Owing to the smart lifestyle, environmental consciousness, and dwindling fossil fuel supplies, there is a huge demand for clean and green energy. Microgrid (MG) is a crucial approach to renewable and clean energy. Because of the success of the AC utility grid and the growing demand for critical loads, it is very convenient to provide AC/DC MG that can easily satisfy both the alternating current (AC) MG and the direct current (DC) MG requirements. Due to uncertainty in load variations, main grid failures, intermittent power generations from renewable energy sources (RESs), the synchronization and interconnection of different power converters are the paramount issues in the control of AC/DC MG. This paper presents an overview-oriented state of the art in the recent advancement in control strategies of AC/DC MG and its associated power converters control. Based on recent research, this paper summarizes unobstructed views on different topologies, types of power converters, power converter controls, and control strategies of AC/DC MG. Finally, it identified some future challenges that need to be addressed in order to develop a sustainable and reliable control strategy for AC/DC MG. This paper will serve as a guide for researchers. INDEX TERMS Distributed generation, Microgrids, AC/DC Microgrid, Centralized control, Decentralized control I. INTRODUCTION MGs compromise different RESs, i.e., PV cells, windmills, energy-storing systems (ESS), diesel generator sets, and small hydropower plants, as discussed in the [1,2]. With the advancements in power semiconductor devices, the integration of RESs with leading utility or MG becomes so more accessible. Based on the adopted topology, there are three types of MGs, classified as DC MG, AC MG, and AC/DC MG or hybrid MG [3]. The DC MGs are preferred to supply critical loads like computers, operation theatres, and billing counters. Whereas the AC MGs are preferred in supplying all loads during off-grid or on-grid. The AC/DC MG possesses the characteristics of both DC MG and AC MG. Since begin, in these types of MGs, the power converters are connected in parallel with the MG bus-bar and belong to the parallel topology of MG. Recently a seriescascaded MG topology is being investigated. Inam Ullah Nutkani and et al. in [4] has presented a series-cascaded AC MG topology to integrate the non-dispatchable RESs to the MG and offered its advantages and disadvantages over the parallel topology. Fig.1 shows the different topological advances of MGs.