This brief develops a novel, fully distributed cooperative control algorithm for multiagent-based ac microgrids (MGs) utilizing a low-width communication network. The proposed scheme can coordinate inverters to eliminate any deviation from the nominal frequency in battery energy storage systems (BESSs) so as to achieve optimal charging/discharging rates as well as economical operation simultaneously. Practical constraints for the charging/discharging rate, state of charge (SoC), and charge–discharge cycle are imposed to design the control protocol. Each agent is equipment with a fully distributed controller, in which only its own information and that of its nearest neighbors are acquired through low-width communication links. The global asymptotic stability condition is established using the equilibrium point theory. Several cases are studied in MATLAB/Simulink to verify the scheme effectiveness in solving the frequency synchronization and economic dispatch problems.