Reference Model-Based Event-Triggered Impulsive Control for Fixed-Time Consensus of Nonlinear Multi-Agent System

This paper is concerned with the fixed-time event-triggered impulsive consensus problem of nonlinear multi-agent systems (MASs), where the leader-following and leaderless consensus problems are considered simultaneously. Two new reference model-based event-triggered impulsive controllers with trigger functions are proposed to make all agents achieve consensus within a fixed time, which can substantially increase the convergence speed and reduce energy consumption. Then, some sufficient conditions are presented to guarantee that nonlinear MASs can reach fixed-time consensus in the case of agents’ dynamics being high-order. Moreover, it is proved that Zeno behavior can be avoided with the proposed control protocols. Finally, two numerical simulations are provided to validate the effectiveness of the proposed method.