Abstract: Based on Unscented filtering method and Huber robust filtering method, an adaptive robust relative navigation Huber-UKF filter is obtained. Besides, the second-order sliding model control in terms of the twist algorithm is used to design the relative orbital controller and the robustness of the system is increased. Simulation results demonstrate the relative navigation method and relative orbital control algorithm are applied to the precise formation flying with the target on elliptical orbit and are robust to the thrust fault of the chase spacecraft.