Bilevel alternating direction iteration trajectory optimization for hypersonic morphing vehicles
A bilevel iterative mixed-integer optimal control problem (MIOCP) algorithm based on the alternating direction method and sequential convex optimization is developed to solve the trajectory optimization problem of hypersonic morphing vehicles with discrete morphing modes. The algorithm introduces co...
Gespeichert in:
| Veröffentlicht in: | Aerospace science and technology Jg. 166; S. 110542 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier Masson SAS
01.11.2025
|
| Schlagworte: | |
| ISSN: | 1270-9638 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | A bilevel iterative mixed-integer optimal control problem (MIOCP) algorithm based on the alternating direction method and sequential convex optimization is developed to solve the trajectory optimization problem of hypersonic morphing vehicles with discrete morphing modes. The algorithm introduces continuous relaxation variables to approximate the discrete control variables in MIOCP, decoupling them from the optimization objectives and dynamics of the original problem. It can be proven that the derived auxiliary problem provides a partial optimality to the initial problem. In the outer loop of the algorithm, discrete and continuous controls are alternately updated, avoiding the coupled solving of large-scale discrete and continuous variables. In the inner loop, the sequential convex optimization method utilizes linearization and discretization techniques to construct and solve a series of subproblems, addressing the continuous optimal control problem with fixed discrete variables. Simulations demonstrate the effectiveness and robustness of the algorithm, as well as its advantage in runtime performance.
•A bilevel alternating iterative trajectory planning algorithm is proposed for hypersonic morphing vehicles.•The partial optimality of the proposed algorithm is theoretically established.•Numerical simulations are conducted to verify and discuss the effectiveness of the trajectory planning method. |
|---|---|
| AbstractList | A bilevel iterative mixed-integer optimal control problem (MIOCP) algorithm based on the alternating direction method and sequential convex optimization is developed to solve the trajectory optimization problem of hypersonic morphing vehicles with discrete morphing modes. The algorithm introduces continuous relaxation variables to approximate the discrete control variables in MIOCP, decoupling them from the optimization objectives and dynamics of the original problem. It can be proven that the derived auxiliary problem provides a partial optimality to the initial problem. In the outer loop of the algorithm, discrete and continuous controls are alternately updated, avoiding the coupled solving of large-scale discrete and continuous variables. In the inner loop, the sequential convex optimization method utilizes linearization and discretization techniques to construct and solve a series of subproblems, addressing the continuous optimal control problem with fixed discrete variables. Simulations demonstrate the effectiveness and robustness of the algorithm, as well as its advantage in runtime performance.
•A bilevel alternating iterative trajectory planning algorithm is proposed for hypersonic morphing vehicles.•The partial optimality of the proposed algorithm is theoretically established.•Numerical simulations are conducted to verify and discuss the effectiveness of the trajectory planning method. |
| ArticleNumber | 110542 |
| Author | Cheng, Lin Gong, Shengping Xu, Ziqi |
| Author_xml | – sequence: 1 givenname: Ziqi orcidid: 0009-0009-3419-6543 surname: Xu fullname: Xu, Ziqi email: asxzq000617@163.com organization: School of Astronautics, Beihang University, 102206, Beijing, China – sequence: 2 givenname: Lin surname: Cheng fullname: Cheng, Lin email: chenglin5580@buaa.edu.cn organization: School of Astronautics, Beihang University, 102206, Beijing, China – sequence: 3 givenname: Shengping orcidid: 0000-0002-1910-2918 surname: Gong fullname: Gong, Shengping email: gongsp@buaa.edu.cn organization: School of Astronautics, Beihang University, 102206, Beijing, China |
