Station-Keeping of L2 Halo Orbits Under Sampled-Data Model Predictive Control
Mohamed Elobaid, Mattia Mattioni, S. Monaco, D. Normand‐Cyrot
Abstract
The paper deals with the design of an improved model predictive control\nscheme for achieving station-keeping in a quasi Halo orbit around the $L_2$\npoint in the Earth-Moon system. The improvement is obtained thanks to a\nmulti-rate sampled-data trajectory planner that allows for simplifying the\noptimization problem of the model predictive controller while guaranteeing\nfeasibility and convergence to the desired orbit. The multi-rate planner is\ndesigned based on a simplified model of the dynamics under a preliminary\nnonlinear regulation feedback. The proposed control scheme is shown to\noutperform recent station-keeping nonlinear model predictive control designs\nboth in terms of tracking error and energy expenditures in different\nsituations. Finally, a brief study of aspects pertaining to computational time\nare carried out so highlighting the possibility for real time implementation on\nmodern hardware.\n