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.
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.