| BookMark | eNp9kM1KxDAUhbMYwZnRB3DXF2jNb6fFlQ7-wYAbXcc0vbEpnaQkoTA-vR3r2tW9HPgOh2-DVs47QOiG4IJgUt72hYqpoJiKghAsOF2hNaE7nNclqy7RJsYeY0xrTtfo88EOMMGQqSFBcCpZ95W1NoBO1rvMzqH6_VJQ_Rz6cMr8mOzRfi-58SHrTiOE6J3V2dGHsTt3TNBZPUC8QhdGDRGu_-4WfTw9vu9f8sPb8-v-_pBrKkjKFdGEcKYbUWKoGS85CMN2837NKmwEb0pTMV5j01AFBgw3rKm1EpS0vBXAtogsvTr4GAMYOQZ7VOEkCZZnLbKXsxZ51iIXLTNztzAwD5ssBBm1BadhESBbb_-hfwBEf3HI |
| Cites_doi | 10.2514/1.A35345 10.1109/ACCESS.2020.2967873 10.1016/j.ast.2024.109087 10.1016/j.actaastro.2023.03.031 10.1007/s42064-022-0149-x 10.1109/TITS.2022.3155628 10.1080/0305215X.2018.1508573 10.1109/TAES.2024.3440281 10.1016/j.automatica.2020.109325 10.2514/1.G007564 10.1016/j.arcontrol.2024.100957 10.2514/1.G008162 10.1016/j.ast.2019.03.002 10.1109/TNNLS.2023.3250269 10.3390/aerospace11010074 10.1109/TAES.2023.3319590 10.1109/TRO.2015.2459373 10.1016/j.cja.2020.04.032 10.1109/TRO.2020.3036619 10.1016/j.ast.2025.110049 10.1016/j.icarus.2025.116537 10.1109/TAES.2022.3223333 10.1016/j.cja.2020.11.009 10.1002/oca.778 10.2514/1.A34728 10.1007/s10107-016-1023-5 10.1109/TRO.2021.3076454 10.1109/TAES.2022.3221031 10.2514/1.G006295 10.1007/s42064-023-0164-6 10.1109/TCST.2021.3070482 10.1007/s10107-010-0405-3 10.1016/j.ast.2022.107898 10.1137/18M1182917 10.1007/s10107-021-01656-9 10.1016/j.cja.2023.12.035 10.1016/j.ast.2024.109464 10.1007/s42064-022-0153-1 |
| ContentType | Journal Article |
| Copyright | 2025 |
| Copyright_xml | – notice: 2025 |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.ast.2025.110542 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| ExternalDocumentID | 10_1016_j_ast_2025_110542 S1270963825006133 |
| GroupedDBID | --K --M .~1 0R~ 1B1 1~. 1~5 23M 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ AAEDT AAEDW AAIKJ AAKOC AALRI AAOAW AAQFI AATTM AAXKI AAXUO AAYWO ABJNI ABMAC ABXDB ACDAQ ACGFS ACLOT ACNNM ACRLP ACVFH ADBBV ADCNI ADEZE ADTZH AEBSH AECPX AEIPS AEKER AENEX AEUPX AFJKZ AFPUW AFTJW AGHFR AGUBO AGYEJ AHJVU AHPGS AI. AIEXJ AIGII AIIUN AIKHN AITUG AKBMS AKRWK AKYEP ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU APXCP ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 EBS EFJIC EFKBS EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA HVGLF HZ~ IHE J1W JJJVA KOM M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- ROL RPZ SDF SDG SDP SES SEW SPC SPCBC SST SSZ T5K T9H VH1 XPP ZMT ~G- ~HD 9DU AAYXX CITATION |
| ID | FETCH-LOGICAL-c251t-a1c1143cb560e93464e5f37110c380f54b6f83490fb2aefef4f3b9ca521d4d5e3 |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001525731000002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1270-9638 |
| IngestDate | Sat Nov 29 07:05:51 EST 2025 Sat Nov 22 16:53:02 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Alternating direction iteration Sequential convex programming Mixed-integer optimal control Trajectory optimization |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c251t-a1c1143cb560e93464e5f37110c380f54b6f83490fb2aefef4f3b9ca521d4d5e3 |
| ORCID | 0000-0002-1910-2918 0009-0009-3419-6543 |
| ParticipantIDs | crossref_primary_10_1016_j_ast_2025_110542 elsevier_sciencedirect_doi_10_1016_j_ast_2025_110542 |
| PublicationCentury | 2000 |
| PublicationDate | November 2025 2025-11-00 |
| PublicationDateYYYYMMDD | 2025-11-01 |
| PublicationDate_xml | – month: 11 year: 2025 text: November 2025 |
| PublicationDecade | 2020 |
| PublicationTitle | Aerospace science and technology |
| PublicationYear | 2025 |
| Publisher | Elsevier Masson SAS |
| Publisher_xml | – name: Elsevier Masson SAS |
| References | Park, Karumanchi, Iagnemma (br0130) 2015; 31 Cunyu, Peng, Guojian (br0460) 2021; 34 Kirches, Lenders, Manns (br0190) 2020; 58 Ge, Li, Shi, Han (br0230) 2019; 51 He, Shi, Zhao (br0310) 2023; 7 Wang, Zhang (br0360) 2021; 58 Zhang, Zhang, Wei (br0040) 2021; 2021 Figueiredo Prudencio, Maximo, Colombini (br0070) 2024; 35 Cao, Zhang, Cheng, Su (br0150) 2022; 23 Sun, Kingry, Dai (br0400) 2020; 37 Xu, Zhu, Gong, Li (br0410) 2024 Zhang, Wu, Gong (br0240) 2024; 153 Peng, Feng, Yang, Zhang (br0030) 2018 Malyuta, Açıkmeşe (br0160) 2023; 46 Parancheerivilakkathil, Pilakkadan, Ajaj, Amoozgar, Asadi, Zweiri, Friswell (br0010) 2024; 37 Gerdts (br0210) 2006; 27 Wang (br0300) 2024; 57 Qu, Cheng, Gong, Huang (br0330) 2025; 48 Choi, Moon, Ahn (br0120) 2022; 59 Xiaoyu, Chunna, Chunlin, Liangxian, Da Ronch (br0060) 2021; 34 Ringkamp, Ober-Blöbaum, Leyendecker (br0220) 2017; 161 Li, Yu, Zeng, Li, Wen, Yan (br0420) 2025; 433 Pan, Ni, Ma, Lu (br0170) 2023; 46 Zhang, Zhang, Li (br0110) 2023; 207 Ottesen, Russell (br0260) 