Sliding mode observer for estimating states and faults of linear time-delay systems with outputs subject to delays
In this paper, we study the problem of estimating states and faults for a class of linear time-delay systems using sliding mode observers. Both the states and outputs are subject to constant delays. This is a challenging problem and has not yet been resolved in the literature. By appropriately using...
Saved in:
| Published in | Automatica (Oxford) Vol. 124; p. 109274 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.02.2021
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0005-1098 |
| DOI | 10.1016/j.automatica.2020.109274 |
Cover
| Abstract | In this paper, we study the problem of estimating states and faults for a class of linear time-delay systems using sliding mode observers. Both the states and outputs are subject to constant delays. This is a challenging problem and has not yet been resolved in the literature. By appropriately using a system transformation and the H∞ filtering method, we propose a novel sliding mode observer scheme which can guarantee H∞ asymptotic stability of the state and fault estimation errors. A numerical example is provided to illustrate the effectiveness of the new result. |
|---|---|
| AbstractList | In this paper, we study the problem of estimating states and faults for a class of linear time-delay systems using sliding mode observers. Both the states and outputs are subject to constant delays. This is a challenging problem and has not yet been resolved in the literature. By appropriately using a system transformation and the H∞ filtering method, we propose a novel sliding mode observer scheme which can guarantee H∞ asymptotic stability of the state and fault estimation errors. A numerical example is provided to illustrate the effectiveness of the new result. |
| ArticleNumber | 109274 |
| Author | Tan, Chee Pin Nguyen, Cuong M. Trinh, Hieu |
| Author_xml | – sequence: 1 givenname: Cuong M. surname: Nguyen fullname: Nguyen, Cuong M. email: mc.nguyen@deakin.edu.au organization: School of Engineering, Deakin University, Geelong, VIC 3217, Australia – sequence: 2 givenname: Chee Pin surname: Tan fullname: Tan, Chee Pin email: tan.chee.pin@monash.edu organization: School of Engineering and Advanced Engineering Platform, Monash University Malaysia, 46150 Selangor, Malaysia – sequence: 3 givenname: Hieu surname: Trinh fullname: Trinh, Hieu email: hieu.trinh@deakin.edu.au organization: School of Engineering, Deakin University, Geelong, VIC 3217, Australia |
| BookMark | eNqNkM9OwzAMh3MYEtvgHfICHUmbtukFCSb-SUgcgHOUpg6k6popTof29mQMCYkLnCzbP3-SvwWZjX4EQihnK854ddGv9BT9Rkdn9Cpn-WHc5LWYkTljrMxSJ0_JArFPreAyn5PwPLjOjW904zugvkUIOwjU-kABozuw0hKjjoBUjx21ehoiUm_p4EbQgaYQZB0Mek9xjxE2SD9cfKd-itspJXFqezCRRk-_UnhGTqweEM6_65K83t68rO-zx6e7h_XVY2YKLmNmG1tbIbQQRSU0GF4ymefWVqZmQlrLmLSyqm1byKoyDa9zC6wuuqJtmrIoRbEkl0euCR4xgFXGpT-cH2PQblCcqYM11asfa-pgTR2tJYD8BdiGZCTs_3N6fTyF9ODOQVBoHIwGOheSDNV59zfkE9zMlIk |
