Quasi-Sure Consensus of Multiagent Systems: G-Noise Communication Protocols Under DoS Attacks

Abstract

This paper addresses the quasi sure consensus problem for multi-agent systems (MASs) in the context of Denial-of-Service (DoS) attacks. Instead of adopting the conventional noise-based protocols driven by Brownian motion, a novel G-noise communication protocol is first proposed to realize the consensus. Moreover, the consensus protocol not only contains time-varying and nonlinear characteristics, but also focuses on DoS attacks. The protocol driven by G-Brownian motion is characterized in the sublinear expectation framework, which leads to the infeasibility of the existing theory. To overcome the difficulty, a new theoretical framework is established to develop consensus criterion. More specifically, first, the non-zero property of MASs is introduced to ensure the rationality of the construction for the Lyapunov function. Then a sufficient criterion for guaranteeing the consensus of MASs is demonstrated by utilizing Lyapunov method, graph theory, stochastic analysis theory, which depends on DoS duration, noise intensity and G-Brownian motion parameters. Ultimately, theoretical results are associated with islanded microgrid systems with a numerical simulation being exploited.