2024; 8 Maxwell, Phoenix (br0020) 2017 Zhang, Cui (br0290) 2023; 59 Li, Guo, Ran, Park (br0430) 2024 Xu, Li, Pei, Yu (br0080) 2022; 130 Rosema, Doyle, Auman, Underwood, Blake (br0470) 2011 Hua, Wang, Wang, Chen (br0050) 2022; 59 Lu, Sandoval, Davami (br0350) 2024; 47 Grant, Boyd (br0440) 2014 Zheng, Cheng, Gong, Huang (br0340) 2025; 160 Long, Jia (br0380) 2021; 30 Gurobi Optimization (br0450) 2021 Pei, Wan, Dai, Rea (br0390) 2022; 59 Göttlich, Hante, Potschka, Schewe (br0200) 2021; 188 Li, Song, Cheng, Gong (br0270) 2023; 7 Robuschi, Zeile, Sager, Braghin (br0140) 2021; 123 Zhang, Guo, Wang, Tang (br0100) 2024; 148 Wang (br0280) 2019; 87 Jiang, Zheng, Hou, Wu, Wang (br0090) 2024; 11 Sager, Bock, Diehl (br0180) 2012; 133 Zhao, Pan, Ran, Huang (br0250) 2024 Liu, Zhang, Xiong (br0320) 2020; 8 Sun, Tang, Hauser (br0370) 2021; 37 Göttlich (10.1016/j.ast.2025.110542_br0200) 2021; 188 Xiaoyu (10.1016/j.ast.2025.110542_br0060) 2021; 34 Zhang (10.1016/j.ast.2025.110542_br0110) 2023; 207 Pan (10.1016/j.ast.2025.110542_br0170) 2023; 46 He (10.1016/j.ast.2025.110542_br0310) 2023; 7 Kirches (10.1016/j.ast.2025.110542_br0190) 2020; 58 Pei (10.1016/j.ast.2025.110542_br0390) 2022; 59 Cunyu (10.1016/j.ast.2025.110542_br0460) 2021; 34 Malyuta (10.1016/j.ast.2025.110542_br0160) 2023; 46 Gerdts (10.1016/j.ast.2025.110542_br0210) 2006; 27 Wang (10.1016/j.ast.2025.110542_br0360) 2021; 58 Sager (10.1016/j.ast.2025.110542_br0180) 2012; 133 Choi (10.1016/j.ast.2025.110542_br0120) 2022; 59 Zhang (10.1016/j.ast.2025.110542_br0240) 2024; 153 Zhang (10.1016/j.ast.2025.110542_br0290) 2023; 59 Li (10.1016/j.ast.2025.110542_br0430) 2024 Wang (10.1016/j.ast.2025.110542_br0300) 2024; 57 Grant (10.1016/j.ast.2025.110542_br0440) 2014 Xu (10.1016/j.ast.2025.110542_br0080) 2022; 130 Li (10.1016/j.ast.2025.110542_br0270) 2023; 7 Ottesen (10.1016/j.ast.2025.110542_br0260) 2024; 8 Lu (10.1016/j.ast.2025.110542_br0350) 2024; 47 Parancheerivilakkathil (10.1016/j.ast.2025.110542_br0010) 2024; 37 Ringkamp (10.1016/j.ast.2025.110542_br0220) 2017; 161 Liu (10.1016/j.ast.2025.110542_br0320) 2020; 8 Xu (10.1016/j.ast.2025.110542_br0410) 2024 Jiang (10.1016/j.ast.2025.110542_br0090) 2024; 11 Long (10.1016/j.ast.2025.110542_br0380) 2021; 30 Robuschi (10.1016/j.ast.2025.110542_br0140) 2021; 123 Rosema (10.1016/j.ast.2025.110542_br0470) 2011 Ge (10.1016/j.ast.2025.110542_br0230) 2019; 51 Figueiredo Prudencio (10.1016/j.ast.2025.110542_br0070) 2024; 35 Zhang (10.1016/j.ast.2025.110542_br0040) 2021; 2021 Hua (10.1016/j.ast.2025.110542_br0050) 2022; 59 Sun (10.1016/j.ast.2025.110542_br0370) 2021; 37 Li (10.1016/j.ast.2025.110542_br0420) 2025; 433 Peng (10.1016/j.ast.2025.110542_br0030) 2018 Zhao (10.1016/j.ast.2025.110542_br0250) 2024 Wang (10.1016/j.ast.2025.110542_br0280) 2019; 87 Sun (10.1016/j.ast.2025.110542_br0400) 2020; 37 Park (10.1016/j.ast.2025.110542_br0130) 2015; 31 Maxwell (10.1016/j.ast.2025.110542_br0020) 2017 Zhang (10.1016/j.ast.2025.110542_br0100) 2024; 148 Gurobi Optimization (10.1016/j.ast.2025.110542_br0450) 2021 Cao (10.1016/j.ast.2025.110542_br0150) 2022; 23 Qu (10.1016/j.ast.2025.110542_br0330) 2025; 48 Zheng (10.1016/j.ast.2025.110542_br0340) 2025; 160 |
| References_xml | – volume: 8 start-page: 22834 year: 2020 end-page: 22853 ident: br0320 article-title: Multistage cooperative trajectory planning for multimissile formation via bi-level sequential convex programming publication-title: IEEE Access – volume: 207 start-page: 331 year: 2023 end-page: 339 ident: br0110 article-title: Mixed-integer trajectory optimization with no-fly zone constraints for a hypersonic vehicle publication-title: Acta Astronaut. – volume: 160 year: 2025 ident: br0340 article-title: Model incremental learning of flight dynamics enhanced by sample management publication-title: Aerosp. Sci. Technol. – volume: 34 start-page: 232 year: 2021 end-page: 243 ident: br0060 article-title: A study of morphing aircraft on morphing rules along trajectory publication-title: Chin. J. Aeronaut. – start-page: 65 year: 2018 end-page: 69 ident: br0030 article-title: Trajectory multiobjective optimization of hypersonic morphing aircraft based on variable sweep wing publication-title: 2018 3rd International Conference on Control and Robotics Engineering (ICCRE) – volume: 46 start-page: 1470 year: 2023 end-page: 1484 ident: br0170 article-title: Smoothing homotopy methods for