Adaptive Prescribed-time Control for Coupled 6-DOF Spacecraft Formation Flying

This paper studies the prescribed-time spacecraft formation flying problem under known and unknown external disturbance. The coupled 6-degrees-of-freedom relative kinematics and dynamics for spacecraft are modeled by using exponential coordinates of SE(3). With the help of the linear time-varying Lyapunov inequality based prescribed-time stability theorem, a novel global adaptive prescribed-time time-varying high-gain control law is designed by backstepping. It is shown that the designed controller is bounded. Numerical simulations verify the effectiveness of the proposed control method.