Halo orbit targeting guidance via higher order sliding techniques

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.