Policy iteration for H∞ control of polynomial time‐varying systems
This paper studies the H∞ control problem for polynomial time‐varying systems. The H∞ control problem has been much less investigated for time‐varying systems in comparison to the time‐invariant systems. Approximate dynamic programming (ADP) is an optimal method to solve the control problems. Theref...
Saved in:
| Published in: | IET control theory & applications Vol. 18; no. 10; pp. 1248 - 1261 |
|---|---|
| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Stevenage
John Wiley & Sons, Inc
01.07.2024
Wiley |
| Subjects: | |
| ISSN: | 1751-8644, 1751-8652 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This paper studies the H∞ control problem for polynomial time‐varying systems. The H∞ control problem has been much less investigated for time‐varying systems in comparison to the time‐invariant systems. Approximate dynamic programming (ADP) is an optimal method to solve the control problems. Therefore, it is valuable to solve the polynomial time‐varying H∞ control problem with the ADP approach. Considering the time as an independent variable for sum‐of‐squares (SOS) optimization problems, an SOS‐based ADP method is proposed to solve this problem. A policy iteration algorithm is presented, where in its policy evaluation step it is sufficient to solve an optimization problem. Some constraints are added to this optimization problem to guarantee the closed‐loop exponential stability. The convergence and stability properties of the proposed algorithm are stated and proven. Moreover, in order to design an H∞ controller with a smaller disturbance attenuation coefficient, a two‐loop algorithm is suggested. Finally, the effectiveness of the proposed method is demonstrated by simulation examples.
In this paper, the H∞ control problem is solved for polynomial time‐varying systems. A sum‐of‐squares‐based approximate dynamic programming method is proposed to solve this problem. The convergence and stability properties of the proposed algorithm are stated and proven. |
|---|---|
| AbstractList | This paper studies the H∞ control problem for polynomial time‐varying systems. The H∞ control problem has been much less investigated for time‐varying systems in comparison to the time‐invariant systems. Approximate dynamic programming (ADP) is an optimal method to solve the control problems. Therefore, it is valuable to solve the polynomial time‐varying H∞ control problem with the ADP approach. Considering the time as an independent variable for sum‐of‐squares (SOS) optimization problems, an SOS‐based ADP method is proposed to solve this problem. A policy iteration algorithm is presented, where in its policy evaluation step it is sufficient to solve an optimization problem. Some constraints are added to this optimization problem to guarantee the closed‐loop exponential stability. The convergence and stability properties of the proposed algorithm are stated and proven. Moreover, in order to design an H∞ controller with a smaller disturbance attenuation coefficient, a two‐loop algorithm is suggested. Finally, the effectiveness of the proposed method is demonstrated by simulation examples. Abstract This paper studies the H∞ control problem for polynomial time‐varying systems. The H∞ control problem has been much less investigated for time‐varying systems in comparison to the time‐invariant systems. Approximate dynamic programming (ADP) is an optimal method to solve the control problems. Therefore, it is valuable to solve the polynomial time‐varying H∞ control problem with the ADP approach. Considering the time as an independent variable for sum‐of‐squares (SOS) optimization problems, an SOS‐based ADP method is proposed to solve this problem. A policy iteration algorithm is presented, where in its policy evaluation step it is sufficient to solve an optimization problem. Some constraints are added to this optimization problem to guarantee the closed‐loop exponential stability. The convergence and stability properties of the proposed algorithm are stated and proven. Moreover, in order to design an H∞ controller with a smaller disturbance attenuation coefficient, a two‐loop algorithm is suggested. Finally, the effectiveness of the proposed method is demonstrated by simulation examples. This paper studies the H∞ control problem for polynomial time‐varying