摘要
No AccessEngineering NotesOptimal Midcourse Guidance for Dual-Pulse Rocket Using Pseudospectral Sequential Convex ProgrammingBoseok Kim and Chang-Hun LeeBoseok Kim https://orcid.org/0000-0001-8897-2418Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea and Chang-Hun Lee https://orcid.org/0000-0002-0758-1974Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of KoreaPublished Online:26 May 2023https://doi.org/10.2514/1.G006882SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations About References [1] Cheng V. H. L. and Gupta N. K., "Advanced Midcourse Guidance for Air-to-Air Missiles," Journal of Guidance, Control, and Dynamics, Vol. 9, No. 2, 1986, pp. 135–142. https://doi.org/10.2514/3.20081 LinkGoogle Scholar[2] Sridhar B. and Gupta N. K., "Missile Guidance Laws Based on Singular Perturbation Methodology," Journal of Guidance and Control, Vol. 3, No. 2, 1980, pp. 158–165. https://doi.org/10.2514/3.55964 LinkGoogle Scholar[3] Menon P. K. A. and Briggs M. M., "Near-Optimal Midcourse Guidance for Air-to-Air Missiles," Journal of Guidance, Control, and Dynamics, Vol. 13, No. 4, 1990, pp. 596–602. https://doi.org/10.2514/3.25375 LinkGoogle Scholar[4] Manickavasagam M., Sarkar A. K. and Vaithiyanathan V., "A Singular Perturbation Based Midcourse Guidance Law for Realistic Air-to-air Engagement," Defence Science Journal, Vol. 67, No. 1, 2017, pp. 108–118. https://doi.org/10.14429/dsj.1.9236 Google Scholar[5] Imado F., Kuroda T. and Miwa S., "Optimal Midcourse Guidance for Medium-Range Air-to-Air Missiles," Journal of Guidance, Control, and Dynamics, Vol. 13, No. 4, 1990, pp. 603–608. https://doi.org/10.2514/3.25376 LinkGoogle Scholar[6] Kumar R. R., Seywald H. and Cliff E. M., "Near-Optimal Three-Dimensional Air-to-Air Missile Guidance Against Maneuvering Target," Journal of Guidance, Control, and Dynamics, Vol. 18, No. 3, 1995, pp. 457–464. https://doi.org/10.2514/3.21409 LinkGoogle Scholar[7] Cheng V. H. L., Menon P. K. A., Gupta N. K. and Briggs M. M., "Reduced-Order Pulse-Motor Ignition Control Logic," Journal of Guidance, Control, and Dynamics, Vol. 10, No. 4, 1987, pp. 343–350. https://doi.org/10.2514/3.20224 LinkGoogle Scholar[8] Annam C., Ratnoo A. and Ghose D., "Singular-Perturbation-Based Guidance of Pulse Motor Interceptors with Look Angle Constraints," Journal of Guidance, Control, and Dynamics, Vol. 44, No. 7, 2021, pp. 1356–1370. https://doi.org/10.2514/1.G005508 LinkGoogle Scholar[9] Calise A. J. and Nagy J., "Necessary Conditions for Optimal Pulse Control," Journal of Guidance, Control, and Dynamics, Vol. 9, No. 1, 1986, pp. 53–57. https://doi.org/10.2514/3.20066 LinkGoogle Scholar[10] Calise A. J. and Prasad J. V. R., "Pulse Motor Control for Maximizing Average Velocity," Journal of Guidance, Control, and Dynamics, Vol. 12, No. 2, 1989, pp. 169–174. https://doi.org/10.2514/3.20387 LinkGoogle Scholar[11] Imado F., Kuroda T. and Miwa S., "Optimal Thrust Control of a Missile with a Pulse Motor," Journal of Guidance, Control, and Dynamics, Vol. 14, No. 2, 1991, pp. 377–382. https://doi.org/10.2514/3.20649 LinkGoogle Scholar[12] Lu P., "Introducing Computational Guidance and Control," Journal of Guidance, Control, and Dynamics, Vol. 40, No. 2, 2017, pp. 