Robust Optimal Control for the Vehicle Suspension System With Uncertainties
The suspension system is an important unit that affects vehicle performance, including handling stability and riding comfort. In order to improve vehicle performances, a novel robust optimal control strategy for the active suspension system in vehicles is proposed. To handle the parameter uncertaint...
Saved in:
Published in | IEEE transactions on cybernetics Vol. 52; no. 9; pp. 9263 - 9273 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
United States
IEEE
01.09.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | The suspension system is an important unit that affects vehicle performance, including handling stability and riding comfort. In order to improve vehicle performances, a novel robust optimal control strategy for the active suspension system in vehicles is proposed. To handle the parameter uncertainties and external random disturbances, the proposed optimal control strategy is designed by using the combination of the linear quadratic regulator (LQR) optimal control and sliding-mode control. First, by using the nominal model of the active suspension system without the uncertain parameters and the external random disturbances, an optimal control performance index is given, and the initial optimal controller is designed by using the LQR control strategy. Then, to handle the parameter uncertainties and the external disturbances, a robust optimal integral sliding-mode control strategy based on the initial optimal controller is designed, which not only can achieve the optimal control objective but also has good robustness to the uncertain parameters and external disturbances. By using the Lyapunov stability theory, stability analysis of the proposed robust optimal integral sliding-mode control strategy is performed. Finally, the collaborative simulation platform based on the Carsim and MATLAB/Simulink is developed. The simulation results illustrate the advantage of the proposed robust optimal control strategy for the suspension system. |
---|---|
AbstractList | The suspension system is an important unit that affects vehicle performance, including handling stability and riding comfort. In order to improve vehicle performances, a novel robust optimal control strategy for the active suspension system in vehicles is proposed. To handle the parameter uncertainties and external random disturbances, the proposed optimal control strategy is designed by using the combination of the linear quadratic regulator (LQR) optimal control and sliding-mode control. First, by using the nominal model of the active suspension system without the uncertain parameters and the external random disturbances, an optimal control performance index is given, and the initial optimal controller is designed by using the LQR control strategy. Then, to handle the parameter uncertainties and the external disturbances, a robust optimal integral sliding-mode control strategy based on the initial optimal controller is designed, which not only can achieve the optimal control objective but also has good robustness to the uncertain parameters and external disturbances. By using the Lyapunov stability theory, stability analysis of the proposed robust optimal integral sliding-mode control strategy is performed. Finally, the collaborative simulation platform based on the Carsim and MATLAB/Simulink is developed. The simulation results illustrate the advantage of the proposed robust optimal control strategy for the suspension system. The suspension system is an important unit that affects vehicle performance, including handling stability and riding comfort. In order to improve vehicle performances, a novel robust optimal control strategy for the active suspension system in vehicles is proposed. To handle the parameter uncertainties