systems under denial-of-service attacks and directed switching topologies. With only intermittent communication, the leader-following consensus can be preserved by fully distributed event-triggered strategies. Theoretical analysis shows that the proposed event-triggered resilient controller guarantees the exponential convergence in the presence of denial-of-service attacks and the exclusion of Zeno behavior. Compared to the existing studies where continuous communication between neighboring agents is required, the event-triggered data reduction scheme is provided to tackle the effects of denial-of-service attacks on directed switching topology as well as to avoid continuous communication and reduce energy consumption. The obtained results can be extended to the scenario without a leader. Numerical simulations are finally given to illustrate the effectiveness of the proposed method.

Highlights

  • In past decades, cooperative control of multi-agent systems (MASs) has become one of the significant research interests in many areas, such as artificial intelligent, mathematics, biology, and control engineering (Olfati-Saber and Murray, 2004; Ren et al, 2007; Mei et al, 2016)

  • Many efforts were devoted to the consensus problem for MASs with the eventtriggered strategies

  • For the directed switching topological structure, our objective is to cope with the leader-following consensus problem of multi-agent systems under DoS attacks by designing event-triggered information transmission and control scheme, which leads xi(t) − x0(t) exponentially to converge to 0, and exclude the Zeno behavior

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Summary

Introduction

Cooperative control of multi-agent systems (MASs) has become one of the significant research interests in many areas, such as artificial intelligent, mathematics, biology, and control engineering (Olfati-Saber and Murray, 2004; Ren et al, 2007; Mei et al, 2016). One of the most important cooperative controls, is to guarantee the agents to achieve an agreement via neighborhood communication. In Ma and Yang, (2016), Wang and Yang, (2016), Wang et al, (2020), and Zhang et al, (2021), continuous communication of neighbor agents and control is required to achieve the consensus for MASs. Recently, many efforts were devoted to the consensus problem for MASs with the eventtriggered strategies. The event-triggered control method has obvious advantages which can effectively avoid continuous communication and reduce energy consumption and is widely applied in dealing with the scenario in which the bandwidth of the communication channel in a multi-agent system is limited. For MASs with general linear dynamics, Yang et al, (2016), Cheng et al, (2017), Cheng and Li, (2019), Hu et al, (2020), and Xu and Wu, (2021) considered the consensus problem by

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