systems. The H∞ control problem has been much less investigated for time‐varying systems in comparison to the time‐invariant systems. Approximate dynamic programming (ADP) is an optimal method to solve the control problems. Therefore, it is valuable to solve the polynomial time‐varying H∞ control problem with the ADP approach. Considering the time as an independent variable for sum‐of‐squares (SOS) optimization problems, an SOS‐based ADP method is proposed to solve this problem. A policy iteration algorithm is presented, where in its policy evaluation step it is sufficient to solve an optimization problem. Some constraints are added to this optimization problem to guarantee the closed‐loop exponential stability. The convergence and stability properties of the proposed algorithm are stated and proven. Moreover, in order to design an H∞ controller with a smaller disturbance attenuation coefficient, a two‐loop algorithm is suggested. Finally, the effectiveness of the proposed method is demonstrated by simulation examples. In this paper, the H∞ control problem is solved for polynomial time‐varying systems. A sum‐of‐squares‐based approximate dynamic programming method is proposed to solve this problem. The convergence and stability properties of the proposed algorithm are stated and proven. This paper studies the H ∞ control problem for polynomial time‐varying systems. The H ∞ control problem has been much less investigated for time‐varying systems in comparison to the time‐invariant systems. Approximate dynamic programming (ADP) is an optimal method to solve the control problems. Therefore, it is valuable to solve the polynomial time‐varying H ∞ control problem with the ADP approach. Considering the time as an independent variable for sum‐of‐squares (SOS) optimization problems, an SOS‐based ADP method is proposed to solve this problem. A policy iteration algorithm is presented, where in its policy evaluation step it is sufficient to solve an optimization problem. Some constraints are added to this optimization problem to guarantee the closed‐loop exponential stability. The convergence and stability properties of the proposed algorithm are stated and proven. Moreover, in order to design an H ∞ controller with a smaller disturbance attenuation coefficient, a two‐loop algorithm is suggested. Finally, the effectiveness of the proposed method is demonstrated by simulation examples. |
| Author | Pakkhesal, Sajjad Shamaghdari, Saeed |
| Author_xml | – sequence: 1 givenname: Sajjad surname: Pakkhesal fullname: Pakkhesal, Sajjad organization: Iran University of Science and Technology – sequence: 2 givenname: Saeed orcidid: 0000-0002-2014-3098 surname: Shamaghdari fullname: Shamaghdari, Saeed email: shamaghdari@iust.ac.ir organization: Iran University of Science and Technology |
| BookMark | eNp9kM1KAzEUhYNU0Kobn2DAndCam7-ZWUpRWxB0oeuQpklNmU5qEpXZuXTpE_hwfRKnHXUh4iqX8J3D4eujXu1rg9Ax4CFgVp7p9ECGQISAHbQPOYdBITjp_dyM7aF-jAuMOReM76PLW1853WQumaCS83VmfcjG67ePTPs6BV9l3mYrXzW1XzpVZcktzfr1_VmFxtXzLDYxmWU8RLtWVdEcfb0H6P7y4m40HlzfXE1G59cDzTCFgQUoTC4UpRo015SWsylVFLMp55TnigrLSzHTihbQTiS8YCqnOTNUFbYEQw_QpOudebWQq-CW7Q7plZPbDx_mUoXkdGVkKSxYUmhjKDCDdWFnnDDFmNHTqRCbrpOuaxX845OJSS78U6jb-ZKSnAvgOSlbCneUDj7GYKzULm1NpaBcJQHLjXm5MS-35tvI6a_I99A_YejgF1eZ5h9Sju7GpMt8AraUloU |
| CitedBy_id | crossref_primary_10_1016_j_jsv_2025_119204 crossref_primary_10_1049_cth2_70022 |
| Cites_doi | 10.1007/978-0-8176-4757-5 10.1109/TCYB.2019.2957154 10.1109/9.256331 10.1080/10556789908805766 10.1109/CDC.2002.1184594 10.1109/TSMC.2023.3247888 10.1017/CBO9780511815652 10.1109/TCYB.2016.2643687 10.1109/TAC.2023.3273786 10.1109/TSMC.2019.2911900 10.1002/asjc.2689 10.1109/MCAS.2009.933854 10.1049/cth2.12376 10.1109/TNNLS.2021.3087796 10.1002/rnc.5341 10.1049/cth2.12473 10.1109/TII.2020.2979779 10.1007/b96977 10.1016/j.robot.2023.104486 10.1109/TCYB.2019.2926631 10.1002/oca.2801 10.1109/TFUZZ.2008.924341 10.1016/j.automatica.2004.11.034 10.1109/TNNLS.2021.3072571 10.1016/S0005-1098(03)00148-1 10.1080/00207179608921626 10.1080/00207179.2022.2027523 10.1016/j.ins.2023.118949 10.1016/j.automatica.2022.110761 10.1016/j.automatica.2022.110685 10.1016/j.ins.2022.03.004 10.1109/LCSYS.2020.2990632 10.1109/TCYB.2021.3065995 10.1090/dimacs/060/08 10.1109/ACC.2008.4586655 10.1155/2022/6512906 10.23919/ECC.1997.7082600 10.1109/TNNLS.2017.2773458 10.1002/rnc.4304 10.1109/JAS.2023.123096 10.1109/TAC.2015.2414811 10.1109/TSMC.2023.3277737 10.1109/TCNS.2022.3186623 10.1016/j.automatica.2022.110768 |