| CitedBy_id | crossref_primary_10_1002_acs_3987 crossref_primary_10_1007_s12555_020_0750_9 crossref_primary_10_1016_j_isatra_2025_02_012 crossref_primary_10_1016_j_isatra_2025_01_037 crossref_primary_10_1002_acs_3324 crossref_primary_10_1007_s12555_020_0920_9 crossref_primary_10_1016_j_asr_2025_02_051 crossref_primary_10_1002_acs_3740 crossref_primary_10_1002_oca_2958 crossref_primary_10_1002_rnc_6371 crossref_primary_10_1007_s00034_024_02686_2 crossref_primary_10_1109_TCSII_2021_3107244 crossref_primary_10_1177_09596518221083729 crossref_primary_10_3390_pr11010121 crossref_primary_10_1080_00207179_2024_2392824 crossref_primary_10_3390_s24051561 crossref_primary_10_1002_acs_3917 crossref_primary_10_1109_TCYB_2023_3245125 crossref_primary_10_1007_s11071_021_07080_0 crossref_primary_10_1002_acs_3934 crossref_primary_10_1016_j_nahs_2023_101445 crossref_primary_10_3390_drones6090220 crossref_primary_10_1016_j_fss_2021_07_003 crossref_primary_10_1109_TAC_2023_3243536 crossref_primary_10_1109_TVT_2023_3249832 crossref_primary_10_1109_TCSII_2022_3166677 crossref_primary_10_1002_asjc_2955 |
| Cites_doi | 10.1016/j.automatica.2019.04.027 10.1109/TAC.2017.2720972 10.1016/j.automatica.2019.108720 10.1016/j.automatica.2017.01.027 10.1016/j.jfranklin.2015.09.006 10.1049/iet-cta.2018.6248 10.1002/rnc.4345 10.1016/j.jfranklin.2019.01.044 10.1016/j.automatica.2019.108756 10.1016/j.jfranklin.2013.04.004 10.1016/j.automatica.2017.11.033 |
| ContentType | Journal Article |
| Copyright | 2020 Elsevier Ltd |
| Copyright_xml | – notice: 2020 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.automatica.2020.109274 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| ExternalDocumentID | 10_1016_j_automatica_2020_109274 S0005109820304738 |
| GrantInformation_xml | – fundername: Fundamental Research Grant Scheme (FRGS) grantid: FRGS/1/2017/STG06/ MUSM/02/1 |
| 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 ABXDB ACBEA ACDAQ ACGFO ACGFS ACNNM ACRLP ADBBV ADEZE ADIYS ADMUD ADTZH AEBSH AECPX AEFWE AEKER AENEX AFFNX AFJKZ AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHPGS AI. AIEXJ AIKHN AITUG AJOXV AKRWK ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ 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. 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 AATTM AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFPUW AGQPQ AIGII AIIUN AKBMS AKYEP ANKPU APXCP CITATION EFKBS EFLBG ~HD |
| ID | FETCH-LOGICAL-c318t-f9f7f44a44364aec150822ff6c7048ff008f867fb3866c9172fe073d3b9953543 |
| IEDL.DBID | .~1 |
| ISSN | 0005-1098 |
| IngestDate | Wed Oct 01 05:22:29 EDT 2025 Thu Apr 24 23:12:57 EDT 2025 Tue Oct 01 07:16:37 EDT 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Sliding mode observer Fault estimation Output delay Time-delay system H∞ filtering |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c318t-f9f7f44a44364aec150822ff6c7048ff008f867fb3866c9172fe073d3b9953543 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_automatica_2020_109274 crossref_primary_10_1016_j_automatica_2020_109274 elsevier_sciencedirect_doi_10_1016_j_automatica_2020_109274 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | February 2021 2021-02-00 |
| PublicationDateYYYYMMDD | 2021-02-01 |
| PublicationDate_xml | – month: 02 year: 2021 text: February 2021 |
| PublicationDecade | 2020 |
| PublicationTitle | Automatica (Oxford) |
| PublicationYear | 2021 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Wang, Tan, Zhou (b13) 2017; 79 You, Li, Wang, Guan (b14) 2015; 352 Han, Fridman, Spurgeon (b4) 2014; 351 Zheng, Polyakov, Levant (b15) 2018; 89 Hien, Trinh, Pathirana (b5) 2020; 112 Li, Yan, Zhang, Peng, Park, He (b8) 2020; 113 Nam, Trinh, Pathirana, Phat (b9) 2018; 63 Jia, Chen, Zhang, Li (b7) 2015; 62 Chan, Tan, Trinh, Kamal (b1) 2019; 356 Fridman (b3) 2014 Nguyen, Pathirana, Trinh (b10) 2019; 13 Isermann (b6) 2006 Qi, Ma (b12) 2018; 28 Edwards, Spurgeon (b2) 1998 Pinto, Oliveira, Hsu (b11) 2019; 106 