and external random disturbances, the proposed optimal control strategy is designed by using the combination of the linear quadratic regulator (LQR) optimal control and sliding-mode control. First, by using the nominal model of the active suspension system without the uncertain parameters and the external random disturbances, an optimal control performance index is given, and the initial optimal controller is designed by using the LQR control strategy. Then, to handle the parameter uncertainties and the external disturbances, a robust optimal integral sliding-mode control strategy based on the initial optimal controller is designed, which not only can achieve the optimal control objective but also has good robustness to the uncertain parameters and external disturbances. By using the Lyapunov stability theory, stability analysis of the proposed robust optimal integral sliding-mode control strategy is performed. Finally, the collaborative simulation platform based on the Carsim and MATLAB/Simulink is developed. The simulation results illustrate the advantage of the proposed robust optimal control strategy for the suspension system.The suspension system is an important unit that affects vehicle performance, including handling stability and riding comfort. In order to improve vehicle performances, a novel robust optimal control strategy for the active suspension system in vehicles is proposed. To handle the parameter uncertainties and external random disturbances, the proposed optimal control strategy is designed by using the combination of the linear quadratic regulator (LQR) optimal control and sliding-mode control. First, by using the nominal model of the active suspension system without the uncertain parameters and the external random disturbances, an optimal control performance index is given, and the initial optimal controller is designed by using the LQR control strategy. Then, to handle the parameter uncertainties and the external disturbances, a robust optimal integral sliding-mode control strategy based on the initial optimal controller is designed, which not only can achieve the optimal control objective but also has good robustness to the uncertain parameters and external disturbances. By using the Lyapunov stability theory, stability analysis of the proposed robust optimal integral sliding-mode control strategy is performed. Finally, the collaborative simulation platform based on the Carsim and MATLAB/Simulink is developed. The simulation results illustrate the advantage of the proposed robust optimal control strategy for the suspension system. |
Author | Wang, He-Bin Bai, Rui |
Author_xml | – sequence: 1 givenname: Rui orcidid: 0000-0003-2004-7431 surname: Bai fullname: Bai, Rui email: broffice@126.com organization: School of Electrical Engineering, Liaoning University of Technology, Jinzhou, China – sequence: 2 givenname: He-Bin surname: Wang fullname: Wang, He-Bin email: 84776242@qq.com organization: School of Electrical Engineering, Liaoning University of Technology, Jinzhou, China |
BackLink | https://www.ncbi.nlm.nih.gov/pubmed/33606652$$D View this record in MEDLINE/PubMed |
BookMark | eNp9kU9rGzEQxUVIaP7UH6AUiiCXXOxKI612dWxM0pYYDLXdkpNYy2OssJYcSXvIt6-MXR9yqC6jw--9Gd67Juc-eCTkE2cjzpn-Oh8_34-AAR8JVkHD1Rm5Aq6aIUBdnZ_-qr4kg5ReWHkFanTzgVwKoZhSFVyRp19h2adMp7vstm1Hx8HnGDq6DpHmDdLfuHG2Qzrr0w59csHT2VvKuKV_XN7QhbcYc-t8dpg-kot12yUcHOcNWTw-zMc_hpPp95_jb5OhFVLn4ZJpCYi1FrzmYEWFatWuW1xKKZm0jQWpKiFgJRrG9EoyAagk01xJzUFYcUPuDr67GF57TNlsXbLYda3H0CcDhdPFSvGC3r5DX0IffbnOQM2KaaOBFerLkeqXW1yZXSxZxDfzL6YC8ANgY0gp4vqEcGb2bZh9G2bfhjm2UTT1O411uc1uH3Druv8qPx-UDhFPm7SodCVA_AXBxJPH |
CODEN | ITCEB8 |