| ContentType | Journal Article |
| Copyright | 2024 The Authors. published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology. 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the "License"). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2024 The Authors. published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology. – notice: 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the "License"). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | 24P AAYXX CITATION 3V. 7XB 8AL 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ JQ2 K7- L6V M0N M7S P5Z P62 PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U DOA |
| DOI | 10.1049/cth2.12661 |
| DatabaseName | Wiley Online Library Open Access CrossRef ProQuest Central (Corporate) ProQuest Central (purchase pre-March 2016) Computing Database (Alumni Edition) ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ProQuest SciTech Premium Collection Technology Collection Materials Science & Engineering Database ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials - QC ProQuest Central Technology Collection ProQuest One ProQuest Central Korea ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database ProQuest Engineering Collection Computing Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic DOAJ Directory of Open Access Journals |
| DatabaseTitle | CrossRef Computer Science Database ProQuest Central Student Technology Collection ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection ProQuest Computing Engineering Database ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection ProQuest One Academic ProQuest Central (Alumni) ProQuest One Academic (New) |
| DatabaseTitleList | Computer Science Database CrossRef |
| Database_xml | – sequence: 1 dbid: 24P name: Wiley Online Library Open Access url: https://authorservices.wiley.com/open-science/open-access/browse-journals.html sourceTypes: Publisher – sequence: 2 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 3 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1751-8652 |
| EndPage | 1261 |
| ExternalDocumentID | oai_doaj_org_article_96f1f28cee314e0c8fd524a44ecbb66e 10_1049_cth2_12661 CTH212661 |
| Genre | article |
| GroupedDBID | .DC 0R~ 0ZK 1OC 24P 29I 3V. 4.4 4IJ 5GY 6IK 8FE 8FG 8VB 96U AAHHS AAHJG AAJGR ABJCF ABQXS ABUWG ACCFJ ACCMX ACESK ACGFS ACIWK ACXQS ADEYR AEEZP AEGXH AENEX AEQDE AFAZI AFKRA AIWBW AJBDE ALMA_UNASSIGNED_HOLDINGS ALUQN ARAPS AVUZU AZQEC BENPR BGLVJ BPHCQ CCPQU CS3 DU5 DWQXO EBS EJD ESX F8P GNUQQ GOZPB GROUPED_DOAJ GRPMH HCIFZ HZ~ IAO IFIPE IPLJI ITC JAVBF K1G K6V K7- L6V LAI M0N M43 M7S MCNEO MS~ NADUK NXXTH O9- OCL OK1 P62 PQQKQ PROAC PTHSS QWB RIE RNS ROL RUI U5U UNMZH ZL0 ~ZZ AAMMB AAYXX AEFGJ AFFHD AGXDD AIDQK AIDYY CITATION IDLOA IGS PHGZM PHGZT PQGLB WIN 7XB 8AL 8FK JQ2 PKEHL PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c4031-f118e76a33c1c5c339db3a304b55357a36f596dca3810052584a7374e3a8f91e3 |
| IEDL.DBID | 24P |
| ISICitedReferencesCount | 3 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001200726900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1751-8644 |
| IngestDate | Tue Oct 14 14:55:21 EDT 2025 Thu Nov 27 02:41:29 EST 2025 Wed Oct 29 21:23:48 EDT 2025 Tue Nov 18 22:27:20 EST 2025 Wed Jan 22 17:18:06 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 10 |
| Language | English |
| License | Attribution |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c4031-f118e76a33c1c5c339db3a304b55357a36f596dca3810052584a7374e3a8f91e3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-2014-3098 |
| OpenAccessLink | https://onlinelibrary.wiley.com/doi/abs/10.1049%2Fcth2.12661 |
| PQID | 3275615729 |
| PQPubID | 1936359 |
| PageCount | 14 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_96f1f28cee314e0c8fd524a44ecbb66e proquest_journals_3275615729 crossref_citationtrail_10_1049_cth2_12661 crossref_primary_10_1049_cth2_12661 wiley_primary_10_1049_cth2_12661_CTH212661 |
| PublicationCentury | 2000 |
| PublicationDate | July 2024 2024-07-00 20240701 2024-07-01 |
| PublicationDateYYYYMMDD | 2024-07-01 |
| PublicationDate_xml | – month: 07 year: 2024 text: July 2024 |
| PublicationDecade | 2020 |
| PublicationPlace | Stevenage |
| PublicationPlace_xml | – name: Stevenage |
