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One of the most important challenges in controlling a Microgrid is to enable a multi-mode operation with a smooth change from different modes. Recently, hierarchical control is considered as an effective approach to control and manage a Microgrid. This paper proposes a compatible hierarchical control strategy, leveraging the superior characteristics of Andronov-Hopf Oscillator, that enables both grid-connected and islanded operation, as well as seamless, reliable transition between operation modes. The proposed control strategy includes a PI-based Power Tracking Control loop, a Power Sharing Control loop using average consensus approach, a PR-based Synchronization Control, and a Fault Initiated Islanding Detection based on wideband, online impedance estimation. The results in MATLAB/Simulink are provided to validate the effectiveness of the proposed strategy.