CitedBy_id | crossref_primary_10_1109_TASE_2024_3439705 crossref_primary_10_1177_09544070211061031 crossref_primary_10_1109_ACCESS_2024_3468912 crossref_primary_10_1177_09596518221126584 crossref_primary_10_1109_TCYB_2024_3358739 crossref_primary_10_1007_s12206_024_0409_1 crossref_primary_10_1016_j_energy_2023_128990 crossref_primary_10_1016_j_sysconle_2025_106063 crossref_primary_10_1007_s11012_024_01827_w crossref_primary_10_1177_00202940241281454 crossref_primary_10_3390_app14083140 crossref_primary_10_1109_TEC_2024_3419592 crossref_primary_10_1007_s12206_022_0501_3 crossref_primary_10_1016_j_neucom_2024_127631 crossref_primary_10_1088_1742_6596_2896_1_012008 crossref_primary_10_1109_TIV_2023_3274536 crossref_primary_10_3390_s24020600 crossref_primary_10_1177_09574565241306315 crossref_primary_10_1002_rnc_7687 crossref_primary_10_1155_2023_2889435 crossref_primary_10_1109_TSMC_2023_3277439 crossref_primary_10_1109_TSMC_2024_3443996 crossref_primary_10_3390_fractalfract8100610 crossref_primary_10_3390_s24061757 crossref_primary_10_1109_TVT_2023_3279460 crossref_primary_10_1177_09544070241272795 crossref_primary_10_1109_TMECH_2024_3393500 crossref_primary_10_1177_10775463241285948 crossref_primary_10_1007_s11768_024_00206_w crossref_primary_10_1007_s41315_023_00312_z crossref_primary_10_1038_s41598_024_56202_2 crossref_primary_10_3390_wevj13120226 crossref_primary_10_1007_s40430_025_05384_5 crossref_primary_10_1371_journal_pone_0313104 crossref_primary_10_21595_jve_2024_23953 crossref_primary_10_1109_TCYB_2024_3410283 crossref_primary_10_1109_TSMC_2023_3282073 crossref_primary_10_1109_TSMC_2024_3351121 crossref_primary_10_1177_0309524X251317188 crossref_primary_10_1177_0309524X241229403 crossref_primary_10_1177_09544070251317607 crossref_primary_10_1002_adts_202300442 |
Cites_doi | 10.1109/TMECH.2012.2204765 10.1109/TCYB.2018.2864776 10.1109/TCYB.2018.2850760 10.1109/TIE.2019.2893847 10.1177/1077546313514760 10.1109/TIE.2010.2046581 10.1109/TIE.2012.2190372 10.1109/TIE.2012.2202354 10.1016/j.mechatronics.2009.03.009 10.1016/j.ymssp.2016.11.012 10.1109/TPEL.2018.2839060 10.1109/TCYB.2016.2581173 10.1109/TSMCB.2003.808176 10.1109/TITS.2010.2053358 10.1109/TCYB.2019.2891960 10.1109/TAC.2016.2588885 10.1109/TIE.2019.2937037 10.1109/9.956050 10.1109/TCST.2015.2420674 10.1109/TVT.2016.2604759 10.1080/00423111003602376 10.1016/j.isatra.2014.05.025 10.1109/TAC.2016.2605043 10.1109/TAC.2002.803539 10.1109/TCYB.2019.2894724 10.1109/TIE.2012.2206340 10.1109/TMECH.2016.2542362 10.1109/TIE.2008.924912 10.1109/TSMCB.2009.2030495 10.1504/IJVNV.2009.029195 10.1109/TIE.2017.2772182 10.1109/TFUZZ.2020.3006576 10.1109/TIE.2013.2242418 10.1016/j.mechatronics.2006.06.002 |
ContentType | Journal Article |
Copyright | Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022 |
Copyright_xml | – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022 |
DBID | 97E RIA RIE AAYXX CITATION NPM 7SC 7SP 7TB 8FD F28 FR3 H8D JQ2 L7M L~C L~D 7X8 |
DOI | 10.1109/TCYB.2021.3052816 |
DatabaseName | IEEE Xplore (IEEE) IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef PubMed Computer and Information Systems Abstracts Electronics & Communications Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database ANTE: Abstracts in New Technology & Engineering Engineering Research Database Aerospace Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional MEDLINE - Academic |
DatabaseTitle | CrossRef PubMed Aerospace Database Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace ANTE: Abstracts in New Technology & Engineering Computer and Information Systems Abstracts Professional MEDLINE - Academic |
DatabaseTitleList | Aerospace Database PubMed MEDLINE - Academic |
Database_xml | – sequence: 1 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 2 dbid: RIE name: IEEE Electronic Library (IEL) url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/ sourceTypes: Publisher |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Sciences (General) |
EISSN | 2168-2275 |
EndPage | 9273 |