| PublicationTitle | IET control theory & applications |
| PublicationYear | 2024 |
| Publisher | John Wiley & Sons, Inc Wiley |
| Publisher_xml | – name: John Wiley & Sons, Inc – name: Wiley |
| References | 2022; 595 2023; 53(9) 2023; 10 2023; 96 2018; 28 2019; 4 2019; 51 2019; 50 2023; 17 2017; 48 2023; 167 2023; 53(7) 2008; 17 1998 2020; 17 2002; 1 2005; 41 2022; 24 1997 2008 1996 2023; 148 2002; 115 2023; 147 2003; 39 2005 2017; 29 1992; 37 2004; 1 2021; 52 2023; 10(1) 2020; 4 2021; 31 2023; 44 2022; 2022 2021; 33 2023 2015; 60 2022 2000 2019 2009; 9 1999; 11 2023; 637 2024; 69 2003; 60 1996; 64 e_1_2_9_31_1 e_1_2_9_52_1 e_1_2_9_50_1 Rizvi S.A.A. (e_1_2_9_9_1) 2022 e_1_2_9_10_1 e_1_2_9_35_1 e_1_2_9_56_1 e_1_2_9_33_1 e_1_2_9_54_1 e_1_2_9_14_1 e_1_2_9_39_1 e_1_2_9_16_1 e_1_2_9_37_1 e_1_2_9_18_1 e_1_2_9_41_1 e_1_2_9_20_1 e_1_2_9_24_1 e_1_2_9_43_1 e_1_2_9_8_1 e_1_2_9_6_1 Zhou K. (e_1_2_9_2_1) 1998 e_1_2_9_26_1 e_1_2_9_28_1 e_1_2_9_47_1 Yan Y. (e_1_2_9_22_1) 2023 e_1_2_9_30_1 e_1_2_9_53_1 e_1_2_9_11_1 e_1_2_9_34_1 Roshanravan S. (e_1_2_9_12_1) 2022 e_1_2_9_13_1 e_1_2_9_32_1 e_1_2_9_55_1 Khalil H.K. (e_1_2_9_51_1) 2002 e_1_2_9_15_1 e_1_2_9_38_1 e_1_2_9_17_1 e_1_2_9_36_1 e_1_2_9_19_1 Bertsekas D. (e_1_2_9_4_1) 1996 e_1_2_9_42_1 Zhang H. (e_1_2_9_23_1) 2023 Parrilo P.A. (e_1_2_9_45_1) 2000 e_1_2_9_40_1 e_1_2_9_21_1 e_1_2_9_46_1 e_1_2_9_44_1 e_1_2_9_7_1 e_1_2_9_5_1 e_1_2_9_3_1 ApS M. (e_1_2_9_49_1) 2019 e_1_2_9_25_1 e_1_2_9_27_1 e_1_2_9_48_1 e_1_2_9_29_1 |
| References_xml | – volume: 44 start-page: 1341 issue: 3 year: 2023 end-page: 1355 article-title: Optimal control of unknown continuous time linear periodic systems by adaptive dynamic programming with applications to magnetic attitude control publication-title: Optim. Control Appl. Methods – volume: 595 start-page: 364 year: 2022 end-page: 377 article-title: Solution of the linear quadratic regulator problem of black box linear systems using reinforcement learning publication-title: Inf. Sci. – volume: 9 start-page: 32 issue: 3 year: 2009 end-page: 50 article-title: Reinforcement learning and adaptive dynamic programming for feedback control publication-title: IEEE Circuits Syst. Mag. – volume: 37 start-page: 770 issue: 6 year: 1992 end-page: 784 article-title: ‐gain analysis of nonlinear systems and nonlinear state feedback control publication-title: IEEE Trans. Autom. Control – year: 2005 – volume: 33 start-page: 7791 issue: 12 year: 2021 end-page: 7805 article-title: Observer‐based adaptive optimized control for stochastic nonlinear systems with input and state constraints publication-title: IEEE Trans. Neural Netw Learn. Syst. – volume: 53(7) start-page: 4393 year: 2023 end-page: 4403 article-title: Adaptive dynamic programming for nonlinear‐constrained control publication-title: IEEE Trans. Syst. Man Cybern. Syst. – volume: 148 year: 2023 article-title: Reinforcement learning and cooperative output regulation of linear continuous‐time multi‐agent systems publication-title: Automatica – year: 1998 – volume: 2022 start-page: 1 year: 2022 end-page: 11 article-title: A direct reinforcement learning approach for nonautonomous thermoacoustic generator publication-title: Math. Prob. Eng. – volume: 28 start-page: 5232 issue: 17 year: 2018 end-page: 5246 article-title: mixed stabilization of nonlinear parameter‐varying systems publication-title: Int. J. Robust Nonlinear Control – volume: 17 start-page: 367 issue: 1 year: 2020 end-page: 376 article-title: An adaptive dynamic programming scheme for nonlinear optimal control with unknown dynamics and its application to turbofan engines publication-title: IEEE Trans. Ind. Inf. – start-page: 1 year: 2022 end-page: 12 article-title: Adaptive fault‐tolerant tracking control for affine nonlinear systems with unknown dynamics via reinforcement learning publication-title: IEEE Trans. Autom. Sci. Eng. – volume: 17 start-page: 1443 issue: 11 year: 2023 end-page: 1457 article-title: Optimal consensus control for multi‐agent systems: Multi‐step policy gradient adaptive dynamic programming method publication-title: IET Control Theory Appl. – volume: 50 start-page: 4958 issue: 12 year: 2019 end-page: 4971 article-title: Continuous‐time time‐varying policy iteration publication-title: IEEE Trans. Cybern. – year: 2008 – year: 2022 – year: 1997 – volume: 24 start-page: 3022 issue: 6 year: 2022 end-page: 