Optimal Sliding Guidance for Earth-Moon Halo Orbit Station-Keeping and Transfer

Abstract

An Optimal Sliding Guidance (OSG) is implemented in the Circular Restricted Three-Body Problem and Restricted Four-Body Problem for spacecraft near libration points of the Earth-Moon system. Based on a combination of generalized Zero-Effort-Miss/Zero-Effort-Velocity and time-dependent sliding control theory, OSG is capable of generating closed-loop guided trajectories that are demonstrated to be globally finite-time stable against uncertain perturbing accelerations with known upper bound. The application of the OSG for Halo orbit station-keeping and orbital transfer are studied in a perturbed four body dynamical model in order to evaluate response and effectiveness of the proposed guidance approach.