Abstract To enhance the delay-dependent stability of interconnected microgrids, a novel adaptive control strategy is designed in this paper. Firstly, an adaptive robust control model is established to coordinate multi-MGs energy management. By regulating control parameters, Lyapunov stability without delay can be guaranteed. Secondly, stability evaluation methods considering uncertainty, such as mode perturbation and communication failure, are proposed to analyze delay-independent system. On this basis, to eliminate the adverse effects of delay caused by wide-area measurement, an active disturbance rejection stabilizer is designed here, which can be self-adjust adaptively via delayed time, and doesn’t require multiple iterations in the parameters regulation. Through Schur complement theorem, the analytic expression of feedback gains is obtained from linear matrix inequalities. Finally, with an IEEE 118-node test feeder as an example, the numerical simulation verifies the feasibility of the proposed stabilizer under the cases of long delays.