Qi (10.1016/j.automatica.2020.109274_b12) 2018; 28 You (10.1016/j.automatica.2020.109274_b14) 2015; 352 Han (10.1016/j.automatica.2020.109274_b4) 2014; 351 Hien (10.1016/j.automatica.2020.109274_b5) 2020; 112 Edwards (10.1016/j.automatica.2020.109274_b2) 1998 Wang (10.1016/j.automatica.2020.109274_b13) 2017; 79 Pinto (10.1016/j.automatica.2020.109274_b11) 2019; 106 Fridman (10.1016/j.automatica.2020.109274_b3) 2014 Isermann (10.1016/j.automatica.2020.109274_b6) 2006 Nguyen (10.1016/j.automatica.2020.109274_b10) 2019; 13 Jia (10.1016/j.automatica.2020.109274_b7) 2015; 62 Li (10.1016/j.automatica.2020.109274_b8) 2020; 113 Nam (10.1016/j.automatica.2020.109274_b9) 2018; 63 Chan (10.1016/j.automatica.2020.109274_b1) 2019; 356 Zheng (10.1016/j.automatica.2020.109274_b15) 2018; 89 |
| References_xml | – volume: 113 year: 2020 ident: b8 article-title: Stability analysis of linear systems with time-varying delay via intermediate polynomial-based functions publication-title: Automatica – volume: 112 year: 2020 ident: b5 article-title: On publication-title: Automatica – year: 2014 ident: b3 article-title: Introduction to time-delay systems: Analysis and control – volume: 352 start-page: 5486 year: 2015 end-page: 5513 ident: b14 article-title: Robust fast adaptive fault estimation for systems with time-varying interval delay publication-title: Journal of the Franklin Institute – volume: 79 start-page: 290 year: 2017 end-page: 295 ident: b13 article-title: A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions publication-title: Automatica – volume: 351 start-page: 2125 year: 2014 end-page: 2142 ident: b4 article-title: Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach publication-title: Journal of the Franklin Institute – volume: 13 start-page: 1147 year: 2019 end-page: 1154 ident: b10 article-title: Robust state estimation for non-linear systems with unknown delays publication-title: IET Control Theory & Applications – volume: 106 start-page: 390 year: 2019 end-page: 400 ident: b11 article-title: Sliding mode observer for fault reconstruction of time-delay and sampled-output systems – a time shift approach publication-title: Automatica – volume: 63 start-page: 291 year: 2018 end-page: 297 ident: b9 article-title: Stability analysis of nonlinear time-delay systems using a novel piecewise positive systems method publication-title: IEEE Transactions on Automatic Control – year: 1998 ident: b2 article-title: Sliding mode control: Theory and applications – year: 2006 ident: b6 article-title: Fault-diagnosis systems: an introduction from fault detection to fault tolerance – volume: 89 start-page: 266 year: 2018 end-page: 273 ident: b15 article-title: Delay estimation via sliding mode for nonlinear time-delay systems publication-title: Automatica – volume: 62 start-page: 3885 year: 2015 end-page: 3895 ident: b7 article-title: Fault reconstruction and fault-tolerant control via learning observers in Takagi–Sugeno fuzzy descriptor systems with time delays publication-title: IEEE Transactions on Industrial Electronics – volume: 356 start-page: 3010 year: 2019 end-page: 3029 ident: b1 article-title: State and fault estimation for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade publication-title: Journal of the Franklin Institute – volume: 28 start-page: 5766 year: 2018 end-page: 5785 ident: b12 article-title: Integrated fault estimation and fault-tolerant control for uncertain time-varying delay nonlinear Markovian