Impulsive Control of Attitude Satellite With Quaternion ‎Parameters

Subject Areas : International Journal of Industrial Mathematics

محمدرضا نیکنام ¹ , نادره عبدی صبوحی ²

1 - Department of Mathematics, Khalkhal Branch, Islamic Azad University, Khalkhal, Iran.
2 - Department of Education, Farhangian University, Tabriz, Iran.

Received: 2021-01-13 Accepted : 2022-02-10 Published : 2022-04-01

Keywords: Satellite attitude, Lyapunov exponent, Impulsive control, Quaternion, Chaotic system,

Abstract :

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.

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