TITLE:
Sliding Mode Control of Chaotic Motion in Electrodynamic Tethered Satellite System in an Inclined Elliptical Plane
AUTHORS:
Ahmad Yousof Ahmad Taha, Ahmed Magdy Abdelaziz, Abd El Hakeem Abd El Naby, Yehia A. Abdel-Aziz
KEYWORDS:
Chaos, Electromagnetic Force, Melnikov Analysis, Poincaré Section, Sliding Mode Control, Tethered Satellite System
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.5,
May
26,
2025
ABSTRACT: This paper investigates the chaotic behavior of an electrodynamic tethered satellite system (ETSS) orbiting Earth in an inclined elliptical orbit. The system is modelled using a dumbbell model. The presence of chaos is established through the computation of transversal heteroclinic orbits, and the corresponding parameter domain for chaotic motion is determined using the Melnikov function. A tether length control strategy based on sliding mode control is proposed to suppress the chaotic motion. Finally, numerical simulations are presented to validate the occurrence of chaos within the identified parameter domain and its control.