Generalised Inversion Based Attitude Control for Underactuated Spacecraft

The methodology based on the concept of generalized inversion is investigated for asymptotic stabilization of underactuated rigid body dynamics under two degrees of actuation. Firstly, the underactuated kinematics and dynamics system is partitioned into three subsystems, and the underactuated subsystem is transformed into the point-wise linear form by differential geometry theory to achieve global realisability. Furthermore, with the introduction of dynamically scaled generalized inversion and perturbed null-control vector, a continuous feedback control law is designed to achieve the attitude stabilization of the underactuated spacecraft. Finally, the analytical and simulation results show that the proposed control methodology is effective.