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Halo orbit targeting guidance via higher order sliding techniques

Simo, Jules and Fufaro, Roberto and Wibben, Daniel (2013) Halo orbit targeting guidance via higher order sliding techniques. In: Advances in Astronautical Sciences. Advances in the Astronautical Sciences, 150 . Univelt Inc, Hilton Head SC, pp. 2341-2354.

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In this paper, the Multiple Sliding Surface Guidance (MSSG) algorithm has been implemented and simulated to verify the ability to target the insertion point of a suitable halo orbit in the vicinity of the Sun-Earth libration points. Based on Higher-Order Sliding Control (HOSC) theory, the proposed MSSG algorithm computes an acceleration command that target a specified state by considering only knowledge of the current and desired position and velocity. Results show that the guidance scheme is able to successfully target a suitable state for proper orbital insertion. Furthermore, it will be shown how the algorithm can be used to target the L1 point in the Sun-Earth system. A detailed study has also been performed to investigate the guidance performances as function of the guidance parameters. The global stability of the proposed guidance scheme is proven using Lyapunov-based approach.