solving nonlinear optimal control problems publication-title: J. Guid. Control Dyn. – volume: 23 start-page: 17666 year: 2022 end-page: 17676 ident: br0150 article-title: Trajectory optimization for high-speed trains via a mixed integer linear programming approach publication-title: IEEE Trans. Intell. Transp. Syst. – volume: 7 start-page: 18 year: 2023 ident: br0270 article-title: Closed-loop deep neural network optimal control algorithm and error analysis for powered landing under uncertainties publication-title: Astrodynamics – year: 2024 ident: br0430 article-title: Adaptive sequential convex programming for Mars ascent vehicle multi-phase trajectory optimization publication-title: IEEE Trans. Aerosp. Electron. Syst. – volume: 130 year: 2022 ident: br0080 article-title: Coordinated intelligent control of the flight control system and shape change of variable sweep morphing aircraft based on dueling-dqn publication-title: Aerosp. Sci. Technol. – volume: 8 start-page: 27 year: 2024 end-page: 46 ident: br0260 article-title: Direct-to-indirect mapping for optimal low-thrust trajectories publication-title: Astrodynamics – volume: 30 start-page: 835 year: 2021 end-page: 843 ident: br0380 article-title: Joint optimization for coordinated charging control of commercial electric vehicles under distributed hydrogen energy supply publication-title: IEEE Trans. Control Syst. Technol. – volume: 57 year: 2024 ident: br0300 article-title: A survey on convex optimization for guidance and control of vehicular systems publication-title: Annu. Rev. Control – volume: 34 start-page: 535 year: 2021 end-page: 553 ident: br0460 article-title: Integrated method of guidance, control and morphing for hypersonic morphing vehicle in glide phase publication-title: Chin. J. Aeronaut. – year: 2014 ident: br0440 article-title: Cvx: Matlab Software for Disciplined Convex Programming – volume: 37 start-page: 436 year: 2024 end-page: 463 ident: br0010 article-title: A review of control strategies used for morphing aircraft applications publication-title: Chin. J. Aeronaut. – volume: 58 start-page: 1371 year: 2020 end-page: 1402 ident: br0190 article-title: Approximation properties and tight bounds for constrained mixed-integer optimal control publication-title: SIAM J. Control Optim. – volume: 148 year: 2024 ident: br0100 article-title: Autonomous morphing strategy for a long-range aircraft using reinforcement learning publication-title: Aerosp. Sci. Technol. – volume: 123 year: 2021 ident: br0140 article-title: Multiphase mixed-integer nonlinear optimal control of hybrid electric vehicles publication-title: Automatica – year: 2021 ident: br0450 article-title: Gurobi Optimizer Reference Manual – volume: 31 start-page: 1101 year: 2015 end-page: 1115 ident: br0130 article-title: Homotopy-based divide-and-conquer strategy for optimal trajectory planning via mixed-integer programming publication-title: IEEE Trans. Robot. – volume: 161 start-page: 551 year: 2017 end-page: 581 ident: br0220 article-title: On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function publication-title: Math. Program. – volume: 153 year: 2024 ident: br0240 article-title: Trajectory optimization for aerodynamically controlled missiles by chance-constrained sequential convex programming publication-title: Aerosp. Sci. Technol. – volume: 58 start-page: 375 year: 2021 end-page: 385 ident: br0360 article-title: Bilevel trajectory optimization for hypersonic cruise vehicle using bilevel directed search domain publication-title: J. Spacecr. Rockets – volume: 433 year: 2025 ident: br0420 article-title: Disintegration and separation of the bilobate-shaped meteoric fragment during hypersonic atmospheric entry publication-title: Icarus – volume: 2021 year: 2021 ident: br0040 article-title: Onboard trajectory generation of hypersonic morphing aircraft publication-title: Int. J. Aerosp. Eng. – volume: 59 start-page: 9205 year: 2023 end-page: 9218 ident: br0290 article-title: Entry trajectory optimization with general polygonal no-fly zone constraints publication-title: IEEE Trans. Aerosp. Electron. Syst. – volume: 59 start-page: 3082 year: 2022 end-page: 3099 ident: br0120 article-title: Energy minimization of dynamic multi-uav communication network for cooperative multihop data gathering publication-title: IEEE Trans. Aerosp. Electron. Syst. – volume: 48 start-page: 