Real-Time Trajectory Planning for Hypersonic Entry Using Adaptive Non-Uniform Discretization and Convex Optimization
This paper introduces an improved sequential convex programming algorithm using adaptive non-uniform discretization for the hypersonic entry problem. In order to ensure real-time performance, an inverse-free precise discretization based on first-order hold discretization is adopted to obtain a high-...
Saved in:
| Published in: | Mathematics (Basel) Vol. 11; no. 12; p. 2754 |
|---|---|
| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Basel
MDPI AG
01-06-2023
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This paper introduces an improved sequential convex programming algorithm using adaptive non-uniform discretization for the hypersonic entry problem. In order to ensure real-time performance, an inverse-free precise discretization based on first-order hold discretization is adopted to obtain a high-accuracy solution with fewer temporal nodes, which would lead to constraint violation between the temporal nodes due to the sparse time grid. To deal with this limitation, an adaptive non-uniform discretization is developed, which provides a search direction for purposeful clustering of discrete points by adding penalty terms in the problem construction process. Numerical results show that the proposed method has fast convergence with high accuracy while all the path constraints are satisfied over the time horizon, thus giving potential to real-time trajectory planning. |
|---|---|
| AbstractList | This paper introduces an improved sequential convex programming algorithm using adaptive non-uniform discretization for the hypersonic entry problem. In order to ensure real-time performance, an inverse-free precise discretization based on first-order hold discretization is adopted to obtain a high-accuracy solution with fewer temporal nodes, which would lead to constraint violation between the temporal nodes due to the sparse time grid. To deal with this limitation, an adaptive non-uniform discretization is developed, which provides a search direction for purposeful clustering of discrete points by adding penalty terms in the problem construction process. Numerical results show that the proposed method has fast convergence with high accuracy while all the path constraints are satisfied over the time horizon, thus giving potential to real-time trajectory planning. |
| Audience | Academic |
| Author | Ma, Jiarui Zhang, Qiliang Wang, Jinbo Chen, Hongbo |
| Author_xml | – sequence: 1 givenname: Jiarui surname: Ma fullname: Ma, Jiarui – sequence: 2 givenname: Hongbo surname: Chen fullname: Chen, Hongbo – sequence: 3 givenname: Jinbo surname: Wang fullname: Wang, Jinbo – sequence: 4 givenname: Qiliang orcidid: 0000-0003-0010-6879 surname: Zhang fullname: Zhang, Qiliang |
| BookMark | eNpNUV1rGzEQPEIKSdO89QcI-tpL9Xl3ejRumgRCU4r9fOxJK1fGJ7mSEur8-ip1KNl92GVmdliY981piAGb5iOjV0Jo-mWG8osxxnmv5ElzzuvS9pU4fbOfNZc5b2ktzcQg9XlTfiLs2pWfkawSbNGUmA7kxw5C8GFDXEzk9rDHlGPwhlyHUtl1fqEWFvbFPyH5HkO7Dr5KZ_LVZ5Ow-GcoPgYCwZJlDE_4hzxU8fyKf2jeOdhlvHydF8362_VqedveP9zcLRf3rZG0Ky0AY51WHJnmHerJGCemgQvlZOcmxqVzoIxEOmmG3SQccAuGTWaQjjHFxEVzd_S1EbbjPvkZ0mGM4Md_QEybEVLxZocjms4ilVZaISWdpsEqg9hRKbHXSvXV69PRa5_i70fMZdzGxxTq-yMfuB6k6Puuqq6Oqg1UUx9cLAlMbYuzNzUw5yu-6NUgtBIDrQefjwcmxZwTuv9vMjq-5Dq-zVX8BSoAmPU |
| CitedBy_id | crossref_primary_10_1016_j_ast_2024_109349 |
| Cites_doi | 10.1016/j.automatica.2010.06.048 10.2514/2.5021 10.2514/6.2023-0300 10.1177/0954410019840839 10.2514/2.4862 10.1007/s10589-007-9098-9 10.1017/CBO9780511804441 10.2514/6.2016-0378 10.1137/1.9781611971453 10.2514/1.G001210 10.2514/2.4231 10.1016/j.automatica.2022.110359 10.2514/1.G002150 10.2514/2.4008 10.2514/4.867347 10.2514/1.27553 10.2514/1.A34640 10.2514/1.A33566 10.2514/1.62605 10.2514/1.37030 10.1007/s42064-017-0003-8 10.2514/6.2023-2003 10.2514/1.A32949 10.2514/1.58436 10.23919/ECC.2013.6669541 10.2514/1.G001553 |
