Adaptive Fuzzy Event-Triggered Control for Leader–Following Consensus of High-Order Nonlinear Systems

This article is concerned with the adaptive fuzzy event-triggered control for leader-following consensus of high-order nonlinear systems under directed communication topologies. Utilizing fuzzy logic systems to model the uncertain dynamics of the followers, a novel adaptive fuzzy event-triggered control law is presented, and a distributed event-trigger condition is proposed, simultaneously. The developed adaptive fuzzy event-triggered control is carried out by the violation of the designed event-trigger condition, which can realize ultimate state synchronization with bounded tracking errors. Moreover, the data transmissions and the frequency of the control law updates can be significantly reduced compared with the control law with fixed sampling period. In addition, it is proved that the Zeno behavior is excluded in the proposed control scheme. Finally, a simulation example is provided to illustrate the obtained theoretical results.