This chapter discusses the robust discrete-time distributed intelligent cooperative protocol for AC microgrids in a distribution sparse network with uncertain communication links. To achieve the voltage regulation, frequency restoration as well as accurate power sharing for all the distributed energy resources, the discrete-time distributed intelligent cooperative protocol is designed for AC microgrids based on the iterative learning mechanics. The discussed controller appropriately responds to the uncertain communication links through an iterative operation manner, with only the requirement of accessing limited information of the system parameters. And the input of the proposed distributed intelligent cooperative protocol are simply updated at the end of each iteration operation, such that one DER agent only needs to communicate with their neighbors intermittently. Therefore, the communication cost can be greatly reduced. And some sufficient conditions on the system stability and robustness to the uncertainties are also derived by using the tools of direct Lyapunov method, algebraic graph theory, and linear matrix inequality theory. Moreover, the desired control objective can also be guaranteed even if all DER agents are subject to internal uncertainties and external noises including initial voltage and/or frequency resetting errors and measurement disturbances, which then improves the system reliability and robustness.