ExternalDocumentID | 33606652 10_1109_TCYB_2021_3052816 9359532 |
Genre | orig-research Journal Article |
GrantInformation_xml | – fundername: Program for Liaoning Innovative Talent in University grantid: LR2019033 funderid: 10.13039/501100012591 – fundername: Special Foundation of the Ministry of Science and Technology of China grantid: 2020JH6/10500050 – fundername: Natural Science Foundation of Liaoning Province grantid: 2020-KF-12-10 funderid: 10.13039/501100005047 – fundername: Foundation of Liaoning Province grantid: 2020JH6/10500050 – fundername: National Natural Science Foundation of China grantid: 61773189 funderid: 10.13039/501100001809 |
GroupedDBID | 0R~ 4.4 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACIWK AENEX AGQYO AGSQL AHBIQ AKJIK AKQYR ALMA_UNASSIGNED_HOLDINGS ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ EBS EJD HZ~ IFIPE IPLJI JAVBF M43 O9- OCL PQQKQ RIA RIE RNS AAYXX CITATION RIG NPM 7SC 7SP 7TB 8FD F28 FR3 H8D JQ2 L7M L~C L~D 7X8 |
ID | FETCH-LOGICAL-c349t-b0942ee7931712c35e6dafaeb44404c8c2465332d38009d4032e64091649123c3 |
IEDL.DBID | RIE |
ISSN | 2168-2267 2168-2275 |
IngestDate | Fri Jul 11 05:31:04 EDT 2025 Sun Jun 29 16:46:25 EDT 2025 Thu Jan 02 22:56:26 EST 2025 Thu Apr 24 23:07:11 EDT 2025 Tue Jul 01 00:53:58 EDT 2025 Wed Aug 27 02:22:58 EDT 2025 |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 9 |
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-c349t-b0942ee7931712c35e6dafaeb44404c8c2465332d38009d4032e64091649123c3 |
Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 |
ORCID | 0000-0003-2004-7431 |
PMID | 33606652 |
PQID | 2704098920 |
PQPubID | 85422 |
PageCount | 11 |
ParticipantIDs | crossref_primary_10_1109_TCYB_2021_3052816 proquest_journals_2704098920 ieee_primary_9359532 pubmed_primary_33606652 crossref_citationtrail_10_1109_TCYB_2021_3052816 proquest_miscellaneous_2491940461 |
ProviderPackageCode | CITATION AAYXX |
PublicationCentury | 2000 |
PublicationDate | 2022-09-01 |
PublicationDateYYYYMMDD | 2022-09-01 |
PublicationDate_xml | – month: 09 year: 2022 text: 2022-09-01 day: 01 |
PublicationDecade | 2020 |
PublicationPlace | United States |
PublicationPlace_xml | – name: United States – name: Piscataway |
PublicationTitle | IEEE transactions on cybernetics |
PublicationTitleAbbrev | TCYB |
PublicationTitleAlternate | IEEE Trans Cybern |
PublicationYear | 2022 |
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 | ref13 ref35 ref12 ref15 ref14 ref31 ref30 ref11 ref33 ref10 ref32 ref2 ref1 ref17 ref16 ref19 ref18 Yang (ref34) 2001; 84 ref24 ref23 ref26 ref25 ref20 ref22 ref21 ref28 ref27 ref29 ref8 ref7 ref9 ref4 ref3 ref6 ref5 |
References_xml | – ident: ref5 doi: 10.1109/TMECH.2012.2204765 – ident: ref18 doi: 10.1109/TCYB.2018.2864776 – ident: ref28 doi: 10.1109/TCYB.2018.2850760 – ident: ref20 doi: 10.1109/TIE.2019.2893847 – ident: ref6 doi: 10.1177/1077546313514760 – ident: ref13 doi: 10.1109/TIE.2010.2046581 – ident: ref14 doi: 10.1109/TIE.2012.2190372 – ident: ref17 doi: 10.1109/TIE.2012.2202354 – ident: ref12 doi: 10.1016/j.mechatronics.2009.03.009 – ident: ref23 doi: 10.1016/j.ymssp.2016.11.012 – ident: ref30 doi: 10.1109/TPEL.2018.2839060 – volume: 84 start-page: 795 issue: 4 year: 2001 ident: ref34 article-title: Optimal admission control for multi-class of wireless adaptive multimedia services publication-title: IEICE Trans. Commun. – ident: ref32 doi: 10.1109/TCYB.2016.2581173 – ident: ref33 doi: 10.1109/TSMCB.2003.808176 – ident: ref16 doi: 10.1109/TITS.2010.2053358 – ident: ref24 doi: 10.1109/TCYB.2019.2891960 – ident: ref7 doi: 10.1109/TAC.2016.2588885 – ident: ref19 doi: 10.1109/TIE.2019.2937037 – ident: ref26 doi: 10.1109/9.956050 – ident: ref29 doi: 10.1109/TCST.2015.2420674 – ident: ref21 doi: 10.1109/TVT.2016.2604759 – ident: ref2 doi: 10.1080/00423111003602376 – ident: ref4 doi: 