Real-Time Lateral Predictor-Corrector Entry Guidance With Terminal Heading Angle Constraint

Predictor-corrector guidance (PCG) methods for entry flight are valued for their flexibility and adaptability. This study focuses on the lateral control of PCG with an added terminal heading angle constraint. Specifically, we propose a real-time lateral PCG algorithm that first achieves the online c...

Full description

Saved in:

Bibliographic Details
Published in:	IEEE transactions on aerospace and electronic systems Vol. 61; no. 2; pp. 2106 - 2119
Main Authors:	Shi, Peng, Xu, Jingjing, Cheng, Lin, Dong, Changhong, Huang, Xu
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.04.2025 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Aerodynamics Aerospace and electronic systems Algorithms Artificial neural networks Constraints Controllability Cooperative guidance entry guidance Flight heading coordination Heuristic algorithms Lateral control lateral guidance logic Prediction algorithms Predictor-corrector methods predictor–corrector guidance (PCG) Real time Real-time systems Sliding mode control terminal heading angle constraint Tracking errors Trajectories Trajectory Vehicle dynamics
ISSN:	0018-9251, 1557-9603
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	Predictor-corrector guidance (PCG) methods for entry flight are valued for their flexibility and adaptability. This study focuses on the lateral control of PCG with an added terminal heading angle constraint. Specifically, we propose a real-time lateral PCG algorithm that first achieves the online controllability of terminal heading angle approaching the target site. Our contributions include: 1) deriving an analytical expression for lateral trajectory prediction using a reasonably simplified entry flight model; 2) introducing a wide-range heading adjustment strategy based on the derived expression. This strategy enables online determination of the bank angle direction and reversal time, allowing for adjustment of the lateral trajectory to approach and follow the desired heading baseline; and 3) developing a discrete sliding mode guidance method to correct lateral tracking errors for subsequent lateral control, balancing reversal frequency and tracking accuracy. Combining this lateral guidance with our previously proposed deep neural networks-based longitudinal guidance method, we establish a real-time 3-D entry guidance algorithm. Simulations and Monte Carlo experiments confirm the algorithm's real-time performance, robustness, and terminal heading angle controllability.
AbstractList	Predictor–corrector guidance (PCG) methods for entry flight are valued for their flexibility and adaptability. This study focuses on the lateral control of PCG with an added terminal heading angle constraint. Specifically, we propose a real-time lateral PCG algorithm that first achieves the online controllability of terminal heading angle approaching the target site. Our contributions include: 1) deriving an analytical expression for lateral trajectory prediction using a reasonably simplified entry flight model; 2) introducing a wide-range heading adjustment strategy based on the derived expression. This strategy enables online determination of the bank angle direction and reversal time, allowing for adjustment of the lateral trajectory to approach and follow the desired heading baseline; and 3) developing a discrete sliding mode guidance method to correct lateral tracking errors for subsequent lateral control, balancing reversal frequency and tracking accuracy. Combining this lateral guidance with our previously proposed deep neural networks-based longitudinal guidance method, we establish a real-time 3-D entry guidance algorithm. Simulations and Monte Carlo experiments confirm the algorithm's real-time performance, robustness, and terminal heading angle controllability.
