Global set stabilization of the spacecraft attitude control problem based on quaternion

Abstract In this paper, we develop a global set stabilization method for the attitude control problem of spacecraft system based on quaternion. The control law which uses both optimal control and finite-time control techniques can globally stabilize the attitude of spacecraft system to an equilibrium set. First for the kinematic subsystem, we design a virtual optimal angular velocity. Then for the dynamic subsystem, we design a finite-time control law which can force the angular velocity to track the virtual optimal angular velocity in finite time. It is rigorously proved that the closed loop system satisfies global set stability. The control method is more natural and energy-saving. The effectiveness of the proposed method is demonstrated by simulation results.

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