496 year: 2025 end-page: 507 ident: br0330 article-title: Experience replay enhances excitation condition of neural-network adaptive control learning publication-title: J. Guid. Control Dyn. – volume: 87 start-page: 357 year: 2019 end-page: 368 ident: br0280 article-title: Optimal trajectories and normal load analysis of hypersonic glide vehicles via convex optimization publication-title: Aerosp. Sci. Technol. – start-page: 5357 year: 2017 ident: br0020 article-title: Morphable hypersonic waverider and trajectory optimized for atmospheric entry publication-title: AIAA SPACE and Astronautics Forum and Exposition – volume: 188 start-page: 599 year: 2021 end-page: 619 ident: br0200 article-title: Penalty alternating direction methods for mixed-integer optimal control with combinatorial constraints publication-title: Math. Program. – volume: 11 start-page: 74 year: 2024 ident: br0090 article-title: Autonomous shape decision making of morphing aircraft with improved reinforcement learning publication-title: Aerospace – start-page: 405 year: 2024 end-page: 416 ident: br0410 article-title: Time-coordination entry guidance for unpowered gliding morphing aircrafts using deep neural networks publication-title: International Conference on Guidance, Navigation and Control – volume: 47 start-page: 203 year: 2024 end-page: 216 ident: br0350 article-title: Fast and robust optimization of full trajectory from entry through powered descent publication-title: J. Guid. Control Dyn. – volume: 35 start-page: 10237 year: 2024 end-page: 10257 ident: br0070 article-title: A survey on offline reinforcement learning: taxonomy, review, and open problems publication-title: IEEE Trans. Neural Netw. Learn. Syst. – volume: 46 start-page: 1262 year: 2023 end-page: 1279 ident: br0160 article-title: Fast homotopy for spacecraft rendezvous trajectory optimization with discrete logic publication-title: J. Guid. Control Dyn. – volume: 27 start-page: 169 year: 2006 end-page: 182 ident: br0210 article-title: A variable time transformation method for mixed-integer optimal control problems publication-title: Optim. Control Appl. Methods – volume: 7 start-page: 197 year: 2023 end-page: 209 ident: br0310 article-title: Adaptive connected hierarchical optimization algorithm for minimum energy spacecraft attitude maneuver path planning publication-title: Astrodynamics – volume: 37 start-page: 831 year: 2020 end-page: 846 ident: br0400 article-title: A unified formulation and nonconvex optimization method for mixed-type decision-making of robotic systems publication-title: IEEE Trans. Robot. – volume: 59 start-page: 1934 year: 2022 end-page: 1945 ident: br0050 article-title: Integrated aerodynamic and trajectory studies of a long-range morphing missile publication-title: J. Spacecr. Rockets – volume: 133 start-page: 1 year: 2012 end-page: 23 ident: br0180 article-title: The integer approximation error in mixed-integer optimal control publication-title: Math. Program. – year: 2024 ident: br0250 article-title: Nurbs-based sequential convex programming for onboard trajectory optimization publication-title: IEEE Trans. Aerosp. Electron. Syst. – volume: 59 start-page: 3280 year: 2022 end-page: 3295 ident: br0390 article-title: A hybrid admm for six-degree-of-freedom entry trajectory optimization based on dual quaternions publication-title: IEEE Trans. Aerosp. Electron. Syst. – volume: 51 start-page: 1028 year: 2019 end-page: 1048 ident: br0230 article-title: An adaptive wavelet method for solving mixed-integer dynamic optimization problems with discontinuous controls and application to alkali–surfactant–polymer flooding publication-title: Eng. Optim. – volume: 37 start-page: 2010 year: 2021 end-page: 2024 ident: br0370 article-title: Fast uav trajectory optimization using bilevel optimization with analytical gradients publication-title: IEEE Trans. Robot. – year: 2011 ident: br0470 article-title: MISSILE DATCOM User's Manual-2011 Revision – start-page: 65 year: 2018 ident: 10.1016/j.ast.2025.110542_br0030 article-title: Trajectory multiobjective optimization of hypersonic morphing aircraft based on variable sweep wing – volume: 59 start-page: 1934 issue: 6 year: 2022 ident: 10.1016/j.ast.2025.110542_br0050 article-title: Integrated aerodynamic and trajectory studies of a long-range morphing missile publication-title: J. Spacecr. Rockets doi: 10.2514/1.A35345 – volume: 8 start-page: 22834 year: 2020 ident: 10.1016/j.ast.2025.110542_br0320 article-title: Multistage cooperative trajectory planning for multimissile formation via bi-level sequential convex programming publication-title: IEEE Access doi: 10.1109/ACCESS.2020.2967873 – year: 2011 ident: 10.1016/j.ast.2025.110542_br0470 – volume: 148 year: 2024 ident: 10.1016/j.ast.2025.110542_br0100 article-title: Autonomous morphing strategy for a long-range aircraft using reinforcement learning publication-title: Aerosp. Sci. Technol. doi: 10.1016/j.ast.2024.109087 – volume: 207 start-page: 331 year: 2023 ident: 10.1016/j.ast.2025.110542_br0110 article-title: Mixed-integer trajectory optimization with no-fly zone constraints for a hypersonic vehicle publication-title: Acta Astronaut. doi: 10.1016/j.actaastro.2023.03.031 – volume: 7 start-page: 197 issue: 2 year: 2023 ident: 10.1016/j.ast.2025.110542_br0310 article-title: Adaptive connected hierarchical optimization algorithm for minimum energy spacecraft attitude maneuver path planning publication-title: Astrodynamics doi: 10.1007/s42064-022-0149-x – start-page: 405 year: 2024 ident: 10.1016/j.ast.2025.110542_br0410 article-title: Time-coordination entry guidance for unpowered gliding morphing aircrafts using deep neural networks – volume: 23 start-page: 17666 issue: 10 year: 2022 ident: 10.1016/j.ast.2025.110542_br0150 article-title: Trajectory optimization for high-speed trains via a mixed integer linear programming approach publication-title: IEEE Trans. Intell. Transp. Syst. doi: 10.1109/TITS.2022.3155628 – volume: 51 start-page: 1028 issue: 6 year: 2019 ident: 10.1016/j.ast.2025.110542_br0230 article-title: An adaptive wavelet method for solving mixed-integer dynamic optimization problems with discontinuous controls and application to alkali–surfactant–polymer flooding publication-title: Eng. Optim. doi: 10.1080/0305215X.2018.1508573 – year: 2024 ident: 10.1016/j.ast.2025.110542_br0430 article-title: Adaptive sequential convex programming for Mars ascent vehicle multi-phase trajectory optimization publication-title: IEEE Trans. Aerosp. Electron. Syst. doi: 10.1109/TAES.2024.3440281 – volume: 123 year: 2021 ident: 10.1016/j.ast.2025.110542_br0140 article-title: Multiphase mixed-integer nonlinear optimal control of hybrid electric vehicles publication-title: Automatica doi: 10.1016/j.automatica.2020.109325 – volume: 47 start-page: 203 issue: 2 year: 2024 ident: 10.1016/j.ast.2025.110542_br0350 article-title: Fast and robust optimization of full trajectory from entry through powered descent publication-title: J. Guid. Control Dyn. doi: 10.2514/1.G007564 – volume: 57 year: 2024 ident: 10.1016/j.ast.2025.110542_br0300 article-title: A survey on convex optimization for guidance and control of vehicular systems publication-title: Annu. Rev. Control doi: 10.1016/j.arcontrol.2024.100957 – year: 2021 ident: 10.1016/j.ast.2025.110542_br0450 – volume: 48 start-page: 496 issue: 3 year: 2025 ident: 10.1016/j.ast.2025.110542_br0330 article-title: Experience replay enhances excitation condition of neural-network adaptive control learning publication-title: J. Guid. Control Dyn. doi: 10.2514/1.G008162 – volume: 87 start-page: 357 year: 2019 ident: 10.1016/j.ast.2025.110542_br0280 article-title: Optimal trajectories and normal load analysis of hypersonic glide vehicles via convex optimization publication-title: Aerosp. Sci. Technol. doi: 10.1016/j.ast.2019.03.002 – volume: 35 start-page: 10237 issue: 8 year: 2024 ident: 10.1016/j.ast.2025.110542_br0070 article-title: A survey on offline reinforcement learning: taxonomy, review, and open problems publication-title: IEEE Trans. Neural Netw. Learn. Syst. doi: 10.1109/TNNLS.2023.3250269 – volume: 11 start-page: 74 issue: 1 year: 2024 ident: 10.1016/j.ast.2025.110542_br0090 article-title: Autonomous shape decision making of morphing aircraft with improved reinforcement learning publication-title: Aerospace doi: 10.3390/aerospace11010074 – volume: 59 start-page: 9205 issue: 6 year: 2023 ident: 10.1016/j.ast.2025.110542_br0290 article-title: Entry trajectory optimization with general polygonal no-fly zone constraints publication-title: IEEE Trans. Aerosp. Electron. Syst. doi: 10.1109/TAES.2023.3319590 – volume: 31 start-page: 1101 issue: 5 year: 2015 ident: 10.1016/j.ast.2025.110542_br0130 article-title: Homotopy-based