Author	Shi, Peng Xu, Jingjing Dong, Changhong Huang, Xu Cheng, Lin
Author_xml	– sequence: 1 givenname: Peng orcidid: 0000-0002-6982-7343 surname: Shi fullname: Shi, Peng organization: School of Astronautics, Beihang University, Beijing, China – sequence: 2 givenname: Jingjing orcidid: 0000-0002-0683-4714 surname: Xu fullname: Xu, Jingjing organization: School of Astronautics, Beihang University, Beijing, China – sequence: 3 givenname: Lin orcidid: 0000-0001-8090-2562 surname: Cheng fullname: Cheng, Lin email: chengin5580@buaa.edu.cn organization: School of Astronautics, Beihang University, Beijing, China – sequence: 4 givenname: Changhong surname: Dong fullname: Dong, Changhong organization: School of Astronautics, Beihang University, Beijing, China – sequence: 5 givenname: Xu orcidid: 0000-0002-5777-9313 surname: Huang fullname: Huang, Xu organization: School of Astronautics, Beihang University, Beijing, China
BookMark	eNpNkE9Lw0AQxRepYFv9AIKHgOfU_Z_NsYTaCgVFIx48LNvdSd2SbuomPfTbm9AenMvMMO89ht8EjUITAKF7gmeE4PypnC8-ZhRTPmNcSkLFFRoTIbI0l5iN0BhjotKcCnKDJm2761euOBuj73cwdVr6PSRr00E0dfIWwXnbNTEtmhhhmJJF6OIpWR69M8FC8uW7n6SEuPehN6zAOB-2yTxsa0iKJrRdND50t-i6MnULd5c-RZ_Pi7JYpevX5UsxX6eWctml1th843JWcbKRNpfOOcIzTLGygkggikiOXVWprBJUWsuwrPqDE9IYx5hkU_R4zj3E5vcIbad3zTH2n7WaEdUXVxnuVeSssrFp2wiVPkS_N_GkCdYDQz0w1ANDfWHYex7OHg8A__RS5TQT7A8yKW8E
CODEN	IEARAX
Cites_doi	10.1007/s42064-022-0153-1 10.1016/j.ast.2019.01.015 10.1016/j.ast.2017.12.009 10.1109/TAES.2020.3015321 10.1109/TAES.2024.3378196 10.1016/j.ast.2018.01.033 10.2514/1.G007662 10.1016/j.ast.2018.10.013 10.2514/1.62605 10.1016/j.ast.2020.105876 10.1109/TAES.2022.3215554 10.1016/j.ast.2016.10.025 10.1016/j.actaastro.2019.07.039 10.1016/j.ast.2018.10.035 10.1109/TAES.2019.2921213 10.2514/1.G007858 10.2514/2.5021 10.1109/ICMAE.2019.8880965 10.1016/j.asr.2015.02.002 10.1016/j.cja.2019.12.003 10.3390/math11010185
ContentType	Journal Article
Copyright	Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2025
Copyright_xml	– notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2025
DBID	97E RIA RIE AAYXX CITATION 7SP 7TB 8FD FR3 H8D L7M
DOI	10.1109/TAES.2024.3466125
DatabaseName	IEEE Xplore (IEEE) IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef Electronics & Communications Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database Aerospace Database Advanced Technologies Database with Aerospace
DatabaseTitle	CrossRef Aerospace Database Engineering Research Database Technology Research Database Mechanical & Transportation Engineering Abstracts Advanced Technologies Database with Aerospace Electronics & Communications Abstracts
DatabaseTitleList	Aerospace Database
Database_xml	– sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	1557-9603
EndPage	2119
ExternalDocumentID	10_1109_TAES_2024_3466125 10689275
Genre	orig-research
GrantInformation_xml	– fundername: National Laboratory of Space Intelligent Control grantid: 2023-JCJQ-LB-006-13 – fundername: National Natural Science Foundation of China grantid: U23B6002 funderid: 10.13039/501100001809
GroupedDBID	-~X 0R~ 29I 4.4 41~ 5GY 5VS 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACGFO ACIWK ACNCT AENEX AETIX AGQYO AGSQL AHBIQ AI. AIBXA AKJIK AKQYR ALLEH ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 EBS EJD F5P H~9 IAAWW IBMZZ ICLAB IFIPE IFJZH IPLJI JAVBF LAI M43 OCL P2P RIA RIE RNS TN5 VH1 AAYXX CITATION 7SP 7TB 8FD FR3 H8D L7M
ID	FETCH-LOGICAL-c246t-cac9bd93f41b6c96ddd1470208c516e181640dff87f526cc306f516d56aad3363
IEDL.DBID	RIE
ISICitedReferencesCount	2
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001464975000003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0018-9251
IngestDate	Mon Jun 30 10:22:55 EDT 2025 Sat Nov 29 08:02:16 EST 2025 Wed Aug 27 02:03:48 EDT 2025
IsPeerReviewed	true
IsScholarly	true
