Quaternion versus Rotation Matrix Feedback for Spacecraft Attitude Stabilization Using Magnetorquers

The purpose of this paper is to compare performances between stabilization algorithms quaternion plus attitude rate feedback and rotation matrix for an Earth-pointing spacecraft with magnetorquers as the only torque actuators. From a mathematical point view, important difference two stabilizing laws that can exhibit undesired behavior known unwinding phenomenon. A numerical case study considered, Monte Carlo campaigns are carried out: one in nominal conditions perturbed conditions. It turns out compares more favorably terms speed convergence both campaigns, it requires less energy