Station-Keeping of L2 Halo Orbits Under Sampled-Data Model Predictive Control

No AccessEngineering NotesStation-Keeping of L2 Halo Orbits Under Sampled-Data Model Predictive ControlMohamed Elobaid, Mattia Mattioni, Salvatore Monaco and Dorothée Normand-CyrotMohamed Elobaid https://orcid.org/0000-0003-3446-288XSapienza University Rome, 00185 Italy*Ph.D. Student, Department Computer, Control Management Engineering L2S, via Ariosto 25; ; (Corresponding Author).Search for more papers by this author, Mattioni https://orcid.org/0000-0002-9407-7521Sapienza Italy†Researcher, Engineering, .Search https://orcid.org/0000-0002-2723-5737Sapienza Italy‡Full Professor, author Normand-Cyrot https://orcid.org/0000-0002-0642-1549CNRS, CentraleSupelec, Paris Saclay, 91192 Gif-sur-Yvette, France§Directeur de Recherche, Laboratory Signals Systems (L2S, UMR 8506), 3 Rue Joliot Curie; authorPublished Online:24 Mar 2022https://doi.org/10.2514/1.G006349SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Poincaré H., Les Méthodes Nouvelles De La Mécanique Céleste: MM. Newcomb, Glydén, Lindstedt et Bohlin, Vol. 2, Gauthier-Villars it fils, Paris, 1893, Chap. 1. Google Scholar[2] Barrow-Green J., the Three Body Problem, 11th ed., American Mathematical Soc., New York, 1997, Chaps. 3. https://doi.org/10.1006/hmat.1999.2236 Scholar[3] Farquhar R. W., The Use Libration-Point Satellites, 346, NASA, 1970, pp. 63–64. Scholar[4] Wu Tang Y., Zhang L. Qiao D., “Design Communication Relay Mission Supporting Lunar-Farside Soft Landing,” Science China Information Sciences, 61, No. 4, 2018, 1–14. https://doi.org/10.1007/s11432-017-9202-1 Scholar[5] Utilization in Advanced Lunar Operations, 6365, 1971, 29–30. Scholar[6] Woodard M., Folta D. Woodfork “ARTEMIS: First Libration Orbits,” 21st International Symposium on Space Flight Dynamics, ISSFD, Toulouse, France, 2009, 1–2. Scholar[7] Harvey B., Space, Great Leap Forward, 2nd Springer, 2019, 443–496, 9. Scholar[8] Bobskill M. Lupisella “The Role Cislunar Future Global Exploration,” AIAA Exploration Conference, AIAA, Reston, VA, 2012. Scholar[9] Gómez G., Llibre Martnez Simó C., Dynamics Design Near Points, World Scientific Singapore, 2001, 1, 5. https://doi.org/10.1142/4402 Scholar[10] Zimovan-Spreen E. Howell K. C. Davis “Near Rectilinear Nearby Higher-Period Dynamical Structures: Orbital Stability Resonance Properties,” Celestial Mechanics Astronomy, 132, 5, 2020, 1–25. https://doi.org/10.1007/s10569-020-09968-2 CrossrefGoogle Scholar[11] Shirobokov Trofimov S. Ovchinnikov “Survey Station-Keeping Techniques Point Journal Guidance, Control, 40, 2017, 1085–1105. https://doi.org/10.2514/1.G001850 LinkGoogle Scholar[12] Pernicka H. “Station-Keeping Method Trajectories,” 16, 1993, 151–159. https://doi.org/10.2514/3.11440 Scholar[13] Martinez Rodriguez “On Optimal Station Keeping Acta Astronautica, 15, Nos. 6–7, 1987, 391–397. https://doi.org/10.1016/0094-5765(87)90175-5 Scholar[14] Vaughn F., “A Survey Earth-Moon Orbits: Strategies Intra-Orbit Transfers,” AIAA/AAS Astrodynamics Specialist Conference Exhibit, Paper 2004-4741, 2004. https://doi.org/10.2514/6.2004-4741 Scholar[15] Breakwell J. V., Kamel A. Ratner a Translunar Station,” Mechanics, 10, 3, 1974, 357–373. https://doi.org/10.1007/BF01586864 Scholar[16] Pavlak T. A., Haapala “Earth–Moon Orbit Keeping: Theory, Modeling, Operations,” 94, 2014, 421–433. https://doi.org/10.1016/j.actaastro.2013.01.022 Scholar[17] Ulybyshev “Long-Term 38, 6, 2015, 1063–1070. https://doi.org/10.2514/1.G000242 Scholar[18] Rahmani Jalali M.-A. Pourtakdoust S., “Optimal Approach Control,” Navigation, 2003-5748, 2003. https://doi.org/10.2514/6.2003-5748 Scholar[19] Bando Ichikawa “Formation Flying Along Circular-Restricted Three-Body Problem,” 123–129. https://doi.org/10.2514/1.G000463 Scholar[20] Kalabic U., Weiss Di Cairano Kolmanovsky I., Momentum-Management Around L2: Linear-Quadratic Feedback Approaches,” Proceedings AAS Meeting, Inst. Electrical Electronics Engineers, 15–307. Scholar[21] Misra Peng Bai X., “Halo Using Nonlinear MPC Polynomial Optimization,” 2018 2018-1454, 2018. https://doi.org/10.2514/6.2018-1454 Scholar[22] Li Means Projecting Manifolds,” 163, Oct. 38–44. https://doi.org/10.1016/j.actaastro.2018.12.002 