Issue	2
Language	English
License	https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html https://doi.org/10.15223/policy-029 https://doi.org/10.15223/policy-037
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c246t-cac9bd93f41b6c96ddd1470208c516e181640dff87f526cc306f516d56aad3363
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0001-8090-2562 0000-0002-6982-7343 0000-0002-0683-4714 0000-0002-5777-9313
PQID	3188884870
PQPubID	85477
PageCount	14
ParticipantIDs	ieee_primary_10689275 proquest_journals_3188884870 crossref_primary_10_1109_TAES_2024_3466125
PublicationCentury	2000
PublicationDate	2025-04-01
PublicationDateYYYYMMDD	2025-04-01
PublicationDate_xml	– month: 04 year: 2025 text: 2025-04-01 day: 01
PublicationDecade	2020
PublicationPlace	New York
PublicationPlace_xml	– name: New York
PublicationTitle	IEEE transactions on aerospace and electronic systems
PublicationTitleAbbrev	T-AES
PublicationYear	2025
Publisher	IEEE The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml	– name: IEEE – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References	ref12 ref15 Lafleur (ref2) 2013 Jianglong (ref22) 2020; 33 ref11 ref10 ref1 ref17 ref16 ref19 ref18 Xu (ref14) 2011 Wanqing (ref20) 2021; 42 Harpold (ref7) 1979; 27 Smith (ref13) 2016 ref24 ref26 ref25 ref21 ref27 ref8 Vinh (ref23) 1980 ref9 ref4 ref3 ref6 ref5 Phillips (ref28) 2003
References_xml	– ident: ref5 doi: 10.1007/s42064-022-0153-1 – ident: ref9 doi: 10.1016/j.ast.2019.01.015 – ident: ref15 doi: 10.1016/j.ast.2017.12.009 – ident: ref4 doi: 10.1109/TAES.2020.3015321 – ident: ref26 doi: 10.1109/TAES.2024.3378196 – ident: ref8 doi: 10.1016/j.ast.2018.01.033 – year: 2003 ident: ref28 article-title: A common aero vehicle (CAV) model, description, and employment guide – ident: ref27 doi: 10.2514/1.G007662 – ident: ref17 doi: 10.1016/j.ast.2018.10.013 – volume: 42 issue: 7 year: 2021 ident: ref20 article-title: Cooperative reentry guidance for intelligent lateral maneuver of hypersonic vehicle based on downrange analytical solution publication-title: Acta Armamentarii – ident: ref24 doi: 10.2514/1.62605 – ident: ref21 doi: 10.1016/j.ast.2020.105876 – ident: ref12 doi: 10.1109/TAES.2022.3215554 – ident: ref11 doi: 10.1016/j.ast.2016.10.025 – ident: ref19 doi: 10.1016/j.actaastro.2019.07.039 – ident: ref10 doi: 10.1016/j.ast.2018.10.035 – ident: ref25 doi: 10.1109/TAES.2019.2921213 – year: 2013 ident: ref2 article-title: PredGuid+ A: Orion entry guidance modified for aerocapture – year: 2016 ident: ref13 article-title: Predictive lateral logic for numerical entry guidance algorithms – ident: ref6 doi: 10.2514/1.G007858 – volume-title: Proc. 62nd Int. Astronautical Congr. year: 2011 ident: ref14 article-title: Neural network based predictor-corrector entry guidance for high lifting vehicles – volume-title: Hypersonic and Planetary Entry Flight Mechanics year: 1980 ident: ref23 – ident: ref1 doi: 10.2514/2.5021 – volume: 27 start-page: 239 year: 1979 ident: ref7 article-title: Shuttle entry guidance publication-title: J. Astronautical Sci. – ident: ref16 doi: 10.1109/ICMAE.2019.8880965 – ident: ref18 doi: 10.1016/j.asr.2015.02.002 – volume: 33 start-page: 990 issue: 3 year: 2020 ident: ref22 article-title: Cooperative guidance strategy for multiple hypersonic gliding vehicles system publication-title: Chin. J. Aeronaut. doi: 10.1016/j.cja.2019.12.003 – ident: ref3 doi: 10.3390/math11010185
SSID	ssj0014843
Score	2.4642103
Snippet	Predictor-corrector guidance (PCG) methods for entry flight are valued for their flexibility and adaptability. This study focuses on the lateral control of PCG... Predictor–corrector guidance (PCG) methods for entry flight are valued for their flexibility and adaptability. This study focuses on the lateral control of PCG...
