Twistor-Based Global Hybrid Finite-Time Pose Tracking for 6-DOF Dual Spacecraft Formation

A twistor-based position-attitude integrated tracking control scheme is proposed for six-degree-of-freedom (6-DOF) leader-following dual spacecraft formation, which achieves global finite-time stability by combination of the hybrid system theory and homogeneous theory. First, the coupled 6-DOF relative motion equations of dual spacecraft formation are established based on twistors to simplify the design of the controller. Second, a hybrid pose tracking scheme is constructed to get rid of the topological constraint of attitude motion, which, meanwhile, avoids singularity and unwinding phenomena. Third, the global finite-time stability of the closed-loop system is proved rigorously via the homogeneous theory and Lyapunov stability theory. Finally, numerical simulations are carried out to demonstrate the effectiveness of the proposed control scheme, and the comparisons with asymptotic control schemes show its superiority.