Consensus of fractional multi-agent systems with disturbances

In this paper, a class of fractional multi-agent systems with external disturbances is studied. A pinning control strategy is designed for a part of agents of the multi-agent systems without disturbances, and this pinning control can bring multiple agents' states to reaching an expected consensus track. A disturbance observers based control (DOBC) are developed for disturbances generated by an exogenous system to estimate the disturbances. Through fractional order system stability theory, a fractional composite controller for the anti-interference of multi-agent system is proposed, which will make the multi-agent systems with disturbance reach consensus asymptotically.