| ContentType | Journal Article |
| Copyright | COPYRIGHT 2023 MDPI AG 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: COPYRIGHT 2023 MDPI AG – notice: 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | AAYXX CITATION 3V. 7SC 7TB 7XB 8AL 8FD 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO FR3 GNUQQ HCIFZ JQ2 K7- KR7 L6V L7M L~C L~D M0N M7S P62 PIMPY PQEST PQQKQ PQUKI PTHSS Q9U DOA |
| DOI | 10.3390/math11122754 |
| DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ProQuest Central (purchase pre-March 2016) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Aerospace Database (1962 - current) ProQuest Central Essentials ProQuest Databases Technology Collection ProQuest One Community College ProQuest Central Engineering Research Database ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Civil Engineering Abstracts ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Computing Database ProQuest Engineering Database ProQuest Advanced Technologies & Aerospace Collection Publicly Available Content Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition Engineering Collection ProQuest Central Basic Directory of Open Access Journals |
| DatabaseTitle | CrossRef Publicly Available Content Database Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central ProQuest Engineering Collection ProQuest Central Korea Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts ProQuest Computing Engineering Database ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest Central (Alumni) |
| DatabaseTitleList | CrossRef Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: DOA name: Directory of Open Access Journals url: http://www.doaj.org/ sourceTypes: Open Website |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 2227-7390 |
| ExternalDocumentID | oai_doaj_org_article_ec6de04d4d3440bb8d5cee6044e79557 A758395380 10_3390_math11122754 |
| GeographicLocations | United Kingdom |
| GeographicLocations_xml | – name: United Kingdom |
| GroupedDBID | -~X 3V. 5VS 85S 8FE 8FG AADQD AAFWJ AAYXX ABDBF ABJCF ABJNI ABPPZ ABUWG ACIPV ACIWK ADBBV AFKRA AFZYC ALMA_UNASSIGNED_HOLDINGS ARAPS AZQEC BCNDV BENPR BGLVJ BPHCQ CCPQU CITATION DWQXO GNUQQ GROUPED_DOAJ HCIFZ IAO ITC K6V K7- KQ8 L6V M0N M7S MODMG M~E OK1 PIMPY PQQKQ PROAC PTHSS RNS 7SC 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L7M L~C L~D P62 PQEST PQUKI Q9U |
| ID | FETCH-LOGICAL-c406t-aa116952e1926e9bccf3b8235f46fb124ffa5c4e0b91e6b3fa2dac1bc84f11513 |
| IEDL.DBID | DOA |
| ISSN | 2227-7390 |
| IngestDate | Tue Oct 22 15:13:23 EDT 2024 Thu Oct 10 16:30:43 EDT 2024 Wed Nov 13 00:10:14 EST 2024 Thu Nov 21 23:19:17 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 12 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c406t-aa116952e1926e9bccf3b8235f46fb124ffa5c4e0b91e6b3fa2dac1bc84f11513 |
| ORCID | 0000-0003-0010-6879 |
| OpenAccessLink | https://doaj.org/article/ec6de04d4d3440bb8d5cee6044e79557 |
| PQID | 2829843776 |
| PQPubID | 2032364 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_ec6de04d4d3440bb8d5cee6044e79557 proquest_journals_2829843776 gale_infotracacademiconefile_A758395380 crossref_primary_10_3390_math11122754 |
| PublicationCentury | 2000 |
| PublicationDate | 2023-06-01 |
| PublicationDateYYYYMMDD | 2023-06-01 |
| PublicationDate_xml | – month: 06 year: 2023 text: 2023-06-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel |
| PublicationTitle | Mathematics (Basel) |
| PublicationYear | 2023 |
| Publisher | MDPI AG |
| Publisher_xml | – name: MDPI AG |
| References | Yu (ref_35) 2022; 142 Grant (ref_5) 2015; 52 Jorris (ref_4) 2009; 32 ref_34 ref_33 ref_10 ref_32 ref_31 Wang (ref_28) 2019; 233 ref_30 Shen (ref_2) 2003; 26 Pan (ref_8) 2016; 39 Acikmese (ref_14) 2007; 30 Liu (ref_17) 2017; 1 ref_19 ref_18 Betts (ref_6) 1998; 21 ref_16 ApS (ref_20) 2019; 4 Garg (ref_13) 2010; 46 Kameswaran (ref_12) 2008; 41 Wang (ref_26) 2017; 40 ref_24 ref_23 ref_22 Lu (ref_15) 2013; 36 ref_21 Lu (ref_1) 1997; 20 Lu (ref_3) 2014; 37 Wang (ref_27) 2020; 57 Liu (ref_25) 2016; 39 ref_29 Fahroo (ref_11) 2002; 25 Zheng (ref_9) 2017; 54 ref_7 |
