Autonomous control systems (ACS) are crucial for the efficient operation and long-term sustainability of lunar microgrids, which are designed to power habitats, life support systems, and scientific equipment on the Moon. As lunar missions transition from short-term visits to permanent habitation, microgrids must become self-sustaining and resilient to ensure continuous energy supply, even in the face of unpredictable challenges like extended lunar nights, solar radiation, dust accumulation, and system malfunctions. Autonomous systems can significantly enhance the management of these grids by automating fault detection, power distribution, load balancing, and system reconfiguration without requiring human intervention. This paper reviews the importance of ACS in lunar microgrids, focusing on the key features and benefits of such systems. It discusses the unique challenges of lunar environments, including radiation, temperature fluctuations, and the lunar dust problem, and examines the potential of ACS to address these challenges. Moreover, it explores current terrestrial autonomous control solutions, the adaptation of these technologies for lunar applications, and the integration of advanced machine learning algorithms for predictive maintenance and adaptive control. The paper also presents a case study analyzing the feasibility of implementing ACS in lunar microgrids. The review concludes by identifying critical areas for further research, ensuring that autonomous control systems are optimized for lunar microgrid operations and contribute to the overall success of future lunar missions.