Primal–dual adaptive dynamic programming for finite-horizon optimal control of nonlinear systems with isoperimetric constraints
In this paper, a novel primal–dual adaptive dynamic programming (PDADP) method is developed to solve finite-horizon optimal control problems (OCPs) with isoperimetric constraints for continuous-time nonlinear systems. The OCP with isoperimetric constraints is approximated by a series of linear quadr...
Gespeichert in:
| Veröffentlicht in: | Automatica (Oxford) Jg. 173; S. 112029 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier Ltd
01.03.2025
|
| Schlagworte: | |
| ISSN: | 0005-1098 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | In this paper, a novel primal–dual adaptive dynamic programming (PDADP) method is developed to solve finite-horizon optimal control problems (OCPs) with isoperimetric constraints for continuous-time nonlinear systems. The OCP with isoperimetric constraints is approximated by a series of linear quadratic time-varying OCPs with isoperimetric quadratic constraints, which are solved by the primal–dual (PD) method. The convergence of the PDADP method is proven. Furthermore, the optimality of the solution is analyzed by deriving the necessary optimality conditions via Pontryagin’s principle and proving that the limiting values of the iterations satisfy the necessary optimality conditions. Finally, simulation experiments are provided to show the effectiveness of the present PDADP method. |
|---|---|
| AbstractList | In this paper, a novel primal–dual adaptive dynamic programming (PDADP) method is developed to solve finite-horizon optimal control problems (OCPs) with isoperimetric constraints for continuous-time nonlinear systems. The OCP with isoperimetric constraints is approximated by a series of linear quadratic time-varying OCPs with isoperimetric quadratic constraints, which are solved by the primal–dual (PD) method. The convergence of the PDADP method is proven. Furthermore, the optimality of the solution is analyzed by deriving the necessary optimality conditions via Pontryagin’s principle and proving that the limiting values of the iterations satisfy the necessary optimality conditions. Finally, simulation experiments are provided to show the effectiveness of the present PDADP method. |
| ArticleNumber | 112029 |
| Author | Wei, Qinglai Li, Tao Wang, Fei-Yue Zhang, Jie |
| Author_xml | – sequence: 1 givenname: Qinglai surname: Wei fullname: Wei, Qinglai email: qinglai.wei@ia.ac.cn organization: State Key Laboratory of Multimodal Artificial Intelligence Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China – sequence: 2 givenname: Tao surname: Li fullname: Li, Tao email: litao2019@ia.ac.cn organization: State Key Laboratory of Multimodal Artificial Intelligence Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China – sequence: 3 givenname: Jie surname: Zhang fullname: Zhang, Jie email: jie.zhang@ia.ac.cn organization: State Key Laboratory of Multimodal Artificial Intelligence Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China – sequence: 4 givenname: Fei-Yue surname: Wang fullname: Wang, Fei-Yue email: feiyue.wang@ia.ac.cn organization: State Key Laboratory of Multimodal Artificial Intelligence Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China |
| BookMark | eNqFkEtOAzEQRL0IEkngDr7ABHu-mSVE_KRIsIC15bHbSUczdmQ7QWEFZ-CGnARHQWLJqtVSVXX1m5CRdRYIoZzNOOP11WYmd9ENMqKSs5zl5YzzNNoRGTPGqoyzdn5OJiFs0lryeT4mn88eB9l_f3zpneyp1HIbcQ9UH6wcUNGtdysvhwHtihrnqUGLEbK18_juLHVJnexUORu966kzNHXq0YL0NBxChCHQN4xrisFtId2C6FNs0ofoJdoYLsiZkX2Ay985Ja93ty-Lh2z5dP-4uF5mKq-LmEnNuq5rpAJulFE6r3WT111V6LZoa6MqzltWVh2oCsquAcMqxnLddGZesrKRxZTMT7nKuxA8GLE9vu4PgjNxxCc24g-fOOITJ3zJenOyQuq3R_AiKASrQKMHFYV2-H_IDxkiiKc |
