Observer-based secure consensus tracking of positive multi-agent systems under periodic denial-of-service attacks

Abstract

This paper investigates the problem of secure consensus tracking for positive multi-agent systems (MASs) under periodic denial-of-service (DoS) attacks, where DoS attacks usually impede the transmission of signals between agents. The considered DoS attacks in this paper are assumed to recur periodically, guided by a time-sequence approach. Firstly, an observer-based output-feedback consensus tracking algorithm is proposed to ensure that all state variables within each agent in positive MAS are accurately tracked to the agent at the origin. Moreover, the frequency and average paralyzed time of DoS attacks are also carefully analyzed, and some sufficient conditions for the positivity and stability of the MAS are provided by resorting to positive system theory and Lyapunov stability theory. It is proven that all signals of positive MAS can be tracked to the target origin position. Finally, two simulations are presented to illustrate the theoretical results.