divide-and-conquer strategy for optimal trajectory planning via mixed-integer programming publication-title: IEEE Trans. Robot. doi: 10.1109/TRO.2015.2459373 – volume: 34 start-page: 232 issue: 7 year: 2021 ident: 10.1016/j.ast.2025.110542_br0060 article-title: A study of morphing aircraft on morphing rules along trajectory publication-title: Chin. J. Aeronaut. doi: 10.1016/j.cja.2020.04.032 – volume: 46 start-page: 1470 issue: 8 year: 2023 ident: 10.1016/j.ast.2025.110542_br0170 article-title: Smoothing homotopy methods for solving nonlinear optimal control problems publication-title: J. Guid. Control Dyn. – volume: 37 start-page: 831 issue: 3 year: 2020 ident: 10.1016/j.ast.2025.110542_br0400 article-title: A unified formulation and nonconvex optimization method for mixed-type decision-making of robotic systems publication-title: IEEE Trans. Robot. doi: 10.1109/TRO.2020.3036619 – volume: 160 year: 2025 ident: 10.1016/j.ast.2025.110542_br0340 article-title: Model incremental learning of flight dynamics enhanced by sample management publication-title: Aerosp. Sci. Technol. doi: 10.1016/j.ast.2025.110049 – volume: 433 year: 2025 ident: 10.1016/j.ast.2025.110542_br0420 article-title: Disintegration and separation of the bilobate-shaped meteoric fragment during hypersonic atmospheric entry publication-title: Icarus doi: 10.1016/j.icarus.2025.116537 – volume: 59 start-page: 3280 issue: 3 year: 2022 ident: 10.1016/j.ast.2025.110542_br0390 article-title: A hybrid admm for six-degree-of-freedom entry trajectory optimization based on dual quaternions publication-title: IEEE Trans. Aerosp. Electron. Syst. doi: 10.1109/TAES.2022.3223333 – volume: 34 start-page: 535 issue: 5 year: 2021 ident: 10.1016/j.ast.2025.110542_br0460 article-title: Integrated method of guidance, control and morphing for hypersonic morphing vehicle in glide phase publication-title: Chin. J. Aeronaut. doi: 10.1016/j.cja.2020.11.009 – volume: 27 start-page: 169 issue: 3 year: 2006 ident: 10.1016/j.ast.2025.110542_br0210 article-title: A variable time transformation method for mixed-integer optimal control problems publication-title: Optim. Control Appl. Methods doi: 10.1002/oca.778 – volume: 58 start-page: 375 issue: 2 year: 2021 ident: 10.1016/j.ast.2025.110542_br0360 article-title: Bilevel trajectory optimization for hypersonic cruise vehicle using bilevel directed search domain publication-title: J. Spacecr. Rockets doi: 10.2514/1.A34728 – volume: 161 start-page: 551 year: 2017 ident: 10.1016/j.ast.2025.110542_br0220 article-title: On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function publication-title: Math. Program. doi: 10.1007/s10107-016-1023-5 – volume: 37 start-page: 2010 issue: 6 year: 2021 ident: 10.1016/j.ast.2025.110542_br0370 article-title: Fast uav trajectory optimization using bilevel optimization with analytical gradients publication-title: IEEE Trans. Robot. doi: 10.1109/TRO.2021.3076454 – year: 2014 ident: 10.1016/j.ast.2025.110542_br0440 – volume: 59 start-page: 3082 issue: 3 year: 2022 ident: 10.1016/j.ast.2025.110542_br0120 article-title: Energy minimization of dynamic multi-uav communication network for cooperative multihop data gathering publication-title: IEEE Trans. Aerosp. Electron. Syst. doi: 10.1109/TAES.2022.3221031 – volume: 2021 issue: 1 year: 2021 ident: 10.1016/j.ast.2025.110542_br0040 article-title: Onboard trajectory generation of hypersonic morphing aircraft publication-title: Int. J. Aerosp. Eng. – volume: 46 start-page: 1262 issue: 7 year: 2023 ident: 10.1016/j.ast.2025.110542_br0160 article-title: Fast homotopy for spacecraft rendezvous trajectory optimization with discrete logic publication-title: J. Guid. Control Dyn. doi: 10.2514/1.G006295 – volume: 8 start-page: 27 issue: 1 year: 2024 ident: 10.1016/j.ast.2025.110542_br0260 article-title: Direct-to-indirect mapping for optimal low-thrust trajectories publication-title: Astrodynamics doi: 10.1007/s42064-023-0164-6 – volume: 30 start-page: 835 issue: 2 year: 2021 ident: 10.1016/j.ast.2025.110542_br0380 article-title: Joint optimization for coordinated charging control of commercial electric vehicles under distributed hydrogen energy supply publication-title: IEEE Trans. Control Syst. Technol. doi: 10.1109/TCST.2021.3070482 – volume: 133 start-page: 1 issue: 1 year: 2012 ident: 10.1016/j.ast.2025.110542_br0180 article-title: The integer approximation