## 1 Introduction  
With the continuous update and development of science and technology, especially the continuous improvement of power electronic interface technology and modern automatic control theory, a small power generation, distribution, and electricity system \"microgrid\" has been formed, which integrates distributed generation (DG), energy management system, and load [1]. Whether it is AC microgrid or DC microgrid, when AC load and DC load coexist, a large number of converters are needed in the microgrid for electrical energy conversion, which will cause a certain amount of energy waste and increase economic costs [2]. The typical AC/DC hybrid microgrid is composed of AC subsystem, DC subsystem, and interlinking converter (ILC) [3]. The AC load and DC load can be connected to AC bus and DC bus, respectively, which can greatly reduce the number of power electronic converters and reduce unnecessary power loss. It is considered to be the mainstream structure of microgrid in the future. The AC/DC hybrid microgrid can solve the problem of power conversion of the load because it contains one or more interlinking converters, various forms of DG, and energy storage units. How to reasonably control each power electronic converters to ensure the stability of the microgrid system has always been the research focus of experts and scholars. Power control is the most important control mode in AC/DC hybrid microgrid. It is necessary to consider not only the control strategy of AC sub-microgrid and DC sub-microgrid but also the overall control strategy, that is, to ensure that power can flow in both directions between AC and DC sub-microgrid [4]. The power control for the DC microgrid is as follows: In Reference [5], [PERSON] et al. first used the droop control with different droop coefficients to rationally distribute the power of the system load. In Reference [6], [PERSON] et al. proposed a hierarchical control strategy. The lower controller is used to divide the current equally, and the higher controller is used to recover the voltage, which can effectively solve the problem of bus voltage deviation. [PERSON] and others used global communication to obtain the output current of DG, and adopt an average current sharing control strategy to recover the bus voltage [7]. The power control of the AC microgrid is as follows: In Reference [8], [PERSON] et al. proposed a centralized control method, which consists of a centralized controller and a local controller. Among them, the centralized controller is responsible for calculating the reference value of the output current loop of each converter and then using the high-speed communication line to send to each converter, and finally being controlled by the local controller. In Reference [9], [PERSON] et al. proposed to use of master-slave control technology, which includes a master converter and several slave converters. Each slave converter needs to track the output current of the master converter. The power control of AC/DC hybrid microgrid is as follows: In Reference [10], [PERSON] et al. adopted master-slave control technology to realize smooth and reliable energy exchange on both sides of the AC/DC hybrid microgrid. In Reference [11], [PERSON], [PERSON] et al. proposed a hierarchical control strategy based on drooping control. Due to the different impedance between low-voltage and traditional high-voltage microgrids connected to transmission lines, the power coupling problem was caused. In Reference [12], [PERSON] et al. proposed a decentralized controller method for a large system, which is mainly divided into two layers. The first layer, through pretreatment, gives the relevant state matrix of the closed-loop system two ideal structural characteristics: there is no structural fixed mode. In the second layer, the control scheme can be chosen arbitrarily according to the needs, so that the method has diversity. In Reference [13], [PERSON] et al.