| References_xml | – ident: ref_7 – volume: 46 start-page: 1843 year: 2010 ident: ref_13 article-title: A unified framework for the numerical solution of optimal control problems using pseudospectral methods publication-title: Automatica doi: 10.1016/j.automatica.2010.06.048 contributor: fullname: Garg – volume: 26 start-page: 111 year: 2003 ident: ref_2 article-title: Onboard generation of three-dimensional constrained entry trajectories publication-title: J. Guid. Control Dyn. doi: 10.2514/2.5021 contributor: fullname: Shen – ident: ref_30 – ident: ref_31 doi: 10.2514/6.2023-0300 – volume: 233 start-page: 5227 year: 2019 ident: ref_28 article-title: Rapid trajectory optimization for hypersonic entry using a pseudospectral-convex algorithm publication-title: Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng. doi: 10.1177/0954410019840839 contributor: fullname: Wang – ident: ref_32 – ident: ref_24 – ident: ref_34 – volume: 25 start-page: 160 year: 2002 ident: ref_11 article-title: Direct trajectory optimization by a Chebyshev pseudospectral method publication-title: J. Guid. Control Dyn. doi: 10.2514/2.4862 contributor: fullname: Fahroo – volume: 41 start-page: 81 year: 2008 ident: ref_12 article-title: Convergence rates for direct transcription of optimal control problems using collocation at Radau points publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-007-9098-9 contributor: fullname: Kameswaran – ident: ref_16 doi: 10.1017/CBO9780511804441 – ident: ref_23 doi: 10.2514/6.2016-0378 – ident: ref_18 doi: 10.1137/1.9781611971453 – volume: 39 start-page: 227 year: 2016 ident: ref_25 article-title: Entry trajectory optimization by second-order cone programming publication-title: J. Guid. Control Dyn. doi: 10.2514/1.G001210 contributor: fullname: Liu – volume: 21 start-page: 193 year: 1998 ident: ref_6 article-title: Survey of numerical methods for trajectory optimization publication-title: J. Guid. Control Dyn. doi: 10.2514/2.4231 contributor: fullname: Betts – volume: 142 start-page: 110359 year: 2022 ident: ref_35 article-title: Proportional–integral projected gradient method for conic optimization publication-title: Automatica doi: 10.1016/j.automatica.2022.110359 contributor: fullname: Yu – volume: 40 start-page: 2603 year: 2017 ident: ref_26 article-title: Constrained trajectory optimization for planetary entry via sequential convex programming publication-title: J. Guid. Control Dyn. doi: 10.2514/1.G002150 contributor: fullname: Wang – volume: 20 start-page: 143 year: 1997 ident: ref_1 article-title: Entry guidance and trajectory control for reusable launch vehicle publication-title: J. Guid. Control Dyn. doi: 10.2514/2.4008 contributor: fullname: Lu – ident: ref_10 doi: 10.2514/4.867347 – volume: 30 start-page: 1353 year: 2007 ident: ref_14 article-title: Convex programming approach to powered descent guidance for mars landing publication-title: J. Guid. Control Dyn. doi: 10.2514/1.27553 contributor: fullname: Acikmese – volume: 4 start-page: 1 year: 2019 ident: ref_20 article-title: Mosek optimization toolbox for matlab publication-title: User’s Guide Ref. Manual Version contributor: fullname: ApS – ident: ref_33 – volume: 57 start-page: 1373 year: 2020 ident: ref_27 article-title: Improved sequential convex programming algorithms for entry trajectory optimization publication-title: J. Spacecr. Rocket. doi: 10.2514/1.A34640 contributor: fullname: Wang – volume: 54 start-page: 1068 year: 2017 ident: ref_9 article-title: Indirect trajectory optimization for mars entry with maximum terminal altitude publication-title: J. Spacecr. Rocket. doi: 10.2514/1.A33566 contributor: fullname: Zheng – volume: 37 start-page: 713 year: 2014 ident: ref_3 article-title: Entry guidance: A unified method publication-title: J. Guid. Control Dyn. doi: 10.2514/1.62605 contributor: fullname: Lu – volume: 32 start-page: 551 year: 2009 ident: ref_4 article-title: Three-dimensional trajectory optimization satisfying waypoint and no-fly zone constraints publication-title: J. Guid. Control Dyn. doi: 10.2514/1.37030 contributor: fullname: Jorris – volume: 1 start-page: 23 year: 2017 ident: ref_17 article-title: Survey of convex optimization for aerospace applications publication-title: Astrodynamics doi: 10.1007/s42064-017-0003-8 contributor: fullname: Liu – ident: ref_29 doi: 10.2514/6.2023-2003 – ident: ref_19 – ident: ref_22 – volume: 52 start-page: 177 year: 2015 ident: ref_5 article-title: Rapid indirect trajectory optimization for conceptual design of hypersonic missions publication-title: J. Spacecr. Rocket. doi: 10.2514/1.A32949 contributor: fullname: Grant – volume: 36 start-page: 375 year: 2013 ident: ref_15 article-title: Autonomous trajectory planning for rendezvous and proximity operations by conic optimization publication-title: J. Guid. Control Dyn. doi: 10.2514/1.58436 contributor: fullname: Lu – ident: ref_21 doi: 10.23919/ECC.2013.6669541 – volume: 39 start-page: 1706 year: 2016 ident: ref_8 article-title: Double-homotopy method for solving optimal control problems publication-title: J. Guid. Control Dyn. doi: 10.2514/1.G001553 contributor: fullname: Pan |
| SSID | ssj0000913849 |
| Score | 2.2875812 |
| Snippet | This paper introduces an improved sequential convex programming algorithm using adaptive non-uniform discretization for the hypersonic entry problem. In order... |
| SourceID | doaj proquest gale crossref |
| SourceType | Open Website Aggregation Database |
| StartPage | 2754 |
| SubjectTerms | Accuracy Adaptive algorithms adaptive non-uniform discretization Algorithms Clustering Computational geometry Convex analysis Convexity Discretization feasibility guarantee Guarantees hypersonic entry Mathematical programming Mathematics Methods Nodes Optimization Real time real-time trajectory planning sequential convex programming Trajectory planning Variables |
| Title | Real-Time Trajectory Planning for Hypersonic Entry Using Adaptive Non-Uniform Discretization and Convex Optimization |
| URI | https://www.proquest.com/docview/2829843776 https://doaj.org/article/ec6de04d4d3440bb8d5cee6044e79557 |
| Volume | 11 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8QwEA7qSQ_iE9cXOSiegk2Tps1x1ZW9qOADvIU8UcEqbgX998603UUP4sVrCSXMNPN908x8Q8gBjxXgnA_MShmZ9DZnLijNVBLJORxp3V60j2_Ky_vqbIQyObNRX1gT1skDd4Y7jl6FmMkgg5Ayc64KBcR1lcGrS10UXR95pr4lU20M1lxUUneV7gLy-mPgfw9wrvO8LOQPDGql-n8LyC3KnK-Q5Z4e0mG3rVUyF-s1snQx01adrJPmGrgdw9YNCkDz1P51_6TT4UMUSCgdQ3KJRPrR0xEODqFtYQAdBvuK0Y1evtQMyCbyVXr2CIEjNn07JrV1oKdYif5Br2Dxc_98g9ydj25Px6yfncA8QHTDrOVc6SKPwOBU1M77JFyViyJJlRyAekq28DJmTvOonEg2D9Zz5yuZgCRysUkW6pc6bhGarA4iWi4DUA8RgwUKx5W1UfsUAAMH5HBqTfPaSWQYSC3Q6ua71QfkBE09W4PC1u0DcLfp3W3-cveAHKGjDB6_5s1623cRwFZRyMoMIf8RGqJ4NiC7U1-a_lxODN4bV1KUpdr-j93skEUcP9-Vju2ShebtPe6R-Ul432-_xy_WmOg_ |
| link.rule.ids | 315,782,786,866,2106,27933,27934 |
| linkProvider | Directory of Open Access Journals |
| 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=Real-Time+Trajectory+Planning+for+Hypersonic+Entry+Using+Adaptive+Non-Uniform+Discretization+and+Convex+Optimization&rft.jtitle=Mathematics+%28Basel%29&rft.au=Ma%2C+Jiarui&rft.au=Chen%2C+Hongbo&rft.au=Wang%2C+Jinbo&rft.au=Zhang%2C+Qiliang&rft.date=2023-06-01&rft.pub=MDPI+AG&rft.eissn=2227-7390&rft.volume=11&rft.issue=12&rft.spage=2754&rft_id=info:doi/10.3390%2Fmath11122754&rft.externalDBID=HAS_PDF_LINK |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2227-7390&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2227-7390&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2227-7390&client=summon |