193–193. https://doi.org/10.2514/1.G002745 LinkGoogle Scholar[13] Liu X., Shen Z. and Lu P., "Entry Trajectory Optimization by Second-Order Cone Programming," Journal of Guidance, Control, and Dynamics, Vol. 39, No. 2, 2016, pp. 227–241. https://doi.org/10.2514/1.G001210 LinkGoogle Scholar[14] Wang Z. and Grant M. J., "Constrained Trajectory Optimization for Planetary Entry via Sequential Convex Programming," Journal of Guidance, Control, and Dynamics, Vol. 40, No. 10, 2017, pp. 2603–2615. https://doi.org/10.2514/1.G002150 LinkGoogle Scholar[15] Szmuk M., Eren U. and Acikmese B., "Successive Convexification for Mars 6-DoF Powered Descent Landing Guidance," AIAA Guidance, Navigation, and Control Conference, AIAA Paper 2017-1500, 2017. https://doi.org/10.2514/6.2017-1500 LinkGoogle Scholar[16] Liu X., Shen Z. and Lu P., "Exact Convex Relaxation for Optimal Flight of Aerodynamically Controlled Missiles," IEEE Transactions on Aerospace and Electronic Systems, Vol. 52, No. 4, 2016, pp. 1881–1892. https://doi.org/10.1109/TAES.2016.150741 CrossrefGoogle Scholar[17] Benedikter B., Zavoli A., Colasurdo G., Pizzurro S. and Cavallini E., "Convex Approach to Three-Dimensional Launch Vehicle Ascent Trajectory Optimization," Journal of Guidance, Control, and Dynamics, Vol. 44, No. 6, 2021, pp. 1116–1131. https://doi.org/10.2514/1.G005376 LinkGoogle Scholar[18] Liu X., "Fuel-Optimal Rocket Landing with Aerodynamic Controls," Journal of Guidance, Control, and Dynamics, Vol. 42, No. 1, 2019, pp. 65–77. https://doi.org/10.2514/1.G003537 LinkGoogle Scholar[19] Sagliano M., Heidecker A., Macés Hernández J., Farì S., Schlotterer M., Woicke S., Seelbinder D. and Dumont E., "Onboard Guidance for Reusable Rockets: Aerodynamic Descent and Powered Landing," AIAA Scitech 2021 Forum, AIAA Paper 2021-0862, 2021. https://doi.org/10.2514/6.2021-0862 LinkGoogle Scholar[20] Wang J., Zhang R. and Li H., "Onboard Optimization of Multi-Arc Trajectories with Constraints on Duration of Arcs," Acta Astronautica, Vol. 192, March 2022, pp. 434–442. https://doi.org/10.1016/j.actaastro.2021.12.023 CrossrefGoogle Scholar[21] Wang Z. and Lu Y., "Improved Sequential Convex Programming Algorithms for Entry Trajectory Optimization," Journal of Spacecraft and Rockets, Vol. 57, No. 6, 2020, pp. 1373–1386. https://doi.org/10.2514/1.A34640 LinkGoogle Scholar[22] Wang J. and Cui N., "A Pseudospectral-Convex Optimization Algorithm for Rocket Landing Guidance," 2018 AIAA Guidance, Navigation, and Control Conference, AIAA Paper 2018-1871, 2018. https://doi.org/10.2514/6.2018-1871 LinkGoogle Scholar[23] Liu X., Shen Z. and Lu P., "Solving the Maximum-Crossrange Problem via Successive Second-Order Cone Programming with a Line Search," Aerospace Science and Technology, Vol. 47, Dec. 2015, pp. 10–20. https://doi.org/10.1016/j.ast.2015.09.008 CrossrefGoogle Scholar[24] Sagliano M., "Pseudospectral Convex Optimization for Powered Descent and Landing," Journal of Guidance, Control, and Dynamics, Vol. 41, No. 2, 2018, pp. 320–334. https://doi.org/10.2514/1.G002818 LinkGoogle Scholar[25] Sagliano M. and Mooij E., "Optimal Drag-Energy Entry Guidance via Pseudospectral Convex Optimization," Aerospace Science and Technology, Vol. 117, Oct. 2021, Paper 106946. https://doi.org/10.1016/j.ast.2021.106946 