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Suboptimal Nonlinear Model Predictive Control Strategies for Tracking Near Rectilinear Halo Orbits

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Document pages: 19 pages

Abstract: Near Rectilinear Halo Orbits (NRHOs), a subclass of halo orbits around the L1and L2 Lagrange points, are promising candidates for future lunar gateways incis-lunar space and as staging orbits for lunar missions. Closed-loop controlis beneficial to compensate orbital perturbations and potential instabilitieswhile maintaining spacecraft on NRHOs and performing relative motion maneuvers.This paper investigates the use of nonlinear model predictive control (NMPC)coupled with low-thrust actuators for station-keeping on NRHOs. It isdemonstrated through numerical simulations that NMPC is able to stabilize aspacecraft to a reference orbit and handle control constraints. Further, it isshown that the computational burden of NMPC can be managed using specializedoptimization routines and suboptimal approaches without jeopardizingclosed-loop performance.

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