Consensus of Nonlinear Multi-Agent Systems with Semi-Markov Switching Under DoS Attacks

Sheng Tian (Faculty of Applied Sciences, Macao Polytechnic University), Hong Shen (School of Engineering and Technology, Central Queensland University & Faculty of Applied Sci., Macao Polytechnic University), Yuan Tian (College of Intelligent Technology and Engineering, Chongqing University of Science and Technology), Hui Tian (School of Information and Communication Technology, Griffith University)

Abstract

Denial of Service (DoS) attacks will destroy the communication channels between agents. How to reduce the impact of DoS attacks on system consensus of nonlinear multi-agent systems (MASs) with semi-Markov switching (SMS) is an important problem that has appeared in many applications. Existing work on consensus of nonlinear MAS with switching under DoS attacks can be divided into two categories: Markov switching (MS) and Semi-Markov Switching (SMS). There are many studies on MS, but very few on SMS. This is because the dwell time of the SMS obeys a more general probability distribution, which will bring new challenges to analysis. This paper proposes a novel approach that adopts a dynamic event-triggered strategy to reduce the frequency of control signals to complete the consensus on nonlinear MASs with SMS under DoS attacks. We use multiple Lyapunov functions established by stochastic techniques, and obtain sufficient conditions for MAS mean square consensus under aperiodic DoS attacks. The effectiveness of our strategy is verified by simulation results.