| Cites_doi | 10.1137/110853182 10.1137/0304013 10.1109/TAC.2018.2869462 10.1080/02331930701421061 10.1007/s10107-004-0559-y 10.1007/s00245-018-9532-7 10.1016/j.automatica.2014.07.012 10.1016/j.sysconle.2004.05.008 10.1109/TAC.2015.2414811 10.1016/j.automatica.2020.109421 10.1016/j.cherd.2019.10.027 10.1137/16M1062569 10.1109/TAC.2018.2790260 10.1007/s40819-022-01425-y 10.1109/TAC.1968.1098965 10.1109/TAC.1967.1098632 10.1016/j.automatica.2022.110564 10.1016/j.automatica.2022.110841 10.1090/S0002-9947-1983-0690039-8 10.1137/060661247 10.1016/j.automatica.2004.05.015 10.1007/BF00932663 10.4208/jcm.1003-m0015 10.1023/A:1019279617898 10.1016/j.automatica.2020.109433 10.1016/0022-0396(70)90005-7 10.1016/S0167-6911(00)00026-8 10.1109/TCT.1972.1083507 10.1016/j.automatica.2022.110347 10.1109/TAC.1967.1098488 10.1016/j.automatica.2020.109035 10.1109/TAC.2021.3087452 10.1002/(SICI)1099-1514(199903/04)20:2<79::AID-OCA647>3.0.CO;2-3 10.1016/j.automatica.2004.11.034 10.1109/9.774108 10.1016/j.automatica.2021.110058 |
| ContentType | Journal Article |
| Copyright | 2024 Elsevier Ltd |
| Copyright_xml | – notice: 2024 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.automatica.2024.112029 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| ExternalDocumentID | 10_1016_j_automatica_2024_112029 S0005109824005235 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1~. 1~5 23N 3R3 4.4 457 4G. 5GY 5VS 6TJ 7-5 71M 8P~ 9JN 9JO AAAKF AAAKG AABNK AACTN AAEDT AAEDW AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARIN AAXKI AAXUO ABFNM ABFRF ABJNI ABMAC ABUCO ABWVN ABXDB ACBEA ACDAQ ACGFO ACGFS ACNNM ACRLP ACRPL ADBBV ADEZE ADIYS ADMUD ADNMO ADTZH AEBSH AECPX AEFWE AEIPS AEKER AENEX AFFNX AFJKZ AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHPGS AI. AIEXJ AIKHN AITUG AJOXV AKRWK ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ANKPU APLSM ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 EBS EFJIC EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HAMUX HLZ HVGLF HZ~ H~9 IHE J1W JJJVA K-O KOM LG9 LY7 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. PKN Q38 R2- RIG ROL RPZ RXW SBC SDF SDG SDP SES SET SEW SPC SPCBC SSB SSD SST SSZ T5K T9H TAE TN5 VH1 WH7 WUQ X6Y XPP ZMT ~G- 77I 9DU AATTM AAYWO AAYXX ABUFD ACLOT ACVFH ADCNI AEUPX AFPUW AGQPQ AIGII AIIUN AKBMS AKYEP APXCP CITATION EFKBS EFLBG ~HD |
| ID | FETCH-LOGICAL-c263t-ad0bbb7ace1fcfcd26d726b53d9396fc5119045bec5e4b7ef05002d7bf84047a3 |
| ISICitedReferencesCount | 2 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001389371500001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0005-1098 |
| IngestDate | Sat Nov 29 01:51:06 EST 2025 Sat Feb 15 15:51:42 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Isoperimetric constraints Adaptive dynamic programming Nonlinear systems Optimal control |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c263t-ad0bbb7ace1fcfcd26d726b53d9396fc5119045bec5e4b7ef05002d7bf84047a3 |
| ParticipantIDs | crossref_primary_10_1016_j_automatica_2024_112029 elsevier_sciencedirect_doi_10_1016_j_automatica_2024_112029 |
| PublicationCentury | 2000 |
| PublicationDate | March 2025 2025-03-00 |
| PublicationDateYYYYMMDD | 2025-03-01 |
| PublicationDate_xml | – month: 03 year: 2025 text: March 2025 |
| PublicationDecade | 2020 |
| PublicationTitle | Automatica (Oxford) |
| PublicationYear | 2025 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Tsiamis, Kalogerias, Chamon, Ribeiro, Pappas (b39) 2020 Zhou (b45) 2022; 142 Jiang, Jiang (b16) 2015; 60 Koenemann, Licitra, Alp, Diehl (b20) 2019 Pang, Jiang, Mareels (b33) 2020; 118 Schmitendorf (b34) 1976; 18 Lopez, Lewis (b26) 2018; 64 Boyd, Vandenberghe (b5) 2004 Soravia (b36) 2000; 40 Lee, Sutton (b23) 2021; 126 Jacobson (b15) 1970; 8 Moyalan, Choi, Chen, Vaidya (b32) 2023; 150 Sun (b37) 2021; 83 Lim, Zhou (b25) 1999; 44 He, Li, Du (b13) 2021; 125 Beard (b4) 1995 Kalman (b18) 1960; 5 Chyung (b6) 1967; 12 Miller, Sutton, Werbos (b31) 1995 Crandall, Lions (b9) 1983; 277 Malanowski (b28) 2007; 18 Cimen, Banks (b7) 2004; 53 Kumar, Vladimirsky (b21) 2010; 28 Lee (b22) 1967; 12 Grüne, Pannek, Grüne, Pannek (b12) 2017 Banks, Dinesh (b3) 2000; 98 Desoer, Haneda (b10) 1972; 19 Abu-Khalaf, Lewis (b1) 2005; 41 Zhang, Decardi-Nelson, Liu, Shen, Liu (b44) 2020; 153 Takei, Chen, Clawson, Kirov, Vladimirsky (b38) 2015; 53 Kelly (b19) 2017; 59 Mangasarian (b30) 1966; 4 Heydari (b14) 2018; 63 Govindarajan, de Visser, Krishnakumar (b11) 2014; 