3031 article-title: Sum‐of‐squares‐based policy iteration for suboptimal control of polynomial time‐varying systems publication-title: Asian J. Control – start-page: 1 year: 2023 end-page: 13 article-title: Event‐triggered adaptive dynamic programming for hierarchical sliding‐mode surface‐based optimal control of switched nonlinear systems publication-title: IEEE Trans. Autom. Sci. Eng. – year: 2019 – volume: 10 start-page: 781 issue: 3 year: 2023 end-page: 791 article-title: Policy iteration for optimal control of discrete‐time time‐varying nonlinear systems publication-title: IEEE/CAA J. Autom. Sin. – start-page: 1 year: 2023 end-page: 12 article-title: Sliding mode control based on reinforcement learning for TS fuzzy fractional‐order multiagent system with time‐varying delays publication-title: IEEE Trans. Neural Netw. Learn. Syst. – volume: 39 start-page: 1531 issue: 9 year: 2003 end-page: 1542 article-title: Nonlinear ‐control of nonsmooth time‐varying systems with application to friction mechanical manipulators publication-title: Automatica – volume: 31 start-page: 1941 issue: 6 year: 2021 end-page: 1963 article-title: Hamiltonian‐driven adaptive dynamic programming for mixed / performance using sum‐of‐squares publication-title: Int. J. Robust Nonlinear Control – volume: 167 year: 2023 article-title: Distributed safe formation maneuver control of Euler–Lagrange multi‐agent systems in a partially unknown environment by safe reinforcement learning publication-title: Rob. Auton. Syst. – volume: 4 start-page: 686 issue: 3 year: 2020 end-page: 691 article-title: A safety‐certified policy iteration algorithm for control of constrained nonlinear systems publication-title: IEEE Control Syst. Lett. – volume: 50 start-page: 3959 issue: 11 year: 2019 end-page: 3971 article-title: Invariant adaptive dynamic programming for discrete‐time optimal control publication-title: IEEE Trans. Syst. Man Cybern. Syst. – volume: 148 year: 2023 article-title: Linear quadratic tracking control of unknown systems: A two‐phase reinforcement learning method publication-title: Automatica – volume: 41 start-page: 779 issue: 5 year: 2005 end-page: 791 article-title: Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach publication-title: Automatica – volume: 51 start-page: 2093 issue: 4 year: 2019 end-page: 2106 article-title: Relaxed stabilization and disturbance attenuation control synthesis conditions for polynomial fuzzy systems publication-title: IEEE Trans. Cybern. – volume: 147 year: 2023 article-title: Model‐free optimal control of discrete‐time systems with additive and multiplicative noises publication-title: Automatica – volume: 60 start-page: 2917 issue: 11 year: 2015 end-page: 2929 article-title: Global adaptive dynamic programming for continuous‐time nonlinear systems publication-title: IEEE Trans. Autom. Control – year: 1996 – volume: 637 year: 2023 article-title: Reinforcement learning based optimal synchronization control for multi‐agent systems with input constraints using vanishing viscosity method publication-title: Inf. Sci. – year: 2000 – volume: 11 start-page: 625 issue: 1–4 year: 1999 end-page: 653 article-title: Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones publication-title: Optim. Methods Softw. – volume: 115 year: 2002 – volume: 96 start-page: 1053 issue: 4 year: 2023 end-page: 1066 article-title: SOS‐based policy iteration for control of polynomial systems with uncertain parameters publication-title: Int. J. Control – volume: 48 start-page: 500 issue: 2 year: 2017 end-page: 509 article-title: Policy iteration for optimal control of polynomial nonlinear systems via sum of squares programming publication-title: IEEE Trans. Cybern. – volume: 29 start-page: 2042 issue: 6 year: 2017 end-page: 2062 article-title: Optimal and autonomous control using reinforcement learning: a survey publication-title: IEEE Trans. Neural Netw. Learn. Syst. – volume: 1 start-page: 157 year: 2004 end-page: 165 article-title: Nonlinear control synthesis by sum of squares optimization: A Lyapunov‐based approach – volume: 69 start-page: 629 issue: 1 year: 2024 end-page: 636 article-title: Learning‐based adaptive optimal control of linear time‐delay systems: A policy iteration approach publication-title: IEEE Trans. Autom. Control – volume: 52 start-page: 10101 issue: 10 year: 2021 end-page: 10110 article-title: