Leader-Following Exponential Consensus for Higher-Order Fractional-Order MASs With Mismatched Disturbances and Event-Triggered Input

The leader-following exponential output consensus (LFEOC) problem of nonlinear fractional-order MASs (FOMASs) with unknown mismatched disturbances and event-triggered control (ETC) input is investigated. First, a finite-time higher-order sliding observer is constructed for the estimation of the unknown matched and mismatched disturbances of each agent. Second, a distributed integral sliding-mode (ISM) surface is established to realize exponential stabilization of FOMASs, and a distributed event-based active anti-disturbance consensus protocol is designed to compensate the effects of unmatched uncertainties on the output and save energy. Third, it is proved that the output of all agents can be driven to achieve exponential consensus without Zeno behavior, and the corresponding event-triggered conditions are presented. Finally, the efficacy of conclusions is verified by the examples.

Automated summary

This paper investigates the leader-following exponential output consensus problem of nonlinear fractional-order multi-agent systems (FOMASs) with unknown mismatched disturbances and event-triggered control input. The proposed approach includes the construction of a finite-time higher-order sliding observer for disturbance estimation, establishment of a distributed integral sliding-mode surface for exponential stabilization, and design of a distributed event-based active anti-disturbance consensus protocol. The results show that the output of all agents can achieve exponential consensus without Zeno behavior under certain event-triggered conditions.