Scholar[23] Giamberardino P. Spacecraft Stabilization,” 12, 1996, 903–925. https://doi.org/10.1016/S0094-5765(96)00082-3 Scholar[24] Qi Y. Ruiter Strategy Real Continuous Thrust,” Aerospace Technology, Nov. 105376. https://doi.org/10.1016/j.ast.2019.105376 Scholar[25] Celsi R., Bonghi “Sampled-Data Stabilization Point,” 3rd IAA Satellite Missions CubeSat Workshop LEAN Standardization, 2015. Scholar[26] Unconstrained Through Multirate Sampling,” IFAC-Papers Online, 52, 388–393. https://doi.org/10.1016/j.ifacol.2019.11.811 Scholar[27] Grüne Pannek “Nonlinear Communications Series, Cham, Switzerland, 45–69. https://doi.org/10.1007/978-3-319-46024-6_3 Scholar[28] Richardson L., “Analytic Construction Periodic Collinear Points,” 22, 1980, 241–253. https://doi.org/10.1007/BF01229511 Scholar[29] Doedel Romanov V. Paffenroth Keller Dichmann Galán-Vioque Vanderbauwhede “Elemental Associated with Points Circular Restricted 3-Body Bifurcation Chaos, 17, 8, 2007, 2625–2677. https://doi.org/10.1142/S0218127407018671 Scholar[30] Carletta Pontani Teofilatto P., “Dynamics Three-Dimensional Capture from Region Analysis,” 165, Dec. 331–343. https://doi.org/10.1016/j.actaastro.2019.09.019 Scholar[31] Gurfil Meltzer “Semi-Analytical Calculating Elliptic Problem Monodromy Matrix,” 30, 266–271. https://doi.org/10.2514/1.22871 Scholar[32] Francis B. Wonham W. Internal Principle Theory,” Automatica, 1976, 457–465. https://doi.org/10.1016/0005-1098(76)90006-6 Scholar[33] Linear Multivariable Regulator SIAM Optimization, 1977, 486–505. https://doi.org/10.1137/0315033 Scholar[34] Isidori Byrnes “Output Regulation Systems,” IEEE Transactions Automatic 35, 1990, 131–140. https://doi.org/10.1109/9.45168 Scholar[35] “An Introduction Motion Planning Digital 31st Decision 1992, 1780–1785. https://doi.org/10.1109/CDC.1992.371122 Scholar[36] Mayne Q., Rawlings Rao Scokaert O., “Constrained Control: Optimality,” 36, 2000, 789–814. https://doi.org/10.1016/S0005-1098(99)00214-9 Scholar[37] Stornelli Linearizing Sampled Data Schemes,” 25th 1986, 2056–2060. Scholar[38] Raff T., Ebenbauer Findeisen Allgöwer Sum Squares Techniques,” Fast Motions Biomechanics Robotics, Berlin, 2006, 325–344. https://doi.org/10.1007/978-3-540-36119-0_15 Scholar[39] Putinar “Positive Polynomials Compact Semi-Algebraic Sets,” Indiana Mathematics Journal, 42, 969–984. https://doi.org/10.1512/iumj.1993.42.42045 Scholar[40] Gilbert G. Tan “Linear State Constraints: Theory Application Maximal Output Admissible 9, 1991, 1008–1020. https://doi.org/10.1109/9.83532 Scholar[41] Tracking Multi-Rate Planning,” IFAC-PapersOnLine, 53, 3620–3625. https://doi.org/10.1016/j.ifacol.2020.12.2043 Scholar[42] Prajna Papachristodoulou Parrilo “Introducing SOSTOOLS: A General Purpose Programming Solver,” 41st 2002, 741–746. https://doi.org/10.1109/CDC.2002.1184594 Scholar[43] Diehl Bock Schlöder Nagy Z. “Real-Time Optimization Processes Governed Differential-Algebraic Equations,” Process 577–585. https://doi.org/10.1016/S0959-1524(01)00023-3 Scholar[44] Houska Ferreau “ACADO Toolkit—An Open-Source Framework Dynamic Applications Methods, 32, 2011, 298–312. https://doi.org/10.1002/oca.939 Scholar Previous article Next FiguresReferencesRelatedDetails What's Popular Volume 45, Number 7July 2022 CrossmarkInformationCopyright © Institute Aeronautics Astronautics, Inc. All rights reserved. requests copying permission reprint should be submitted CCC at www.copyright.com; employ eISSN 1533-3884 initiate your request. See also Rights Permissions www.aiaa.org/randp. TopicsAerospace SciencesAstrodynamicsAstronauticsAtmospheric RadiationAtmospheric ScienceControl SystemsControl TheoryFeedback ControlGuidance, SystemsNonlinear TheoryOptimal TheorySpace KeywordsModel ControlHalo OrbitEarthFeedback LinearizationLagrangian PointSatellitesNonlinear ProgrammingMATLABControl System DesignQuadratic ProgrammingAcknowledgmentsMohamed wishes thank Université Franco-Italienne/Università Italo-Francese (Vinci Grant Chapter II) supporting his mobility between France Italy during Ph.D. authors wish anonymous reviewers their comments suggestions, which notably helped them improving work.PDF Received19 July 2021Accepted16 February 2022Published online24 March