50 Sohrab (b35) 2003 Wei, Zhu, Li, Liu (b41) 2021; 67 Malanowski (b29) 2007; 56 Lim, Liu, Teo, Moore (b24) 1999; 20 Wächter, Biegler (b40) 2006; 106 Zouhri, El Baroudi, Saadi (b46) 2022; 8 Cimen, Banks (b8) 2004; 40 Banas, Vacroux (b2) 1968; 13 Luenberger (b27) 1997 Werbos (b42) 1977 Xie, Yu, Lan (b43) 2022; 146 Jiang, Zhou (b17) 2022; 136 Lim (10.1016/j.automatica.2024.112029_b24) 1999; 20 Takei (10.1016/j.automatica.2024.112029_b38) 2015; 53 Zouhri (10.1016/j.automatica.2024.112029_b46) 2022; 8 Sun (10.1016/j.automatica.2024.112029_b37) 2021; 83 Xie (10.1016/j.automatica.2024.112029_b43) 2022; 146 Wächter (10.1016/j.automatica.2024.112029_b40) 2006; 106 Pang (10.1016/j.automatica.2024.112029_b33) 2020; 118 Schmitendorf (10.1016/j.automatica.2024.112029_b34) 1976; 18 Malanowski (10.1016/j.automatica.2024.112029_b29) 2007; 56 Abu-Khalaf (10.1016/j.automatica.2024.112029_b1) 2005; 41 Kumar (10.1016/j.automatica.2024.112029_b21) 2010; 28 Miller (10.1016/j.automatica.2024.112029_b31) 1995 Desoer (10.1016/j.automatica.2024.112029_b10) 1972; 19 Werbos (10.1016/j.automatica.2024.112029_b42) 1977 Zhang (10.1016/j.automatica.2024.112029_b44) 2020; 153 Tsiamis (10.1016/j.automatica.2024.112029_b39) 2020 Grüne (10.1016/j.automatica.2024.112029_b12) 2017 Jiang (10.1016/j.automatica.2024.112029_b16) 2015; 60 Zhou (10.1016/j.automatica.2024.112029_b45) 2022; 142 Kalman (10.1016/j.automatica.2024.112029_b18) 1960; 5 Mangasarian (10.1016/j.automatica.2024.112029_b30) 1966; 4 Lee (10.1016/j.automatica.2024.112029_b23) 2021; 126 Chyung (10.1016/j.automatica.2024.112029_b6) 1967; 12 Govindarajan (10.1016/j.automatica.2024.112029_b11) 2014; 50 Lopez (10.1016/j.automatica.2024.112029_b26) 2018; 64 Luenberger (10.1016/j.automatica.2024.112029_b27) 1997 Sohrab (10.1016/j.automatica.2024.112029_b35) 2003 Soravia (10.1016/j.automatica.2024.112029_b36) 2000; 40 Banks (10.1016/j.automatica.2024.112029_b3) 2000; 98 Lim (10.1016/j.automatica.2024.112029_b25) 1999; 44 Crandall (10.1016/j.automatica.2024.112029_b9) 1983; 277 Cimen (10.1016/j.automatica.2024.112029_b8) 2004; 40 Moyalan (10.1016/j.automatica.2024.112029_b32) 2023; 150 Malanowski (10.1016/j.automatica.2024.112029_b28) 2007; 18 Cimen (10.1016/j.automatica.2024.112029_b7) 2004; 53 Kelly (10.1016/j.automatica.2024.112029_b19) 2017; 59 Heydari (10.1016/j.automatica.2024.112029_b14) 2018; 63 He (10.1016/j.automatica.2024.112029_b13) 2021; 125 Jacobson (10.1016/j.automatica.2024.112029_b15) 1970; 8 Boyd (10.1016/j.automatica.2024.112029_b5) 2004 Lee (10.1016/j.automatica.2024.112029_b22) 1967; 12 Wei (10.1016/j.automatica.2024.112029_b41) 2021; 67 Beard (10.1016/j.automatica.2024.112029_b4) 1995 Koenemann (10.1016/j.automatica.2024.112029_b20) 2019 Banas (10.1016/j.automatica.2024.112029_b2) 1968; 13 Jiang (10.1016/j.automatica.2024.112029_b17) 2022; 136 |
| References_xml | – volume: 277 start-page: 1 year: 1983 end-page: 42 ident: b9 article-title: Viscosity solutions of Hamilton-Jacobi equations publication-title: Transactions of the American Mathematical Society – year: 2003 ident: b35 article-title: Basic real analysis – volume: 146 year: 2022 ident: b43 article-title: Optimal output regulation for unknown continuous-time linear systems by internal model and adaptive dynamic programming publication-title: Automatica – volume: 125 year: 2021 ident: b13 article-title: Lexicographic multi-objective MPC for constrained nonlinear systems with changing objective prioritization publication-title: Automatica – volume: 12 start-page: 87 year: 1967 end-page: 90 ident: b22 article-title: Linear optimal control problems with isoperimetric constraints publication-title: IEEE Transactions on Automatic Control – year: 1997 ident: b27 article-title: Optimization by vector space methods – volume: 44 start-page: 1359 year: 1999 end-page: 1369 ident: b25 article-title: Stochastic optimal LQR control with integral quadratic constraints and indefinite control weights publication-title: IEEE Transactions on Automatic Control – volume: 40 start-page: 325 year: 2000 end-page: 335 ident: b36 article-title: