This chapter introduces a composite hierarchical anti-disturbance control (CHADC) strategy for nonlinear multi-agent systems (MASs) subjected to stochastic false data injection attacks (FDIAs) and multiple disturbances under a directed communication topology. To mitigate and counteract the adverse effects of two types of disturbances, a disturbance observer (DO) is designed to counteract the disturbanceDisturbance generated by exogenous system, and the \(H_\infty \)  control method is applied to attenuate the bounded compensation errors and other coupled error variables caused by the norm bounded disturbances and FDIAs simultaneously. To ensure the complete consensusComplete consensus performance of MASs, an observer-based control strategy is designed, and a novel adaptive compensation technique is proposed to not only evaluate the upper bounds of the unknown but bounded disturbances but also improve the accuracy of the state observer. Furthermore, a novel ETM is developed, which eliminates the need for continuous communication between neighboring agents, reducing the controller update frequency and communication load, while avoiding Zeno behaviorZeno behavior.