codesign for uncertain nonlinear control systems based on policy iteration method publication-title: IEEE Trans. Cybern. – volume: 33 start-page: 6183 issue: 11 year: 2021 end-page: 6193 article-title: Data‐driven dynamic multiobjective optimal control: An aspiration‐satisfying reinforcement learning approach publication-title: IEEE Trans. Neural Netw. Learn. Syst. – volume: 4 start-page: 1 year: 2019 – start-page: 3182 year: 1997 end-page: 3187 article-title: Mixed / control for nonlinear time‐varying systems with application to robotic systems – volume: 10(1) start-page: 63 year: 2023 end-page: 74 article-title: Event‐triggered robust adaptive dynamic programming with output‐feedback for large‐scale systems publication-title: IEEE Trans. Control Network Syst. – volume: 60 start-page: 83 year: 2003 end-page: 99 – start-page: 1196 year: 2008 end-page: 1201 article-title: Nonlinear output feedback control for polynomial nonlinear systems – volume: 17 start-page: 911 issue: 4 year: 2008 end-page: 922 article-title: A sum‐of‐squares approach to modeling and control of nonlinear dynamical systems with polynomial fuzzy systems publication-title: IEEE Trans. Fuzzy Syst. – volume: 53(9) start-page: 5922 year: 2023 end-page: 5932 article-title: Approximate dynamic programming for event‐driven _ constrained control publication-title: IEEE Trans. Syst. Man Cybern. Syst. – volume: 64 start-page: 241 issue: 2 year: 1996 end-page: 262 article-title: ‐control of nonlinear time‐varying systems with finite time horizon publication-title: Int. J. Control – volume: 17 start-page: 223 issue: 2 year: 2023 end-page: 239 article-title: Model‐free adaptive optimal control of continuous‐time nonlinear non‐zero‐sum games based on reinforcement learning publication-title: IET Control Theory Appl. – volume: 1 start-page: 741 year: 2002 end-page: 746 article-title: Introducing SOSTOOLS: A general purpose sum of squares programming solver – ident: e_1_2_9_50_1 doi: 10.1007/978-0-8176-4757-5 – ident: e_1_2_9_29_1 doi: 10.1109/TCYB.2019.2957154 – ident: e_1_2_9_3_1 doi: 10.1109/9.256331 – start-page: 1 year: 2023 ident: e_1_2_9_23_1 article-title: Event‐triggered adaptive dynamic programming for hierarchical sliding‐mode surface‐based optimal control of switched nonlinear systems publication-title: IEEE Trans. Autom. Sci. Eng. – ident: e_1_2_9_48_1 doi: 10.1080/10556789908805766 – ident: e_1_2_9_47_1 doi: 10.1109/CDC.2002.1184594 – ident: e_1_2_9_15_1 doi: 10.1109/TSMC.2023.3247888 – ident: e_1_2_9_56_1 doi: 10.1017/CBO9780511815652 – ident: e_1_2_9_28_1 doi: 10.1109/TCYB.2016.2643687 – ident: e_1_2_9_6_1 doi: 10.1109/TAC.2023.3273786 – ident: e_1_2_9_27_1 doi: 10.1109/TSMC.2019.2911900 – ident: e_1_2_9_38_1 doi: 10.1002/asjc.2689 – ident: e_1_2_9_5_1 doi: 10.1109/MCAS.2009.933854 – ident: e_1_2_9_16_1 doi: 10.1049/cth2.12376 – ident: e_1_2_9_20_1 doi: 10.1109/TNNLS.2021.3087796 – ident: e_1_2_9_31_1 doi: 10.1002/rnc.5341 – volume-title: Output Feedback Reinforcement Learning Control for Linear Systems year: 2022 ident: e_1_2_9_9_1 – ident: e_1_2_9_21_1 doi: 10.1049/cth2.12473 – ident: e_1_2_9_39_1 doi: 10.1109/TII.2020.2979779 – start-page: 1 volume-title: User's Guide and Reference Manual, Version year: 2019 ident: e_1_2_9_49_1 – ident: e_1_2_9_44_1 – ident: e_1_2_9_52_1 doi: 10.1007/b96977 – ident: e_1_2_9_11_1 doi: 10.1016/j.robot.2023.104486 – volume-title: Neuro‐Dynamic Programming year: 1996 ident: e_1_2_9_4_1 – ident: e_1_2_9_35_1 doi: 10.1109/TCYB.2019.2926631 – ident: e_1_2_9_24_1 doi: 10.1002/oca.2801 – ident: e_1_2_9_53_1 doi: 10.1109/TFUZZ.2008.924341 – volume-title: Structured Semidefinite Programs and Semialgebraic Geometry Methods In Robustness and Optimization year: 2000 ident: e_1_2_9_45_1 – ident: e_1_2_9_18_1 doi: 10.1016/j.automatica.2004.11.034 – ident: e_1_2_9_33_1 doi: 10.1109/TNNLS.2021.3072571 – ident: e_1_2_9_42_1 doi: 10.1016/S0005-1098(03)00148-1 – ident: e_1_2_9_54_1 – ident: e_1_2_9_40_1 doi: 10.1080/00207179608921626 – ident: e_1_2_9_30_1 doi: 10.1080/00207179.2022.2027523 – ident: e_1_2_9_10_1 doi: 10.1016/j.ins.2023.118949 – volume-title: Nonlinear Systems year: 2002 ident: e_1_2_9_51_1 – ident: e_1_2_9_7_1 doi: 10.1016/j.automatica.2022.110761 – ident: e_1_2_9_19_1 doi: 10.1016/j.automatica.2022.110685 – start-page: 1 year: 2023 ident: e_1_2_9_22_1 article-title: Sliding mode control