The battery energy stored quasi-Z-source (BES-qZS) based photovoltaic (PV) power generation system combines advantages of the qZS inverter and the battery energy storage (BES) system. To realize multi-objective cooperative control, a model predictive control (MPC) strategy for the PV grid-connected system based on an energy-storage quasi-Z source inverter (ES-qZSI) is proposed. The energy storage battery is added to the traditional quasi-Z source inverter (qZSI). The MPC strategy is adopted to realize maximum power point tracking (MPPT), battery, and point of common coupling (PCC) tripartite e...