Event-Triggered Fixed-Time Tracking for Multi-Agent Systems with Directed Topologies and Communication Noises

This paper is concentrated on the study of fixed-time consensus problem of nonlinear multi-agent systems (NMASs) with stochastic disturbance under directed topologies. First, a novel event-triggered control (ETC) protocol is designed to realize the fixed-time consensus (FTC) of NMASs with stochastic disturbance. Compared with the existing results, the proposed ETC schemes can make NMASs with communication noises achieve the consensus tracking within a fixed time, is applicable for the detail-balanced directed, and is capable of requiring only intermittent communication. Then, some sufficient conditions are presented to guarantee the FTC. In addition, it is proved that no Zeno behavior exhibits by the ETC control protocols. Finally, a simulation case is supplied to validate the feasibility of the proposed method.