So as to achieve our “Double carbon” target, the state focus on promoting the construction of large wind power photovoltaic bases. The large-scale new energy access to power system will lead to the large-scale power grid rotary inertia reduction, system frequency stability reduction and other problems. Virtual synchronous generator (VSG) control technology is a extensively used grid-forming control technology (GFM). By introducing virtual moment of inertia and damping coefficient, VSG can support voltage and provide active inertia, it can replace the synchronous machine to support the voltage and frequency of power grid, and maintain the stability of power system operation, but sacrifice some dynamic regulation ability. So as to further improve the dynamic performance of grid-based inverter, based on the traditional inverter control strategy, combined with fuzzy control theory, an adaptive control strategy based on fuzzy control for virtual inertia and damping of grid-structured inverter is designed. The results of MATLAB/Simulink simulation platform show that the proposed fuzzy adaptive control strategy can significantly improve the dynamic performance of power system, and the fuzzy adaptive control strategy is effective.