Abstract: In order to avoid the defect of neglecting resistance and disturbance signals for predictive current control algorithm, a self-adaptive control algorithm suitable for photovoltaic grid-connected inverter was proposed. The algorithm was designed based on Lyapunov’s direct method, which could adaptively adjust the unknown parameters according to realtime data, on the premise of reaching control objective and stability. The errors caused by hypothesizing voltage or current and neglecting load resistance could be avoided, and robustness of controller could be improved to make it more robust to disturbances. The proposed algorithm was verified through simulation and experiments.