Event-Based Distributed Adaptive Fuzzy Consensus for Nonlinear Fractional-Order Multiagent Systems

This article studies the problem of distributed event-triggered adaptive fuzzy consensus tracking control for a class of nonlinear fractional-order multiagent systems (FOMASs). Two new event triggering mechanisms are designed for communication and control, respectively, where triggering conditions do not depend on the global information and a positive lower bound of transmission interval can be ensured. Meanwhile, a modified event-based consensus protocol combining a continuous function is presented, which overcomes the difficulty of control design caused by discontinuous information transmission. By introducing a compensating state estimator, it is shown that the bounded consensus of higher-order FOMASs can be still achieved under a directed graph even though the derivative of the leader signal is unknown to all agents. Stability analysis based on the fractional-order Lyapunov direct method and simulation examples verify the correctness of the presented method.