Impulsive Control of Attitude Satellite With Quaternion ‎Parameters

This article uses impulsive control along with quaternion parameters instead of Euler angles in kinematics equations of satellite. The quaternion parameters are applied to overcome singularity problem in the numerical solution. It is assumed that the satellite is subjected to deterministic external perturbations. At first, the chaotic behavior of system is investigated when there is no control on the system. Then, impulsive control is used to stabilize the satellite attitude around the equilibrium point of origin. Finally, simulation results are given to visualize the effectiveness and feasibility of the proposed method.