CrossrefGoogle Scholar[26] Sagliano M., "Generalized hp Pseudospectral-Convex Programming for Powered Descent and Landing," Journal of Guidance, Control, and Dynamics, Vol. 42, No. 7, 2019, pp. 1562–1570. https://doi.org/10.2514/1.G003731 LinkGoogle Scholar[27] Lei X., Hongbo Z., Xiang Z. and Guojian T., "Hp-Adaptive Pseudospectral Convex Optimization for Rocket Powered Landing Trajectory Planning," 2019 Chinese Automation Congress (CAC), IEEE, New York, 2019, pp. 895–900. https://doi.org/10.1109/cac48633.2019.8996784 Google Scholar[28] Zhou X., He R.-Z., Zhang H.-B., Tang G.-J. and Bao W.-M., "Sequential Convex Programming Method Using Adaptive Mesh Refinement for Entry Trajectory Planning Problem," Aerospace Science and Technology, Vol. 109, Feb. 2021, Paper 106374. https://doi.org/10.1016/j.ast.2020.106374 Google Scholar[29] Pei P. and Wang J., "Near-Optimal Guidance with Impact Angle and Velocity Constraints Using Sequential Convex Programming," Mathematical Problems in Engineering, Vol. 2019, Oct. 2019, pp. 1–14. https://doi.org/10.1155/2019/2065730 CrossrefGoogle Scholar[30] Garg D., Patterson M., Hager W. W., Rao A. V., Benson D. A. and Huntington G. T., "A Unified Framework for the Numerical Solution of Optimal Control Problems Using Pseudospectral Methods," Automatica, Vol. 46, No. 11, 2010, pp. 1843–1851. https://doi.org/10.1016/j.automatica.2010.06.048 CrossrefGoogle Scholar[31] Kim B., Lee C.-H., Tahk M.-J. and He S., "A New Biased Proportional Navigation Guidance for Decelerating Targets," Advances in Guidance, Navigation and Control, Springer, Singapore, 2022, pp. 2489–2500. https://doi.org/10.1007/978-981-15-8155-7_209 Google Scholar[32] Nocedal J. and Yuan Y.-X., "Combining Trust Region and Line Search Techniques," Advances in Nonlinear Programming, Springer, Boston, MA, 1998, pp. 153–175. https://doi.org/10.1007/978-1-4613-3335-7_7 Google Scholar[33] "MOSEK Optimization Toolbox for MATLAB," User's Guide and Reference Manual, Ver. 4, MOSEK ApS, 2019. Google Scholar[34] Patterson M. A. and Rao A. V., "GPOPS-II: A MATLAB Software for Solving Multiple-Phase Optimal Control Problems Using hp-Adaptive Gaussian Quadrature Collocation Methods and Sparse Nonlinear Programming," ACM Transactions on Mathematical Software (TOMS), Vol. 41, No. 1, 2014, pp. 1–37. https://doi.org/10.1145/2558904 CrossrefGoogle Scholar[35] Dueri D., Açıkmeşe B., Scharf D. P. and Harris M. W., "Customized Real-Time Interior-Point Methods for Onboard Powered-Descent Guidance," Journal of Guidance, Control, and Dynamics, Vol. 40, No. 2, 2017, pp. 197–212. https://doi.org/10.2514/1.G001480 LinkGoogle Scholar Previous article Next article FiguresReferencesRelatedDetails What's Popular Articles in Advance CrossmarkInformationCopyright © 2023 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-3884 to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. KeywordsOptimal Midcourse GuidanceDual-pulse RocketConvex ProgrammingComputational GuidanceLong Range Air-to-Air MissileAcknowledgmentsThis work was supported by Theater Defense Research Center funded by Defense Acquisition Program Administration under Grant UD200043CD.PDF Received7 April 2022Accepted16 April 2023Published online26 May 2023