Viscosity solutions and optimal control problems with integral constraints publication-title: Systems & Control Letters – year: 1995 ident: b4 article-title: Improving the closed-loop performance of nonlinear systems – volume: 59 start-page: 849 year: 2017 end-page: 904 ident: b19 article-title: An introduction to trajectory optimization: How to do your own direct collocation publication-title: SIAM Review – volume: 20 start-page: 79 year: 1999 end-page: 92 ident: b24 article-title: Linear-quadratic optimal control with integral quadratic constraints publication-title: Optimal Control Applications and Methods – volume: 13 start-page: 439 year: 1968 end-page: 440 ident: b2 article-title: On linear systems with a time-varying delay and isoperimetric constraints publication-title: IEEE Transactions on Automatic Control – volume: 56 start-page: 463 year: 2007 end-page: 478 ident: b29 article-title: Stability and sensitivity analysis for linear-quadratic optimal control subject to state constraints publication-title: Optimization – volume: 53 start-page: 712 year: 2015 end-page: 744 ident: b38 article-title: Optimal control with budget constraints and resets publication-title: SIAM Journal on Control and Optimization – volume: 67 start-page: 2610 year: 2021 end-page: 2617 ident: b41 article-title: A new approach to finite-horizon optimal control for discrete-time affine nonlinear systems via a pseudolinear method publication-title: IEEE Transactions on Automatic Control – year: 2004 ident: b5 article-title: Convex optimization – volume: 18 start-page: 926 year: 2007 end-page: 945 ident: b28 article-title: Stability analysis for nonlinear optimal control problems subject to state constraints publication-title: SIAM Journal on Optimization – volume: 136 year: 2022 ident: b17 article-title: Bias-policy iteration based adaptive dynamic programming for unknown continuous-time linear systems publication-title: Automatica – volume: 40 start-page: 1845 year: 2004 end-page: 1863 ident: b8 article-title: Nonlinear optimal tracking control with application to super-tankers for autopilot design publication-title: Automatica – volume: 50 start-page: 2234 year: 2014 end-page: 2244 ident: b11 article-title: A sparse collocation method for solving time-dependent HJB equations using multivariate B-splines publication-title: Automatica – volume: 64 start-page: 2869 year: 2018 end-page: 2874 ident: b26 article-title: Dynamic multiobjective control for continuous-time systems using reinforcement learning publication-title: IEEE Transactions on Automatic Control – volume: 4 start-page: 139 year: 1966 end-page: 152 ident: b30 article-title: Sufficient conditions for the optimal control of nonlinear systems publication-title: SIAM Journal on Control – volume: 8 start-page: 258 year: 1970 end-page: 263 ident: b15 article-title: New conditions for boundedness of the solution of a matrix Riccati differential equation publication-title: Journal of Differential Equations – start-page: 3040 year: 2020 end-page: 3047 ident: b39 article-title: Risk-constrained linear-quadratic regulators publication-title: IEEE conference on decision and control (CDC) – volume: 60 start-page: 2917 year: 2015 end-page: 2929 ident: b16 article-title: Global adaptive dynamic programming for continuous-time nonlinear systems publication-title: IEEE Transactions on Automatic Control – volume: 19 start-page: 480 year: 1972 end-page: 486 ident: b10 article-title: The measure of a matrix as a tool to analyze computer algorithms for circuit analysis publication-title: IEEE Transactions on Circuit Theory – volume: 18 start-page: 561 year: 1976 end-page: 567 ident: b34 article-title: Pontryagin’s principle for problems with isoperimetric constraints and for problems with inequality terminal constraints publication-title: Journal of Optimization Theory and Applications – volume: 63 start-page: 3119 year: 2018 end-page: 3126 ident: b14 article-title: Stability analysis of optimal adaptive control using value iteration with approximation errors publication-title: IEEE Transactions