Prescribed-time time-varying sliding mode based integrated translation and rotation control for spacecraft formation flying

<p style='text-indent:20px;'>This paper studies the prescribed-time spacecraft formation flying problem. The coupled 6-degrees-of-freedom kinematics and dynamics for spacecraft are modeled on Lie group SE(3), where the gravity-gradient torque, the perturbing forces caused by Earth's oblateness and unknown external disturbances are all taken into account. The relative configuration is expressed by using exponential coordinates of SE(3). In order to regulate the relative motion between the leader spacecraft and follower spacecraft, a novel prescribed-time control law is given based on a prescribed-time time-varying high-gain sliding mode method. Numerical simulations verify the effectiveness of the proposed control scheme.</p>