CEAS EuroGNC 2026
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Fuel-optimal Rendezvous in the CR3BP via MPC and Proximal Operators
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| Sergio Cuevas del Valle |
PhD candidate, Universidad Rey Juan Carlos, Móstoles, Spain. | | Hodei Urrutxua |
Full Professor, Universidad Rey Juan Carlos, Móstoles, Spain. | | Pablo Solano-López |
Assistant Professor, Universidad Rey Juan Carlos ., Móstoles, Spain. |
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| Abstract:
This work introduces a cost-efficient, closed-form trajectory optimization engine for time-fixed, fuel-optimal rendezvous in the Circular Restricted Three-Body Problem (CR3BP). In particular, Alternating Direction Method of Multipliers -as the numerical solver- and Primer Vector Theory -as the theoretical corpus- are fused together to construct general closed-form, iterative solvers for both constrained and unconstrained L1,p-fuel optimal linear rendezvous problems. To handle uncertainties and model discrepancies, these original solvers are embedded into a Model Predictive Control architecture, leading to an integral suboptimal guidance and control design for the full nonlinear plant dynamics. Moreover, the low footprint and lack of necessary advanced numerical machinery of the resulting design make it a solid candidate for real-time, embedded guidance applications. The integral architecture is applied and extensively validated in several real CR3BP rendezvous mission test cases against state-of-the-art solvers, where its performance is demonstrated.
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| Keywords: Optimal Rendezvous; CR3BP; Primer Vector Theory; Alternating Direction Method of Multipliers; Model Predictive Control |
 View PDF CEAS-GNC-2026-012 doi: 10.82124/CEAS-GNC-2026-012 |
| Sergio Cuevas del Valle, Hodei Urrutxua, Pablo Solano-López: Fuel-optimal Rendezvous in the CR3BP via MPC and Proximal Operators. Proceedings of the 2026 CEAS EuroGNC conference. Madrid, Spain. May 2026. doi: 10.82124/CEAS-GNC-2026-012.
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| BibTeX entry (UTF-8):
@Incollection{CEAS-GNC-2026-012,
author = {Cuevas del Valle, Sergio and Urrutxua, Hodei and Solano-López, Pablo},
title = {Fuel-optimal Rendezvous in the CR3BP via MPC and Proximal Operators},
booktitle = {Proceedings of the 2026 {CEAS EuroGNC} conference},
address = {Madrid, Spain},
month = may,
year = {2026},
doi = {10.82124/CEAS-GNC-2026-012}
}
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