on Automatic Control – volume: 98 start-page: 19 year: 2000 end-page: 44 ident: b3 article-title: Approximate optimal control and stability of nonlinear finite-and infinite-dimensional systems publication-title: Annals of Operations Research – volume: 142 year: 2022 ident: b45 article-title: Viscosity solutions to first order path-dependent Hamilton–Jacobi–Bellman equations in Hilbert space publication-title: Automatica – year: 1995 ident: b31 article-title: A menu of designs for reinforcement learning over time – start-page: 1 year: 2019 end-page: 2 ident: b20 article-title: OpenOCL-Open optimal control library publication-title: Proceedings of the 2019 robotics: science and system conference – volume: 153 start-page: 246 year: 2020 end-page: 256 ident: b44 article-title: Zone economic model predictive control of a coal-fired boiler-turbine generating system publication-title: Chemical Engineering Research and Design – volume: 12 start-page: 434 year: 1967 end-page: 435 ident: b6 article-title: Linear time-lag systems with side constraints publication-title: IEEE Transactions on Automatic Control – volume: 41 start-page: 779 year: 2005 end-page: 791 ident: b1 article-title: Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach publication-title: Automatica – year: 2017 ident: b12 article-title: Nonlinear model predictive control – volume: 28 start-page: 517 year: 2010 end-page: 551 ident: b21 article-title: An efficient method for multiobjective optimal control and optimal control subject to integral constraints publication-title: Journal of Computational Mathematics – volume: 118 year: 2020 ident: b33 article-title: Reinforcement learning for adaptive optimal control of continuous-time linear periodic systems publication-title: Automatica – volume: 106 start-page: 25 year: 2006 end-page: 57 ident: b40 article-title: On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming publication-title: Mathematical Programming – volume: 53 start-page: 327 year: 2004 end-page: 346 ident: b7 article-title: Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria publication-title: Systems & Control Letters – volume: 126 year: 2021 ident: b23 article-title: Policy iterations for reinforcement learning problems in continuous time and space—Fundamental theory and methods publication-title: Automatica – volume: 150 year: 2023 ident: b32 article-title: Data-driven optimal control via linear transfer operators: A convex approach publication-title: Automatica – start-page: 25 year: 1977 end-page: 38 ident: b42 article-title: Advanced forecasting methods for global crisis warning and models of intelligence publication-title: General System Yearbook – volume: 5 start-page: 102 year: 1960 end-page: 119 ident: b18 article-title: Contributions to the theory of optimal control publication-title: Boletin de la Sociedad Matematica Mexicana – volume: 83 start-page: 251 year: 2021 end-page: 276 ident: b37 article-title: Linear quadratic optimal control problems with fixed terminal states and integral quadratic constraints publication-title: Applied Mathematics and Optimization – volume: 8 start-page: 215 year: 2022 ident: b46 article-title: Optimal control with isoperimetric constraint for chemotherapy of tumors publication-title: International Journal of Applied and Computational Mathematics – volume: 53 start-page: 712 issue: 2 year: 2015 ident: 10.1016/j.automatica.2024.112029_b38 article-title: Optimal control with budget constraints and resets publication-title: SIAM Journal on Control and Optimization doi: 10.1137/110853182 – volume: 4 start-page: 139 issue: 1 year: 1966 ident: 10.1016/j.automatica.2024.112029_b30 article-title: Sufficient conditions for the optimal control of nonlinear systems publication-title: SIAM Journal on Control doi: 10.1137/0304013 – volume: 64 start-page: 2869 issue: 7 year: 2018 ident: 10.1016/j.automatica.2024.112029_b26 article-title: Dynamic multiobjective control for continuous-time systems using reinforcement learning publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2018.2869462 – start-page: 