Rapid Low-Thrust Trajectory Optimization in Deep Space Based on Convex Programming
چکیده
No AccessEngineering NotesRapid Low-Thrust Trajectory Optimization in Deep Space Based on Convex ProgrammingChristian Hofmann and Francesco TopputoChristian HofmannPolytechnic University of Milan, 20156 Italy*Ph.D. Candidate, Department Aerospace Science Technology, Via La Masa 34; .Search for more papers by this author Topputo https://orcid.org/0000-0002-5369-6887Polytechnic Italy†Associate Professor, . Senior Member AIAA.Search authorPublished Online:30 Apr 2021https://doi.org/10.2514/1.G005839SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Pontani M. Conway B. A., “Particle Swarm Applied Trajectories,” Journal Guidance, Control, Dynamics, Vol. 33, No. 5, 2010, pp. 1429–1441. https://doi.org/10.2514/1.48475 LinkGoogle Scholar[2] Zhang C., F., Bernelli-Zazzera F. Zhao Y. S., “Low Thrust Minimum Fuel the Circular Restricted Three Body Model,” Advances Astronautical Sciences, 153, 8, 2015, 1597–1615. https://doi.org/10.2514/1.G001080 Google Scholar[3] Haberkorn T., Martinon P. Gergaud J., Minimum-Fuel Orbital Transfer: A Homotopic Approach,” 27, 6, 2004, 1046–1060. https://doi.org/10.2514/1.4022 Scholar[4] Taheri E., Kolmanovsky I. Atkins “Enhanced Smoothing Technique Indirect 39, 11, 2016. https://doi.org/10.2514/1.G000379 Scholar[5] Petropoulos A. “Simple Control Laws Orbit Transfers,” AAS/AIAA Astrodynamics Specialist Conference, AAS Paper 03-630, San Diego, CA, Aug. 2003. Scholar[6] Izzo D. Öztürk “Real-Time Guidance Transfers Using Neural Networks,” 44, 2, 2021, 315–327. https://doi.org/10.2514/1.G005254 Scholar[7] Betts J. “Survey Numerical Methods Optimization,” 21, 1998, 193–207. https://doi.org/10.2514/2.4231 Scholar[8] “A Survey Available Continuous Dynamic Systems,” Theory Applications, 152, 2012, 271–306. https://doi.org/10.1007/s10957-011-9918-z CrossrefGoogle Scholar[9] Darby L. Hager W. Rao V., “An hp-Adaptive Pseudospectral Method Solving Optimal Problems,” Applications Methods, 32, 4, 2011, 476–502. https://doi.org/10.1002/oca.957 Scholar[10] Liu X. Lu P., “Solving Nonconvex Problems 37, 3, 2014, 750–765. https://doi.org/10.2514/1.62110 Scholar[11] Domahidi Chu E. Boyd “ECOS: An SOCP Solver Embedded European IEEE, New York, July 2013, 3071–3076. https://doi.org/10.23919/ECC.2013.6669541 Scholar[12] Mao Y., Szmuk M., Xu Açıkmeşe B., “Successive Convexification: Superlinearly Convergent Algorithm Non-Convex Feb. 2019, https://arxiv.org/abs/1804.06539. Scholar[13] Pascucci C. Quad-Rotor Path Planning Mobile Obstacle Avoidance (IROS),” 2018 IEEE/RSJ International Conference Intelligent Robots Systems, Oct. 2018. https://doi.org/10.1109/IROS.2018.8594351 Scholar[14] Lin C.-Y. Tomizuka “The Feasible Set Real-Time Motion Planning,” SIAM Optimization, 56, 2018, 2712–2733. https://doi.org/10.1137/16M1091460 Scholar[15] Sagliano “Pseudospectral Powered Descent Landing,” 41, 320–334. https://doi.org/10.2514/1.G002818 Scholar[16] Yang H., Bai Baoyin “Rapid Generation Time-Optimal Trajectories Asteroid Landing via 40, 2017, 628–641. https://doi.org/10.2514/1.G002170 Scholar[17] Wang Z. Grant “Constrained Planetary Entry Sequential Programming,” 10, 2603–2615. https://doi.org/10.2514/1.G002150 Scholar[18] Shen Z., “Entry Second-Order Cone 2016, 227–241. https://doi.org/10.2514/1.G001210 Scholar[19] “Generalized hp Pseudospectral-Convex Programming 42, 7, 1562–1570. https://doi.org/10.2514/1.G003731 Scholar[20] “CVX: Matlab Software Disciplined March http://cvxr.com/cvx. Scholar[21] Reynolds Malyuta D., Mesbahi Carson Guidance,” AIAA Scitech 2020 Forum, 2020-0844, 2020. https://doi.org/10.2514/6.2020-0844 Scholar[22] “Optimization Minimum-Time Spacecraft Rockets, 55, 586–598. https://doi.org/10.2514/1.A33995 