SourceID	proquest crossref ieee
SourceType	Aggregation Database Index Database Publisher
StartPage	2106
SubjectTerms	Aerodynamics Aerospace and electronic systems Algorithms Artificial neural networks Constraints Controllability Cooperative guidance entry guidance Flight heading coordination Heuristic algorithms Lateral control lateral guidance logic Prediction algorithms Predictor-corrector methods predictor–corrector guidance (PCG) Real time Real-time systems Sliding mode control terminal heading angle constraint Tracking errors Trajectories Trajectory Vehicle dynamics
Title	Real-Time Lateral Predictor-Corrector Entry Guidance With Terminal Heading Angle Constraint
URI	https://ieeexplore.ieee.org/document/10689275 https://www.proquest.com/docview/3188884870
Volume	61
WOSCitedRecordID	wos001464975000003&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: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 1557-9603 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0014843 issn: 0018-9251 databaseCode: RIE dateStart: 19650101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NS8MwFA9ueNCDnxOnU3LwJHT2Ix_NcYzNHcYYOnXgoaRJqoPRydb595uXdjIRD_YUaAvl_fLy8ut7Lz-EbkwaSxNxammJph5hRHiSxIGnMmo4S2mQOvm25yEfjeLpVIyrZnXXC2OMccVnpg1Dl8vXC7WGX2XWw1ksQk5rqMY5L5u1vlMGJK5K5ALrwTZqVynMwBd3k07v0VLBkLQjwiCk_whCTlXl11Ls4kv_8J9fdoQOqo0k7pTIH6Mdk5-g_a3jBU_R64PdBXrQ5IGHEjqN53i8hMSM5dleF2Q5YIR7oC2C79czDTMAv8yKdzwpa2TmeFAW2eNO_jY3GOQ9nahE0UBP_d6kO_AqMQVPhYQVnpJKpFpEGQlSpgTTWgeEg0SnogEzNtAz4ussi3lGQ6aUpRKZvaEpk1JHEYvOUD1f5OYcYQlqHZqEnAeSsFiJjClJIq20TwyRtIluN9ZNPsozMxLHNXyRABQJQJFUUDRRA8y59WBpySZqbQBJKrdaJXYBspflWP7FH69dor0QFHpdbU0L1Yvl2lyhXfVZzFbLazdjvgC79b4X
linkProvider	IEEE
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1NT9wwEB0VqER7AFq26pYvHzghBeJk7MTHFVrYimWFYPmQeogc26ErrZZqyfL763FCRYU4kJOlJFI0z-Pxy8z4Aey7MtcuzYSnJVZEKFFFGnMemUq4TJaCl0G-7WaYjUb53Z26aJvVQy-Mcy4Un7lDGoZcvn0wC_pV5j1c5irJxBKsCMSEN-1a_5IGmLdFctz7sI_bbRKTx-po3OtfeTKY4GGKkoL6f2Eo6Kq8WoxDhDlZf-e3bcBau5VkvQb7L_DBzb7C5xcHDG7Cr0u_D4yozYMNNfUaT9nFnFIznmlHxyTMQSPWJ3URdrqYWJoD7HZS_2bjpkpmygZNmT3rze6njpHAZ5CVqDtwfdIfHw-iVk4hMgnKOjLaqNKqtEJeSqOktZZjRiKdRnDpfKiXGNuqyrNKJNIYTyYqf8MKqbVNU5l-g-XZw8x9B6ZJr8NikmVco8yNqqTRmFpjY3SoRRcOnq1b_GlOzSgC24hVQVAUBEXRQtGFDpnzxYONJbuw_QxI0TrWY-GXIH95lhX_eOO1PVgdjM-HxfDn6GwLPiWk1xsqbbZhuZ4v3A58NE_15HG-G2bPX8wnwV4
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+Lateral+Predictor%E2%80%93Corrector+Entry+Guidance+With+Terminal+Heading+Angle+Constraint&rft.jtitle=IEEE+transactions+on+aerospace+and+electronic+systems&rft.au=Shi%2C+Peng&rft.au=Xu%2C+Jingjing&rft.au=Cheng%2C+Lin&rft.au=Dong%2C+Changhong&rft.date=2025-04-01&rft.issn=0018-9251&rft.eissn=1557-9603&rft.volume=61&rft.issue=2&rft.spage=2106&rft.epage=2119&rft_id=info:doi/10.1109%2FTAES.2024.3466125&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_TAES_2024_3466125
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9251&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9251&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9251&client=summon