3040 year: 2020 ident: 10.1016/j.automatica.2024.112029_b39 article-title: Risk-constrained linear-quadratic regulators – volume: 56 start-page: 463 issue: 4 year: 2007 ident: 10.1016/j.automatica.2024.112029_b29 article-title: Stability and sensitivity analysis for linear-quadratic optimal control subject to state constraints publication-title: Optimization doi: 10.1080/02331930701421061 – volume: 106 start-page: 25 issue: 1 year: 2006 ident: 10.1016/j.automatica.2024.112029_b40 article-title: On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming publication-title: Mathematical Programming doi: 10.1007/s10107-004-0559-y – volume: 83 start-page: 251 issue: 1 year: 2021 ident: 10.1016/j.automatica.2024.112029_b37 article-title: Linear quadratic optimal control problems with fixed terminal states and integral quadratic constraints publication-title: Applied Mathematics and Optimization doi: 10.1007/s00245-018-9532-7 – volume: 50 start-page: 2234 issue: 9 year: 2014 ident: 10.1016/j.automatica.2024.112029_b11 article-title: A sparse collocation method for solving time-dependent HJB equations using multivariate B-splines publication-title: Automatica doi: 10.1016/j.automatica.2014.07.012 – volume: 53 start-page: 327 issue: 5 year: 2004 ident: 10.1016/j.automatica.2024.112029_b7 article-title: Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria publication-title: Systems & Control Letters doi: 10.1016/j.sysconle.2004.05.008 – volume: 60 start-page: 2917 issue: 11 year: 2015 ident: 10.1016/j.automatica.2024.112029_b16 article-title: Global adaptive dynamic programming for continuous-time nonlinear systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2015.2414811 – volume: 126 year: 2021 ident: 10.1016/j.automatica.2024.112029_b23 article-title: Policy iterations for reinforcement learning problems in continuous time and space—Fundamental theory and methods publication-title: Automatica doi: 10.1016/j.automatica.2020.109421 – volume: 153 start-page: 246 year: 2020 ident: 10.1016/j.automatica.2024.112029_b44 article-title: Zone economic model predictive control of a coal-fired boiler-turbine generating system publication-title: Chemical Engineering Research and Design doi: 10.1016/j.cherd.2019.10.027 – volume: 59 start-page: 849 issue: 4 year: 2017 ident: 10.1016/j.automatica.2024.112029_b19 article-title: An introduction to trajectory optimization: How to do your own direct collocation publication-title: SIAM Review doi: 10.1137/16M1062569 – volume: 63 start-page: 3119 issue: 9 year: 2018 ident: 10.1016/j.automatica.2024.112029_b14 article-title: Stability analysis of optimal adaptive control using value iteration with approximation errors publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2018.2790260 – volume: 8 start-page: 215 issue: 4 year: 2022 ident: 10.1016/j.automatica.2024.112029_b46 article-title: Optimal control with isoperimetric constraint for chemotherapy of tumors publication-title: International Journal of Applied and Computational Mathematics doi: 10.1007/s40819-022-01425-y – volume: 13 start-page: 439 issue: 4 year: 1968 ident: 10.1016/j.automatica.2024.112029_b2 article-title: On linear systems with a time-varying delay and isoperimetric constraints publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.1968.1098965 – volume: 12 start-page: 434 issue: 4 year: 1967 ident: 10.1016/j.automatica.2024.112029_b6 article-title: Linear time-lag systems with side constraints publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.1967.1098632 – year: 2017 ident: 10.1016/j.automatica.2024.112029_b12 – volume: 146 year: 2022 ident: 10.1016/j.automatica.2024.112029_b43 article-title: Optimal output regulation for unknown continuous-time linear systems by internal model and adaptive dynamic programming publication-title: Automatica doi: 10.1016/j.automatica.2022.110564 – volume: 150 year: 2023 ident: 10.1016/j.automatica.2024.112029_b32 article-title: Data-driven optimal control via linear transfer operators: A convex approach publication-title: Automatica doi: 10.1016/j.automatica.2022.110841 – volume: 277 start-page: 1 issue: 1 year: 1983 ident: 10.1016/j.automatica.2024.112029_b9 article-title: Viscosity solutions of Hamilton-Jacobi equations publication-title: Transactions of the American Mathematical Society doi: 10.1090/S0002-9947-1983-0690039-8 – volume: 18 start-page: 926 issue: 3 year: 2007 ident: 10.1016/j.automatica.2024.112029_b28 article-title: Stability analysis for nonlinear optimal control problems subject to state constraints publication-title: SIAM Journal on Optimization doi: 10.1137/060661247 – volume: 40 start-page: 1845 issue: 11 year: 2004 ident: 10.1016/j.automatica.2024.112029_b8 article-title: Nonlinear optimal tracking control with application to super-tankers for autopilot design publication-title: Automatica doi: 10.1016/j.automatica.2004.05.015 – start-page: 25 year: 1977 ident: 10.1016/j.automatica.2024.112029_b42 article-title: Advanced forecasting methods for global crisis warning and models of intelligence publication-title: General System Yearbook – volume: 18 start-page: 561 issue: 4 year: 1976 ident: 10.1016/j.automatica.2024.112029_b34 article-title: Pontryagin’s principle for problems with isoperimetric constraints and for problems with inequality terminal constraints publication-title: Journal of Optimization Theory and Applications doi: 10.1007/BF00932663 – year: 1995 ident: 10.1016/j.automatica.2024.112029_b4 – year: 2004 ident: 10.1016/j.automatica.2024.112029_b5 – volume: 28 start-page: 517 issue: 4 year: 2010 ident: 10.1016/j.automatica.2024.112029_b21 article-title: An efficient method for multiobjective optimal control and optimal control subject to integral constraints publication-title: Journal of Computational Mathematics doi: 10.4208/jcm.1003-m0015 – volume: 98 start-page: 19 issue: 1 year: 2000 ident: 10.1016/j.automatica.2024.112029_b3 article-title: Approximate optimal control and stability of nonlinear finite-and infinite-dimensional systems publication-title: Annals of Operations Research doi: 10.1023/A:1019279617898 – volume: 125 year: 2021 ident: 10.1016/j.automatica.2024.112029_b13 article-title: Lexicographic multi-objective MPC for constrained nonlinear systems with changing objective prioritization publication-title: Automatica doi: 10.1016/j.automatica.2020.109433 – volume: 8 start-page: 258 issue: 2 year: 1970 ident: 10.1016/j.automatica.2024.112029_b15 article-title: New conditions for boundedness of the solution of a matrix Riccati differential equation publication-title: Journal of Differential Equations doi: 10.1016/0022-0396(70)90005-7 – volume: 40 start-page: 325 issue: 5 year: 2000 ident: 10.1016/j.automatica.2024.112029_b36 article-title: Viscosity solutions and optimal control problems with integral constraints publication-title: Systems & Control Letters doi: 10.1016/S0167-6911(00)00026-8 – volume: 19 start-page: 480 issue: 5 year: 1972 ident: 10.1016/j.automatica.2024.112029_b10 article-title: The measure of a matrix as a tool to analyze computer algorithms for circuit analysis publication-title: IEEE Transactions on Circuit Theory doi: 10.1109/TCT.1972.1083507 – year: 1997 ident: 10.1016/j.automatica.2024.112029_b27 – volume: 142 year: 2022 ident: 10.1016/j.automatica.2024.112029_b45 article-title: Viscosity solutions to first order path-dependent Hamilton–Jacobi–Bellman equations in Hilbert space publication-title: Automatica doi: 10.1016/j.automatica.2022.110347 – volume: 12 start-page: 87 issue: 1 year: 1967 ident: 10.1016/j.automatica.2024.112029_b22 article-title: Linear optimal control problems with isoperimetric constraints publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.1967.1098488 – volume: 118 year: 2020 ident: 10.1016/j.automatica.2024.112029_b33 article-title: Reinforcement learning for adaptive optimal control of continuous-time linear periodic systems publication-title: Automatica doi: 10.1016/j.automatica.2020.109035 – volume: 67 start-page: 2610 issue: 5 year: 2021 ident: 10.1016/j.automatica.2024.112029_b41 article-title: A new approach to finite-horizon optimal control for discrete-time affine nonlinear