Battery storage is commonly used in photovoltaic (PV) systems to mitigate power fluctuations caused by the inherent characteristics of PV panels and variations in solar irradiance. The control strategies for PV-battery systems should be capable of stabilizing voltage variations and flexibly managing power flows. This research presents a comprehensive control and power management framework for PV-battery-based hybrid microgrids, supporting both AC and DC power transfer in grid-connected and islanded operational modes. The proposed system effectively regulates DC and AC transfer voltages and frequency, ensuring stability. It efficiently controls the voltage and power of each unit while flexibly balancing power flows within the system under various operating conditions. This includes handling disturbances caused by switching between operating modes, temperature and irradiance fluctuations, and load variations. Simulation and MATLAB result analyses have been conducted to validate the performance of the proposed strategy.