Impulsive Relative Motion Control with Continuous-Time Constraint Satisfaction for Cislunar Space Missions

Fuente: arXiv
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Autori principali: Spada, Fabio, Elango, Purnanand, Açıkmeşe, Behçet
Natura: Preprint
Pubblicazione: 2025
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author Spada, Fabio
Elango, Purnanand
Açıkmeşe, Behçet
author_facet Spada, Fabio
Elango, Purnanand
Açıkmeşe, Behçet
contents Recent investments in cislunar applications open new frontiers for space missions within highly nonlinear dynamical regimes. In this paper, we propose a method based on Sequential Convex Programming (SCP) to loiter around a given target with impulsive actuation while satisfying path constraints continuously over the finite time-horizon, i.e., independently of the number of nodes in which domain is discretized. Location, timing, magnitude, and direction of a fixed number of impulses are optimized in a model predictive framework, exploiting the exact nonlinear dynamics of non-stationary orbital regimes. The proposed approach is first validated on a relative orbiting problem with respect to a selenocentric near rectilinear halo orbit. The approach is then compared to a formulation with path constraints imposed only at nodes and with mesh refined to ensure complete satisfaction of path constraints over the continuous-time horizon. CPU time per iteration of 400 ms for the refined-mesh approach reduce to 5.5 ms for the proposed approach.
format Preprint
id arxiv_https___arxiv_org_abs_2502_00215
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Impulsive Relative Motion Control with Continuous-Time Constraint Satisfaction for Cislunar Space Missions
Spada, Fabio
Elango, Purnanand
Açıkmeşe, Behçet
Systems and Control
Recent investments in cislunar applications open new frontiers for space missions within highly nonlinear dynamical regimes. In this paper, we propose a method based on Sequential Convex Programming (SCP) to loiter around a given target with impulsive actuation while satisfying path constraints continuously over the finite time-horizon, i.e., independently of the number of nodes in which domain is discretized. Location, timing, magnitude, and direction of a fixed number of impulses are optimized in a model predictive framework, exploiting the exact nonlinear dynamics of non-stationary orbital regimes. The proposed approach is first validated on a relative orbiting problem with respect to a selenocentric near rectilinear halo orbit. The approach is then compared to a formulation with path constraints imposed only at nodes and with mesh refined to ensure complete satisfaction of path constraints over the continuous-time horizon. CPU time per iteration of 400 ms for the refined-mesh approach reduce to 5.5 ms for the proposed approach.
title Impulsive Relative Motion Control with Continuous-Time Constraint Satisfaction for Cislunar Space Missions
topic Systems and Control
url https://arxiv.org/abs/2502.00215