based on reinforcement learning for TS fuzzy fractional‐order multiagent system with time‐varying delays publication-title: IEEE Trans. Neural Netw. Learn. Syst. – ident: e_1_2_9_17_1 doi: 10.1016/j.ins.2022.03.004 – ident: e_1_2_9_34_1 doi: 10.1109/LCSYS.2020.2990632 – start-page: 1 year: 2022 ident: e_1_2_9_12_1 article-title: Adaptive fault‐tolerant tracking control for affine nonlinear systems with unknown dynamics via reinforcement learning publication-title: IEEE Trans. Autom. Sci. Eng. – ident: e_1_2_9_32_1 doi: 10.1109/TCYB.2021.3065995 – ident: e_1_2_9_46_1 doi: 10.1090/dimacs/060/08 – ident: e_1_2_9_55_1 doi: 10.1109/ACC.2008.4586655 – ident: e_1_2_9_37_1 doi: 10.1155/2022/6512906 – ident: e_1_2_9_41_1 doi: 10.23919/ECC.1997.7082600 – ident: e_1_2_9_25_1 doi: 10.1109/TNNLS.2017.2773458 – ident: e_1_2_9_43_1 doi: 10.1002/rnc.4304 – ident: e_1_2_9_36_1 doi: 10.1109/JAS.2023.123096 – ident: e_1_2_9_26_1 doi: 10.1109/TAC.2015.2414811 – ident: e_1_2_9_14_1 doi: 10.1109/TSMC.2023.3277737 – volume-title: Essentials of Robust Control year: 1998 ident: e_1_2_9_2_1 – ident: e_1_2_9_8_1 doi: 10.1109/TCNS.2022.3186623 – ident: e_1_2_9_13_1 doi: 10.1016/j.automatica.2022.110768 |
| SSID | ssj0055645 |
| Score | 2.4261374 |
| Snippet | This paper studies the H∞ control problem for polynomial time‐varying systems. The H∞ control problem has been much less investigated for time‐varying systems... This paper studies the H ∞ control problem for polynomial time‐varying systems. The H ∞ control problem has been much less investigated for time‐varying... Abstract This paper studies the H∞ control problem for polynomial time‐varying systems. The H∞ control problem has been much less investigated for time‐varying... |
| SourceID | doaj proquest crossref wiley |
| SourceType | Open Website Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1248 |
| SubjectTerms | Algorithms Approximation Attenuation coefficients Closed loop systems Control systems design Control theory convex programming Design Dynamic programming H-infinity control H∞ control Independent variables Iterative algorithms Neural networks non‐linear control systems Optimization Optimization techniques Partial differential equations Polynomials robust control Semidefinite programming Stability System theory |
| SummonAdditionalLinks | – databaseName: DOAJ Directory of Open Access Journals dbid: DOA link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrZ1LSwMxEMeDFA96EJ9YrRLQi8LaZvPY7FGLpafioUJvIZsHCqWVtha8efToJ_DD9ZOYx25pQfTibVnCEv6TZGbYzG8AuNQ6tR7qkmBLVEIKbRKpGEqscw2GEekyCBuaTWS9Hh8M8oeVVl_-TljEA0fhmjmzyKbcneUYEdNS3GqaEkmIUUXBmPGnbyvLq2QqnsHUM1JCKSRFCXcuvwKTkrypZk_pDfJ-ac0VBWL_Wpi5GqwGb9PZBTtlmAhv4_T2wIYZ7YPtFXjgAehEpC-MXGQnL3TxJ-wuPr5gef8cji18GQ_ffOWx-5hvI794_5zLiS9tgpHhPD0Ej537frublF0REkXcDkysSwlMxiTGCimqMM51gSVukYJSTDOJmaU500p6dpfvUsed4jgjBktuc2TwEaiNxiNzDKCSTkputMqkJpqnEmtriORGpggXhNXBVSWQUCUy3HeuGIrw65rkwospgph1cLEc-xJBGT-OuvM6L0d4uHV44UwuSpOLv0xeB43KSqLccVOBPcceUZcr1MF1sNwv0xDtfjcNTyf_MaFTsJW6WCfe4m2A2mzyas7ApprPnqeT87AyvwGfnOkd priority: 102 providerName: Directory of Open Access Journals – databaseName: ProQuest Central dbid: BENPR link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpZ1NaxQxGMcftPWgh9ZX3FoloBeF2GbyMpmT2NJlT0uRCr2FTF60UHbW3W2hN48e_QR-uH4S82QyfQHpxdswhBDmn-T5J5P8HoB33lcRoS6UR-GoaH2g1ilGYwoNQQmbVhAxJ5uop1N9fNwclg23ZTlWOcyJeaL2ncM98h2OnHImkxf8NP9BMWsU_l0tKTTuwzqSylI_X987mB5-GeZiiayUfCVSMqpT6B8ApaLZcavv1UeG8elWSMrk_lt286ZpzVFnvPm_7X0MG8Vvks99B3kC98LsKTy6QSF8BuOeDUx6wHLSiSQjSyaXv_6QcpCddJHMu9MLvMKcKsN89Jc_f5_bBd6RIj0Mevkcvo4PjvYntKRXoE6koUxjWluEWlnOHXPScd74llu-K1opuawtV1E2yjuLEDBMd6eTdLwWgVsdGxb4C1ibdbPwEoizshI6eFdbL7yuLPcxCKuDrRhvhRrB--ELG1fY45gC49Tkf-CiMaiGyWqM4O1V2XlP3PhnqT0U6qoEUrLzi27xzZRBZxoVWax08gGcibDrdPSpnVaI4NpWqTCC7UE7U4bu0lwLN4IPWfo7mmH2jyZVftq6u65X8LBKdqg_6LsNa6vFWXgND9z56mS5eFO67V9t3fdL priority: 102 providerName: ProQuest |
| Title | Policy iteration for H∞ control of polynomial time‐varying systems |
| URI | https://onlinelibrary.wiley.com/doi/abs/10.1049%2Fcth2.12661 https://www.proquest.com/docview/3275615729 https://doaj.org/article/96f1f28cee314e0c8fd524a44ecbb66e |
| Volume | 18 |