error in mixed-integer optimal control publication-title: Math. Program. doi: 10.1007/s10107-010-0405-3 – volume: 130 year: 2022 ident: 10.1016/j.ast.2025.110542_br0080 article-title: Coordinated intelligent control of the flight control system and shape change of variable sweep morphing aircraft based on dueling-dqn publication-title: Aerosp. Sci. Technol. doi: 10.1016/j.ast.2022.107898 – volume: 58 start-page: 1371 issue: 3 year: 2020 ident: 10.1016/j.ast.2025.110542_br0190 article-title: Approximation properties and tight bounds for constrained mixed-integer optimal control publication-title: SIAM J. Control Optim. doi: 10.1137/18M1182917 – start-page: 5357 year: 2017 ident: 10.1016/j.ast.2025.110542_br0020 article-title: Morphable hypersonic waverider and trajectory optimized for atmospheric entry – volume: 188 start-page: 599 issue: 2 year: 2021 ident: 10.1016/j.ast.2025.110542_br0200 article-title: Penalty alternating direction methods for mixed-integer optimal control with combinatorial constraints publication-title: Math. Program. doi: 10.1007/s10107-021-01656-9 – year: 2024 ident: 10.1016/j.ast.2025.110542_br0250 article-title: Nurbs-based sequential convex programming for onboard trajectory optimization publication-title: IEEE Trans. Aerosp. Electron. Syst. – volume: 37 start-page: 436 issue: 4 year: 2024 ident: 10.1016/j.ast.2025.110542_br0010 article-title: A review of control strategies used for morphing aircraft applications publication-title: Chin. J. Aeronaut. doi: 10.1016/j.cja.2023.12.035 – volume: 153 year: 2024 ident: 10.1016/j.ast.2025.110542_br0240 article-title: Trajectory optimization for aerodynamically controlled missiles by chance-constrained sequential convex programming publication-title: Aerosp. Sci. Technol. doi: 10.1016/j.ast.2024.109464 – volume: 7 start-page: 18 issue: 2 year: 2023 ident: 10.1016/j.ast.2025.110542_br0270 article-title: Closed-loop deep neural network optimal control algorithm and error analysis for powered landing under uncertainties publication-title: Astrodynamics doi: 10.1007/s42064-022-0153-1 |
| SSID | ssj0002942 |
| Score | 2.412763 |
| Snippet | A bilevel iterative mixed-integer optimal control problem (MIOCP) algorithm based on the alternating direction method and sequential convex optimization is... |
| SourceID | crossref elsevier |
| SourceType | Index Database Publisher |
| StartPage | 110542 |
| SubjectTerms | Alternating direction iteration Mixed-integer optimal control Sequential convex programming Trajectory optimization |
| Title | Bilevel alternating direction iteration trajectory optimization for hypersonic morphing vehicles |
| URI | https://dx.doi.org/10.1016/j.ast.2025.110542 |
| Volume | 166 |
| WOSCitedRecordID | wos001525731000002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: ScienceDirect issn: 1270-9638 databaseCode: AIEXJ dateStart: 19970101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: false ssIdentifier: ssj0002942 providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9swDBbWdoftMOzRYe0e0KGnBi4cPWLrmA7ZC1tRIB2Qmycr0uoAdbIkDdp_X-rluM0GbAN6MQw7VhJ-EvmRJimEDnLGVC4zkWRdmSes7I2TEsxOAs5Wl4w5SWVq3GYT2clJPhqJ09BQYeG2E8jqOr-6ErN7hRquAdi2dPYf4G4GhQtwDqDDEWCH418BfwzrfKVt4nGI9dU_O95wubRG10XZni3ncuJC9tedKeiNi1CQ6fIOz8E7tUy8Up2LKSBhx1jpc5dC16azfQ1GFrxu3YnlQS4hcyNcP7p0L0GqX9U6nUB7LfO1aqbnx5AePLT3ZtGmhpAE4aE2r4mTxVqZb8D_rdbrD1salmRpYlf9LRXsd17ZUOc-sjA5kgub9kq4LVrgvhvXnS7ZQzuuHRYonaUodAvtkIwLUHQ7_c-D0ZfGPBPhdlRqfkd81e2S_u580e_JSouAnD1FT4LngPse8Wfoga6fo8etfpIv0I-APW5hjxvscYM9XmOP29hjwB6vsccRexyx30XfPwzO3n9KwhYaiQLiukxkV4HDS1UJxFYLynpMc0Mz-HeK5qnhsDhNTplITUmkNtowQ0uhJJC6MRtzTV-i7Xpa61cIwx1Vih5RRpVMcg7-Tk8TYeDDNGdK7qHDKKti5julFDGFcFKAYAsr2MILdg-xKM0iTFAvjQKg__Nj-__32Gv0aD1N36Dt5fxSv0UP1WpZLebvwgS5AUIKfcU |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Bilevel+alternating+direction+iteration+trajectory+optimization+for+hypersonic+morphing+vehicles&rft.jtitle=Aerospace+science+and+technology&rft.au=Xu%2C+Ziqi&rft.au=Cheng%2C+Lin&rft.au=Gong%2C+Shengping&rft.date=2025-11-01&rft.pub=Elsevier+Masson+SAS&rft.issn=1270-9638&rft.volume=166&rft_id=info:doi/10.1016%2Fj.ast.2025.110542&rft.externalDocID=S1270963825006133 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1270-9638&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1270-9638&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1270-9638&client=summon |