10.1016/j.isatra.2014.05.025 – ident: ref31 doi: 10.1109/TAC.2016.2605043 – ident: ref25 doi: 10.1109/TAC.2002.803539 – ident: ref1 doi: 10.1109/TCYB.2019.2894724 – ident: ref8 doi: 10.1109/TIE.2012.2206340 – ident: ref22 doi: 10.1109/TMECH.2016.2542362 – ident: ref15 doi: 10.1109/TIE.2008.924912 – ident: ref27 doi: 10.1109/TSMCB.2009.2030495 – ident: ref3 doi: 10.1504/IJVNV.2009.029195 – ident: ref9 doi: 10.1109/TIE.2017.2772182 – ident: ref35 doi: 10.1109/TFUZZ.2020.3006576 – ident: ref10 doi: 10.1109/TIE.2013.2242418 – ident: ref11 doi: 10.1016/j.mechatronics.2006.06.002 |
SSID | ssj0000816898 |
Score | 2.554155 |
Snippet | The suspension system is an important unit that affects vehicle performance, including handling stability and riding comfort. In order to improve vehicle... |
SourceID | proquest pubmed crossref ieee |
SourceType | Aggregation Database Index Database Enrichment Source Publisher |
StartPage | 9263 |
SubjectTerms | Active control Control systems design Controllers Disturbances Integral sliding-mode control Linear quadratic regulator linear quadratic regulator (LQR) Mathematical model Optimal control Parameter uncertainty Performance indices Robust control robust optimal control Sliding mode control Stability analysis suspension system Suspension systems Suspensions (mechanical systems) Tires uncertainties Uncertainty Vehicle dynamics |
Title | Robust Optimal Control for the Vehicle Suspension System With Uncertainties |
URI | https://ieeexplore.ieee.org/document/9359532 https://www.ncbi.nlm.nih.gov/pubmed/33606652 https://www.proquest.com/docview/2704098920 https://www.proquest.com/docview/2491940461 |
Volume | 52 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3BbtQwEB2VHlAvQCnQlFIZiQMgsk1sb3Z9hBVVBSpI0IVyimxnolalScUmF76eGccbiQoQt0ixndgztt_YM28Anhk_V7kq6jS3GlOdO5cazHyKNrOzyhdoMo4dPvlQHC_1u7Pp2Qa8GmNhEDE4n-GEH8NdftX6no_KDkMUqaIF9xYZbkOs1nieEhJIhNS3kh5SQhWzeImZZ-bwdPHtDRmDMp-QfksqugW3lWLwPpW_7Ughxcrf0WbYdY7uwsn6fwdnk8tJ37mJ_3mDyvF_O3QP7kT4KV4P-rING9jch-04wVfieWShfrED7z-1rl914iOtKVdUZTH4tAsCuYJAo_iC59yE-NyvrtkJvm3EwH4uvl5052JJ7QVnAyZsfQDLo7eni-M0Zl5IvdKmSx0ZfRKR5m4-y6VXUywqW1t0mukE_dxLpmVTslKEN02lMyWxIEuRbC9DW6FXD2GzaRvcBeGmsmbQYTXZvy6vrWLUVCnUzua6LhLI1qNf-khLztkxvpfBPMlMybIrWXZllF0CL8cq1wMnx78K7_C4jwXjkCewvxZxGWftqpQzWtLM3Mgsgafja5pvfIliG2x7KkM9NJpp6hN4NKjG2PZao_b-_M3HsCU5eCJ4qO3DZvejxycEaTp3EHT5F0ug7N4 |
linkProvider | IEEE |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwzV3BbtQwEB2VIkEvQCmUQAEjgQRI2Sa2k10fOMBCtWXbIsFuKac0diYqAjYVSYTgW_gV_o2x440EAm6VuFmK7cj2ePzGnnkDcF-ZkYhFWoZxLjGUsdahwsiEmEf5sDApqsjGDu8fpJO5fHmUHK3A9z4WBhGd8xkObNG95ReVae1V2baLIhXcu1BO8esXMtDqJ7vPaTUfcL7zYjaehD6HQGiEVE2oyXzhiCSF8TDmRiSYFnmZo5aWGM-MDLcEY4IXgpCTKmQkOKZk85AVoUipG0H9noPzhDMS3kWH9Tc4LmWFS7bLqRASjhn6Z9M4Utuz8btnZH7yeEA7ilPVNbgghDUXEv7LGeiSuvwd37pzbucy_FjOUOfe8mHQNnpgvv1GHvm_TuEVuOQBNnva7Yh1WMHFVVj3KqxmDz3P9qMNmL6udFs37BVpzU_UZNx57TOC8YxgMTvEE9sFe9PWp9bNv1qwjt-dvX3fnLA59efcKSwl7TWYn8mgrsPqolrgDWA64aWFVbkkC1_HZS4sLiwESp3HskwDiJarnRlPvG7zf3zMnAEWqczKSmZlJfOyEsDjvslpxzryr8obdp37in6JA9hailTm9VKd8SEpbTVSPArgXv-ZNIp9JsoXWLVUh0aopCXiD2CzE8W-76UE3_zzP-_Cxclsfy_b2z2Y3oI1bkNFnD_eFqw2n1u8TQCu0XfcPmJwfNZS9xMcXkX- |
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=Robust+Optimal+Control+for+the+Vehicle+Suspension+System+With+Uncertainties&rft.jtitle=IEEE+transactions+on+cybernetics&rft.au=Bai%2C+Rui&rft.au=He-Bin%2C+Wang&rft.date=2022-09-01&rft.pub=The+Institute+of+Electrical+and+Electronics+Engineers%2C+Inc.+%28IEEE%29&rft.issn=2168-2267&rft.eissn=2168-2275&rft.volume=52&rft.issue=9&rft.spage=9263&rft_id=info:doi/10.1109%2FTCYB.2021.3052816&rft.externalDBID=NO_FULL_TEXT |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2168-2267&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2168-2267&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2168-2267&client=summon |