Fault-Tolerant Stabilization of a Tethered Satellite System Using Offset Control

slidingmodecontrollawandanadaptivefault-tolerantcontrollawinthepresenceofunknownslow-varyingsatellite mass distribution and tether rigidity parameters. Several numerical examples are presented to demonstrate the efficacy of the proposed control algorithms. Final results show that the high-amplitude oscillations present in the inplane motion of the main satellite due to tether severance are effectively damped within a quarter of an orbit. In addition, an abrupt blockage of one of the tether attachment points is simulated, and the control law verifies the possibility of controlling the attitude of the satellite. The numerical results clearly establish the robustness of the proposed adaptive offset control scheme in regulating the satellite dynamics of a two-tether system in the event of breakage of one of the tethers.

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