This chapter proposes a resilient distributed multi-agent control scheme for AC microgrids subject to additive noise and time-delay disturbances. The proposed multi-agent control scheme is composed of three distributed consensus protocols, which is able to synchronize the output voltages and frequencies of inverter-based DERs to their reference values and achieve the optimal active power-sharing property by a low bandwidth communication network with noise and time-delay disturbances in almost sure convergence. By means of the stochastic analysis tools and algebraic graph theory, distributed consensus control protocols are designed to be employed for the secondary control layer of microgrids. On this basis, we deduce the stability criteria of the closed-loop microgrid system under noise and time-delay disturbances. As a result, the proposed consensus protocols can well restore the voltage and frequency derivation produced at the primary control layer, meanwhile, can well achieve the optimal power sharing even though there exist communication disturbances. Several simulation scenarios on an islanded microgrid are provided to verify the control performance.