Station-Keeping on Near-Rectilinear Halo Orbits via Full-State Targeting Model Predictive Control

We develop a model predictive control (MPC) policy for station-keeping (SK) on a Near-Rectilinear Halo Orbit (NRHO). Leveraging the controllability obtained from a control horizon consisting of two maneuvers, the proposed MPC policy achieves full-state tracking of a reference NRHO. By spacing the maneuvers one revolution apart, our method abides by the typical mission requirement that at most one maneuver is utilized for SK during each NRHO revolution. Through full-state tracking, the proposed policy does not suffer from phase deviation in the along-track direction of the reference NRHO, a common drawback of existing SK methods with a single maneuver per revolution. Numerical simulations demonstrate that the proposed approach successfully maintains the spacecraft’s motion both in space and phase along the NRHO, with tighter tracking than state-of-the-art SK methods and comparable delta-V performance.