jump systems publication-title: International Journal of Robust and Nonlinear Control – volume: 106 start-page: 390 year: 2019 ident: 10.1016/j.automatica.2020.109274_b11 article-title: Sliding mode observer for fault reconstruction of time-delay and sampled-output systems – a time shift approach publication-title: Automatica doi: 10.1016/j.automatica.2019.04.027 – volume: 63 start-page: 291 issue: 1 year: 2018 ident: 10.1016/j.automatica.2020.109274_b9 article-title: Stability analysis of nonlinear time-delay systems using a novel piecewise positive systems method publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2017.2720972 – volume: 112 year: 2020 ident: 10.1016/j.automatica.2020.109274_b5 article-title: On l1-gain control of 2-D positive Roesser systems with directional delays: Necessary and sufficient conditions publication-title: Automatica doi: 10.1016/j.automatica.2019.108720 – year: 2006 ident: 10.1016/j.automatica.2020.109274_b6 – volume: 79 start-page: 290 year: 2017 ident: 10.1016/j.automatica.2020.109274_b13 article-title: A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions publication-title: Automatica doi: 10.1016/j.automatica.2017.01.027 – volume: 352 start-page: 5486 issue: 12 year: 2015 ident: 10.1016/j.automatica.2020.109274_b14 article-title: Robust fast adaptive fault estimation for systems with time-varying interval delay publication-title: Journal of the Franklin Institute doi: 10.1016/j.jfranklin.2015.09.006 – volume: 13 start-page: 1147 issue: 8 year: 2019 ident: 10.1016/j.automatica.2020.109274_b10 article-title: Robust state estimation for non-linear systems with unknown delays publication-title: IET Control Theory & Applications doi: 10.1049/iet-cta.2018.6248 – volume: 62 start-page: 3885 issue: 6 year: 2015 ident: 10.1016/j.automatica.2020.109274_b7 article-title: Fault reconstruction and fault-tolerant control via learning observers in Takagi–Sugeno fuzzy descriptor systems with time delays publication-title: IEEE Transactions on Industrial Electronics – volume: 28 start-page: 5766 issue: 18 year: 2018 ident: 10.1016/j.automatica.2020.109274_b12 article-title: Integrated fault estimation and fault-tolerant control for uncertain time-varying delay nonlinear Markovian jump systems publication-title: International Journal of Robust and Nonlinear Control doi: 10.1002/rnc.4345 – volume: 356 start-page: 3010 issue: 5 year: 2019 ident: 10.1016/j.automatica.2020.109274_b1 article-title: State and fault estimation for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade publication-title: Journal of the Franklin Institute doi: 10.1016/j.jfranklin.2019.01.044 – volume: 113 year: 2020 ident: 10.1016/j.automatica.2020.109274_b8 article-title: Stability analysis of linear systems with time-varying delay via intermediate polynomial-based functions publication-title: Automatica doi: 10.1016/j.automatica.2019.108756 – volume: 351 start-page: 2125 issue: 4 year: 2014 ident: 10.1016/j.automatica.2020.109274_b4 article-title: Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach publication-title: Journal of the Franklin Institute doi: 10.1016/j.jfranklin.2013.04.004 – volume: 89 start-page: 266 year: 2018 ident: 10.1016/j.automatica.2020.109274_b15 article-title: Delay estimation via sliding mode for nonlinear time-delay systems publication-title: Automatica doi: 10.1016/j.automatica.2017.11.033 – year: 2014 ident: 10.1016/j.automatica.2020.109274_b3 – year: 1998 ident: 10.1016/j.automatica.2020.109274_b2 |