Scholar[23] “Minimum-Fuel Spacecraft: IEEE Transactions Electronic 54, 2274–2290. https://doi.org/10.1109/TAES.2018.2812558 Scholar[24] Agamawi “Mesh Refinement Bang-Bang Direct Collocation,” 2020-0378, Jan. https://doi.org/10.2514/6.2020-0378 Scholar[25] X., “Exact Relaxation Flight Aerodynamically Controlled Missiles,” 52, 1881–1892. https://doi.org/10.1109/TAES.2016.150741 Scholar[26] Pan Applications,” Astrodynamics, 1, 23–40. https://doi.org/10.1007/s42064-017-0003-8 Scholar[27] Theil Bergsma D’Onofrio Whittle Viavattene G., “On Radau Method: Theoretical Implementation Advances,” CEAS Journal, 9, 313–331. https://doi.org/10.1007/s12567-017-0165-5 Scholar[28] Patterson “GPOPS-II: MATLAB Multiple-Phase Hp-Adaptive Gaussian Quadrature Collocation Sparse Nonlinear Mathematical (TOMS), 1–37. https://doi.org/10.1145/2558904 Scholar[29] V. “SPARTAN: Novel Entry, Descent, Analysis,” Navigation Springer Publishing, Cham, Switzerland, 669–688. https://doi.org/10.1007/978-3-319-65283-2_36 Scholar[30] Fahroo Ross “Advances Control,” Exhibit, 2008-7309, 2008. https://doi.org/10.2514/6.2008-7309 Scholar[31] Abramowitz Stegun Handbook Functions, United States Commerce, 1972, 877–897. Scholar[32] Berrut J.-P. Trefethen N., “Barycentric Lagrange Interpolation,” Review, 46, 501–517. https://doi.org/10.1137/S0036144502417715 Scholar[33] Garg Global Ph.D. Thesis, Univ. Florida, Belle Glade, FL, 2011. Scholar[34] “Low-Thrust Three-Body Problem,” 38, 1501–1510. Scholar[35] Bryson Ho Y.-C., Control: Estimation, Blaisdell Publishing Company, Waltham, MA, 1969, 90–127. Scholar[36] ph Mesh 36, 398–421. https://doi.org/10.1002/oca.2114 Scholar[37] Gill Murray Saunders “SNOPT: SQP Large-Scale Constrained 47, 2005, 99–131. https://doi.org/10.1137/S0036144504446096 Scholar[38] “Toward On-Board Mechanics Meeting, 21-350, 2021. Scholar[39] Abdelkhalik O., “Initial Three-Dimensional Design,” Research, 57, 889–903. https://doi.org/10.1016/j.asr.2015.11.034 Scholar[40] Jiang H. Li “Practical Techniques with 35, 245–258. https://doi.org/10.2514/1.52476 Scholar[41] Eide “Lavrentiev Phenomenon AIAA/AAS 2016-5575, https://doi.org/10.2514/6.2016-5575 Scholar Previous article Next FiguresReferencesRelatedDetailsCited byTarget-Based Multiple FlybysCarmine Giordano , Gabor Varga, Ruaraidh Mackenzie, Arnaud Boutonnet 25 January 2023 | 0, 0A Koopman-Operator Relative SpaceSimone Servadio, Roberto Armellin Richard Linares19 2023Six-Degree-of-Freedom Rocket Augmented Convex-Concave DecompositionMarco Sagliano, Ping Lu, David Seelbinder Stephan Theil19 2023Direct-Indirect Hybrid Strategy LandingFabio Spada, Marco Topputo19 2023Performance Assessment MethodsChristian Andrea Morelli 27 October 2022 60, 1Analytical Costate Estimation a Reference Trajectory-Based Least-Squares MethodDi Wu, Cheng Fanghua Junfeng Li31 45, 8Robust ApproachIEEE 58, 3Penetration trajectory optimization hypersonic gliding vehicle encountering two interceptorsAerospace 121On Performance Discretization Trust-Region OptimizationChristian Hofmann, Topputo29 December 2021Real-Time Shallow Network18 What's Popular Volume Number 7July 2021 CrossmarkInformationCopyright © American 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. TopicsAerodynamicsAeronautical EngineeringAeronauticsAlgorithms Data StructuresArtificial IntelligenceComputational Fluid DynamicsComputing, Information, CommunicationData ScienceEvolutionary AlgorithmFluid DynamicsMachine LearningNumerical AnalysisOptimization AlgorithmPseudospectral KeywordsThrustTrajectory OptimizationEarthNumerical OptimizationPseudospectral MethodsNonlinear DynamicsSmall SatellitesSparse OptimizerNumerical SimulationAsteroidsPDF Received4 2020Accepted22 February 2021Published online30 April