Fully distributed consensus of nonlinear fractional multi‐agent systems based on combined event‐triggered mechanism

Abstract

This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ensures that the event triggering time series of each agent are independent of each other, thus effectively reducing the interaction frequency of network data. Subsequently, a fully distributed event‐triggered consensus protocol for the leader‐following fractional chaotic multi‐agent systems is proposed, and the sufficient conditions of consensus are attained via fractional Lyapunov functional approach. Finally, two simulation experiments are presented to illustrate that the proposed event‐based consensus protocol can effectively reduce the frequency of actuator data update while ensuring desired consensus performance.