| SSID | ssj0004182 |
| Score | 2.4943793 |
| Snippet | In this paper, we study the problem of estimating states and faults for a class of linear time-delay systems using sliding mode observers. Both the states and... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 109274 |
| SubjectTerms | [formula omitted] filtering Fault estimation Output delay Sliding mode observer Time-delay system |
| Title | Sliding mode observer for estimating states and faults of linear time-delay systems with outputs subject to delays |
| URI | https://dx.doi.org/10.1016/j.automatica.2020.109274 |
| Volume | 124 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier) issn: 0005-1098 databaseCode: GBLVA dateStart: 20110101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0004182 providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Complete Freedom Collection [SCCMFC] issn: 0005-1098 databaseCode: ACRLP dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0004182 providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection issn: 0005-1098 databaseCode: .~1 dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0004182 providerName: Elsevier – providerCode: PRVESC databaseName: ScienceDirect Freedom Collection Journals issn: 0005-1098 databaseCode: AIKHN dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0004182 providerName: Elsevier – providerCode: PRVLSH databaseName: Elsevier Journals issn: 0005-1098 databaseCode: AKRWK dateStart: 19630101 customDbUrl: isFulltext: true mediaType: online dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0004182 providerName: Library Specific Holdings |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NS8MwFA9jXvQgfuLnyMFr3NqkH8HTGI6puIsOditJlsBktKMfBy_-7ealrZsgKHht82h5fV9Jf-_3ELoBGxksgphQRTVhnHlEDKQgJvClhpgZuPFtz9NwMmOP82DeQaO2FwZglU3sr2O6i9bNlX6jzf56uYQeXzAoblMY_Dqi0PDLWARTDG4_NjAP5sU1Y7hj3ORxg-apMV6iKjPHjAoMRL7jVvIj9nOK2ko74wO039SLeFi_0iHq6PQI7W2xCB6j_GW1hAyEYaoNziScs-oc22oUA4UGPNnedJ1DBRbpAhtRrcoCZwZDjSlyDAPmCdBFvuOa2bnAcD6Ls6pcV3ZlUUk4rsFlht2q4gTNxvevowlpRikQZZ22JIabyDAmGKMhE1oBC7zvGxOqyLqwMbYSMHEYGUnjMFR2C-cbbZ1_QSXnAQ0YPUXdNEv1mdWe4rHdI3Fb21A2WNBY-57xYq40NUIG_BxFrfYS1fCMw7iLVdICyt6Sjd4T0HtS6_0ceV-S65pr4w8yd-0HSr7ZTWJTwq_SF_-SvkS7PiBcHIb7CnXLvNLXtkQpZc_ZYA_tDB-eJtNPezvnvQ |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NS8MwFA9zHtSD-InzMwevdWuStgmeZDimbru4wW4lbROYjHas7cGLf7t5aecmCApe2zxaXl_eV3_5PYRuwUY6iccdGlPlMMFcR3Yi6WiPRAp8pmfHtw1Hfn_CnqfetIG6q7MwAKusfX_l0623rq-0a222F7MZnPEFgxImhMGvI8q30DbzSAAV2N3HGufBXF5RhlvKTcFrOE8F8pJlkVlqVKAgIpZciQTs5xi1EXd6B2i_ThjxQ_VOh6ih0iO0t0EjeIyWr_MZhCAMY21wFkGjVS2xSUcxcGjAk81Ne3QoxzJNsJblvMhxpjEkmXKJYcK8A3yR77iids4xNGhxVhaL0qzMywj6NbjIsF2Vn6BJ73Hc7Tv1LAUnNru2cLTQgWZMMkZ9JlUMNPCEaO3HgdnDWptUQHM_0BHlvh-bGo5oZXZ_QiMhPOoxeoqaaZaqM6O9WHBTJAmT3FDWSShXxNUuF7GiWkaeaKFgpb0wronGYd7FPFwhyt7Ctd5D0HtY6b2F3C_JRUW28QeZ-9UHCr8ZTmhiwq_S5_-SvkE7_fFwEA6eRi8XaJcA3MUCui9Rs1iW6srkK0V0be3xE-cV6VI |
| 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=Sliding+mode+observer+for+estimating+states+and+faults+of+linear+time-delay+systems+with+outputs+subject+to+delays&rft.jtitle=Automatica+%28Oxford%29&rft.au=Nguyen%2C+Cuong+M.&rft.au=Tan%2C+Chee+Pin&rft.au=Trinh%2C+Hieu&rft.date=2021-02-01&rft.issn=0005-1098&rft.volume=124&rft.spage=109274&rft_id=info:doi/10.1016%2Fj.automatica.2020.109274&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_automatica_2020_109274 |
| 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 |