| WOSCitedRecordID | wos001200726900001&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: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 1751-8652 dateEnd: 20241231 omitProxy: false ssIdentifier: ssj0055645 issn: 1751-8644 databaseCode: DOA dateStart: 20210101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1751-8652 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0055645 issn: 1751-8644 databaseCode: P5Z dateStart: 20220101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Computer Science Database customDbUrl: eissn: 1751-8652 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0055645 issn: 1751-8644 databaseCode: K7- dateStart: 20220101 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1751-8652 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0055645 issn: 1751-8644 databaseCode: M7S dateStart: 20220101 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1751-8652 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0055645 issn: 1751-8644 databaseCode: BENPR dateStart: 20220101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVWIB databaseName: Wiley Online Library Free Content customDbUrl: eissn: 1751-8652 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0055645 issn: 1751-8644 databaseCode: WIN dateStart: 20130101 isFulltext: true titleUrlDefault: https://onlinelibrary.wiley.com providerName: Wiley-Blackwell – providerCode: PRVWIB databaseName: Wiley Online Library Open Access customDbUrl: eissn: 1751-8652 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0055645 issn: 1751-8644 databaseCode: 24P dateStart: 20130101 isFulltext: true titleUrlDefault: https://authorservices.wiley.com/open-science/open-access/browse-journals.html providerName: Wiley-Blackwell |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LaxRBEC5i4sEcfEtW49KgF4XW9HN6wIsJWVaEZdGIwUvT0w8Vwm7YXQPePHr0F_jj8kus7plZExBBvDTDUNMUVV1dX_d0fwXwOASeMqkLFUl6KpsQqfOa0YSpIWrpcAWRSrGJajIxx8f1dANe9HdhWn6I9YZbjowyX-cAd01bhQRBLTrRrz7xZyznlyuwxZio8pjmctrPwyrzpJTrkIpRg2m_JyeV9fPf315KR4W1_xLUvAhYS8YZ3fg_XW_C9Q5pkpft0LgFG3F2G7Yv8A_egVHLCkxaamX0EEEIS8bn33-S7gg7mSdyOj_5mi8vY2e5Ev35tx9nqAl2QFoa6OVdeDc6PDoY066wAvUSg5gmXFXESjshPPPKC1GHRjixJxulhKqc0EnVOniX6b9yoTuDThOVjMKZVLMo7sHmbD6LO0C8U1yaGHzlggyGOxFSlM5Ex5lopB7Ak96-1nes47n4xYktf79lbbNtbLHNAB6tZU9bro0_Su1nN60lMj92eTFffLRduNlaJ5a4QQQgmIx73qSAejopo28areMAdnsn2y5ol1ZkKnymcLkxgKfFnX9Rwx4cjXl5uv8vwg_gGkdY1B743YXN1eJLfAhX_dnq83IxLAN4CFv7h5Ppm2HZH8D2dUWH-UzqW2yn6gO2719NfgGyGfpj |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3dThQxFD7BxUS48N-4iNpEvdCkYn9n5sIYQTZLwA0xa8Jd6fQHSWBn2V0x3HnppU_gI_hQPIltZwYhMdxx4d2kaZrOnK_nfJ32fAfgubXUR1EXzDw3mJfWYW0kwT6EBie5DjsIn4pNZINBvrNTbM_B7zYXJl6rbH1ictS2MvEf-QqLOuVEBC74bnyEY9WoeLraltCoYbHpTr6FLdv07caHYN8XlPbWh2t93FQVwIYHBGMfKLXLpGbMECMMY4UtmQ67-lIIJjLNpBeFtEZH7atY5S0PM2YZd0znviCOhXGvwTxnXIoOzK-uD7Y_tb5fRG2WlIIpCM4D1WgFUXmxYmZf6GsS4-GFEJgqBVygt-dJcopyvVv_2_e5DTcbPo3e1wvgDsy50V1YPKeyeA96tfYxqgWkAw5RIOqof_rjF2ou6qPKo3F1cBJTtMNgs_1Dd_r957GexBwwVItdT-_D5yt5kQfQGVUj9xCQ0YLy3FmTacttTjWz3nGdO00JK7nswsvWoso02uqxxMeBSmf8vFDR-ipZvwvPzvqOa0WRf_ZajcA46xFVwFNDNdlTjVNRhfTE0zzwHEa4e2Nyb8M8NefOlKWUrgvLLVZU45qm6i9QuvAqQe2Saai1YZ-mp6XLx3oKN_rDj1tqa2Ow-QgWaKB-9aXmZejMJl_dY7hujmf708mTZskg2L1qFP4BShZQzw |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpZ1faxQxEMAHrSL6YKtWPG01UF8U1jabSTb7qLXHlZajDxX7FrL5o0K5O-7Ogm997KOfwA_XT2Imu3e2IIL0bVmyy5DJZGZ2J78BeO19GQnqUoiIrsDGh8I6xYuYXENQaFMGEXOziWo41Ccn9VFXm0NnYVo-xPKDG1lG3q_JwMPExzbhRIJkuvnX8h0nB3Mb7mAKxKmi6_P-cLERSwKl5POQkhc6-f0FnRTr7T_PXvNHGdt_Lda8GrFml9NfvaGwa_CwizXZ-3ZxPIJbYfQYHlwhED6BfssFZi1cOemIpSCWDS4vfrGuiJ2NI5uMT3_Q8eX0MupFf3n-8yyJkl7AWhD0bB0-9feOdwdF11qhcJjMuIgprwiVskI47qQTovaNsGIHGymFrKxQUdbKO0sAMGp1p5PaRIVBWB1rHsRTWBmNR-EZMGdliTp4V1mPXpdW-BjQ6mBLLhpUPXizmGDjOu44tb84Nfn_N9aG5sbkuenB1nLspKVt_HXUB9LTcgQRsvON8fSL6QzO1CryWOoUAwiOYcfp6JOcFjG4plEq9GBjoWXTme3MCILhc5kSjh68zfr8hxhm93hQ5qvn_zP4Fdw7-tg3h_vDgxdwv0wxUlv9uwEr8-n3sAl33dn822z6Mi_m38EQ99I |
| 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=Policy+iteration+for+H%E2%88%9E+control+of+polynomial+time%E2%80%90varying+systems&rft.jtitle=IET+control+theory+%26+applications&rft.au=Pakkhesal%2C+Sajjad&rft.au=Shamaghdari%2C+Saeed&rft.date=2024-07-01&rft.issn=1751-8644&rft.eissn=1751-8652&rft.volume=18&rft.issue=10&rft.spage=1248&rft.epage=1261&rft_id=info:doi/10.1049%2Fcth2.12661&rft.externalDBID=10.1049%252Fcth2.12661&rft.externalDocID=CTH212661 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1751-8644&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1751-8644&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1751-8644&client=summon |