systems via a pseudolinear method publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2021.3087452 – volume: 20 start-page: 79 issue: 2 year: 1999 ident: 10.1016/j.automatica.2024.112029_b24 article-title: Linear-quadratic optimal control with integral quadratic constraints publication-title: Optimal Control Applications and Methods doi: 10.1002/(SICI)1099-1514(199903/04)20:2<79::AID-OCA647>3.0.CO;2-3 – volume: 41 start-page: 779 issue: 5 year: 2005 ident: 10.1016/j.automatica.2024.112029_b1 article-title: Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach publication-title: Automatica doi: 10.1016/j.automatica.2004.11.034 – volume: 5 start-page: 102 issue: 2 year: 1960 ident: 10.1016/j.automatica.2024.112029_b18 article-title: Contributions to the theory of optimal control publication-title: Boletin de la Sociedad Matematica Mexicana – volume: 44 start-page: 1359 issue: 7 year: 1999 ident: 10.1016/j.automatica.2024.112029_b25 article-title: Stochastic optimal LQR control with integral quadratic constraints and indefinite control weights publication-title: IEEE Transactions on Automatic Control doi: 10.1109/9.774108 – year: 1995 ident: 10.1016/j.automatica.2024.112029_b31 – year: 2003 ident: 10.1016/j.automatica.2024.112029_b35 – start-page: 1 year: 2019 ident: 10.1016/j.automatica.2024.112029_b20 article-title: OpenOCL-Open optimal control library – volume: 136 year: 2022 ident: 10.1016/j.automatica.2024.112029_b17 article-title: Bias-policy iteration based adaptive dynamic programming for unknown continuous-time linear systems publication-title: Automatica doi: 10.1016/j.automatica.2021.110058 |
| SSID | ssj0004182 |
| Score | 2.482599 |
| Snippet | In this paper, a novel primal–dual adaptive dynamic programming (PDADP) method is developed to solve finite-horizon optimal control problems (OCPs) with... |
| SourceID | crossref elsevier |
| SourceType | Index Database Publisher |
| StartPage | 112029 |
| SubjectTerms | Adaptive dynamic programming Isoperimetric constraints Nonlinear systems Optimal control |
| Title | Primal–dual adaptive dynamic programming for finite-horizon optimal control of nonlinear systems with isoperimetric constraints |
| URI | https://dx.doi.org/10.1016/j.automatica.2024.112029 |
| Volume | 173 |
| WOSCitedRecordID | wos001389371500001&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: Elsevier SD Freedom Collection Journals 2021 issn: 0005-1098 databaseCode: AIEXJ dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: false ssIdentifier: ssj0004182 providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3LbtQwFLWGlgUsKp6iFJAXbI0ycRLHYlVVraBCVZEGGFaRYzsiVTsZzaMadVW-gV_ol_ElXL-SDK1UQGITRVbiOLlHN9f2ueci9LrUgsmEUTLUSpNEpZrwnEqiZKR1Fok8tZT_zx_Y0VE-HvPjweAq5MKcn7LJJF-t-PS_mhrawNgmdfYvzN12Cg1wDkaHI5gdjn9k-GOjH3EaSAzU5loJJaaWI6RcAfpAyzoLPMqqNrEn-dbM6gsTQcLVZ1Y5xBHZDdvDaWqIIP7s0-LqeeNKBBilf3P93BadcPpQrbztctFYaVhh1U1XjlDfLkF80ZZS8LE2BUXqliJkG0eiuba2fVh3G0q-6UDX5OtS99cw4rQjcbV-2eihunrUrV9mtOdZIS6M3MCuOX23_nBiKD_-ZWDeHydvulvWdbZ_-_-1rMRAeDspup4K01PherqDNmOWcvCdm7vv98eHXf7tMHeq9P4tPGPM8QhvHtXNYVAvtBk9QFt-ToJ3HZYeooGePEL3e0qVj9F3h6qflz8MnnDAE_Z4wj08YbAuXscT9njCHk-4qXCLJ-zxhA2e8BqecA9PT9Cng_3R3jviq3cQGWd0QYSKyrJkQuphJSup4kyxOCtTqjjlWSXNBjbMJ8CHpDopma6iFP7OipVVnkQJE_Qp2oCh6GcIK57nlTLFmss0SaTOpZCCx5LyCgJkqrfRMHzMYupEWorbjLmN3oavXvhg0wWRBcDq1ruf_8MTd9C9Dvsv0MZittQv0V15vqjns1ceU78A1niuuw |
| 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=Primal%E2%80%93dual+adaptive+dynamic+programming+for+finite-horizon+optimal+control+of+nonlinear+systems+with+isoperimetric+constraints&rft.jtitle=Automatica+%28Oxford%29&rft.au=Wei%2C+Qinglai&rft.au=Li%2C+Tao&rft.au=Zhang%2C+Jie&rft.au=Wang%2C+Fei-Yue&rft.date=2025-03-01&rft.issn=0005-1098&rft.volume=173&rft.spage=112029&rft_id=info:doi/10.1016%2Fj.automatica.2024.112029&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_automatica_2024_112029 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0005-1098&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0005-1098&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0005-1098&client=summon |