Research achievements of our project team on precision docking control for probe-and-drogue autonomous aerial refueling of UAV are reviewed. First, the bow wave model of the receiver and the control-oriented drogue motion prediction model are introduced, which are established by deep learning method combined with CFD and high-order complex model simulation data. Then, through in-depth analysis of the successful experience of manned aerial refueling, the backstepping high-order sliding mode anti-disturbance docking controller, the translation and rotation combined docking controller and the direct/preview composite guidance docking controller are creatively put forward. Simulation results show that the proposed method greatly improves the docking accuracy of the autonomous aerial refueling.