Abstract: To address the issues of poor robustness, slow response speed, complex parameter tuning, and intricate design associated with traditional PI control, a finite control set-model predictive control(FCS-MPC) strategy is proposed based on direct power control(DPC) for the energy storage improved Y-source inverter(ES-IYSI). The proposed strategy aims to achieve balanced control of photovoltaic input, battery storage, and AC side output power. The operational principles of the ES-IYSI system in various modes are analyzed, and discrete models for DC side input current and AC side output current are constructed. The reference value for the input current on the DC side is determined through maximum power point tracking(MPPT) and PI control, while the reference value for the AC side current is derived from DPC control. Following the decoupled control concept of DC side boost control and AC side inverter control, a system objective function is formulated. Compared with traditional PI control, the proposed DPC-based FCS-MPC control strategy demonstrates enhanced robustness, faster response, simpler parameter adjustment, and easier design modeling. Finally, simulations conducted using Matlab/Simulink validate the effectiveness of the proposed control strategy.