Abstract:

This paper proposes a Lyapunov based cooperative control for the coupling of the rotational and translational motion of the satellite formation flying, in which one leader multi follower satellite formation structure is adopted. More specifically, using the information of the inter satellite position, the desired attitude quaternion and angular velocity of the followers are determined, such that the desired attitude and position trajectories could be tracked, while simultaneously the synchronized motion among all spacecraft in formation is guaranteed. The stability analysis of the closed loop system is performed using Lyapunov stability theorem and the range of the control parameters are determined by using consensus algorithm even in the presence of external disturbances. Numerical simulation results are presented to show the effectiveness of the proposed controller.