Linear functional observers with guaranteed ε-convergence for discrete time-delay systems with input/output disturbances
The problem of designing linear functional observers for discrete time-delay systems with unknown-but-bounded disturbances in both the plant and the output is considered for the first time in this paper. A novel approach to design a minimum-order observer is proposed to guarantee that the observer e...
Gespeichert in:
| Veröffentlicht in: | International journal of systems science Jg. 47; H. 13; S. 3193 - 3205 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Taylor & Francis
02.10.2016
|
| Schlagworte: | |
| ISSN: | 0020-7721, 1464-5319 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | The problem of designing linear functional observers for discrete time-delay systems with unknown-but-bounded disturbances in both the plant and the output is considered for the first time in this paper. A novel approach to design a minimum-order observer is proposed to guarantee that the observer error is ε-convergent, which means that the estimate converges robustly within an ε-bound of the true state. Conditions for the existence of this observer are first derived. Then, by utilising an extended Lyapunov-Krasovskii functional and the free-weighting matrix technique, a sufficient condition for ε-convergence of the observer error system is given. This condition is presented in terms of linear matrix inequalities with two parameters needed to be tuned, so that it can be efficiently solved by incorporating a two-dimensional search method into convex optimisation algorithms to obtain the smallest possible value for ε. Three numerical examples, including the well-known single-link flexible joint robotic system, are given to illustrate the feasibility and effectiveness of our results. |
|---|---|
| AbstractList | The problem of designing linear functional observers for discrete time-delay systems with unknown-but-bounded disturbances in both the plant and the output is considered for the first time in this paper. A novel approach to design a minimum-order observer is proposed to guarantee that the observer error is ε-convergent, which means that the estimate converges robustly within an ε-bound of the true state. Conditions for the existence of this observer are first derived. Then, by utilising an extended Lyapunov-Krasovskii functional and the free-weighting matrix technique, a sufficient condition for ε-convergence of the observer error system is given. This condition is presented in terms of linear matrix inequalities with two parameters needed to be tuned, so that it can be efficiently solved by incorporating a two-dimensional search method into convex optimisation algorithms to obtain the smallest possible value for ε. Three numerical examples, including the well-known single-link flexible joint robotic system, are given to illustrate the feasibility and effectiveness of our results. The problem of designing linear functional observers for discrete time-delay systems with unknown-but-bounded disturbances in both the plant and the output is considered for the first time in this paper. A novel approach to design a minimum-order observer is proposed to guarantee that the observer error is epsilon -convergent, which means that the estimate converges robustly within an epsilon -bound of the true state. Conditions for the existence of this observer are first derived. Then, by utilising an extended Lyapunov-Krasovskii functional and the free-weighting matrix technique, a sufficient condition for epsilon -convergence of the observer error system is given. This condition is presented in terms of linear matrix inequalities with two parameters needed to be tuned, so that it can be efficiently solved by incorporating a two-dimensional search method into convex optimisation algorithms to obtain the smallest possible value for epsilon . Three numerical examples, including the well-known single-link flexible joint robotic system, are given to illustrate the feasibility and effectiveness of our results. |
| Author | Trinh, H. Nguyen, M. C. Nam, P. T. |
| Author_xml | – sequence: 1 givenname: M. C. surname: Nguyen fullname: Nguyen, M. C. organization: School of Engineering, Deakin University – sequence: 2 givenname: H. surname: Trinh fullname: Trinh, H. email: hieu.trinh@deakin.edu.au organization: School of Engineering, Deakin University – sequence: 3 givenname: P. T. surname: Nam fullname: Nam, P. T. organization: Department of Mathematics, Quynhon University |
| BookMark | eNqFkM1q3DAQgEVJoJukj1DQsRdvJFn-o5eE0DSFhV6SsxhL41TFljaS3OAHy2v0mSqzm0sOzWlg9H2D-M7IifMOCfnM2Zazll0yJljTCL4VjFdbnneykR_IhstaFlXJuxOyWZlihT6Ssxh_M8aqSrANWXbWIQQ6zE4n6x2M1PcRwx8MkT7b9Is-zhDAJURD_74U2rv89IhOIx18oMZGHTAhTXbCwuAIC41LTDgddev2c7r0c8pjpdMcesh2vCCnA4wRPx3nOXm4_XZ_c1fsfn7_cXO9K3Qpy1S0gEIbUcu27urBcFGLjvemGWTPsJE1ImA1MDCAzJQgG9N2yEtdd12vTcfKc_LlcHcf_NOMMakp_xnHERz6OSre8qprpWQio18PqA4-xoCD0jbBmiUFsKPiTK3B1WtwtQZXx-DZrt7Y-2AnCMu73tXBsy4XneDZh9GoBMvow5DTaxtV-f8T_wCmQ53M |
| CitedBy_id | crossref_primary_10_1049_iet_cta_2018_6384 crossref_primary_10_1016_j_amc_2019_01_064 crossref_primary_10_1016_j_ejcon_2018_09_002 crossref_primary_10_1049_iet_cta_2018_5113 crossref_primary_10_1049_iet_cta_2018_5551 crossref_primary_10_1080_00207721_2017_1311964 crossref_primary_10_1016_j_amc_2020_125352 crossref_primary_10_1080_00207721_2020_1854895 crossref_primary_10_1088_1742_6596_1515_2_022022 crossref_primary_10_1007_s10877_016_9929_2 crossref_primary_10_1080_00207721_2018_1479463 crossref_primary_10_1049_iet_cta_2017_0293 crossref_primary_10_1002_rnc_3960 |
| Cites_doi | 10.1080/00207179.2014.891293 10.1080/00207179.2014.884727 10.1109/TAC.2009.2034191 10.1080/00207720802439293 10.1016/j.automatica.2013.05.030 10.1109/TAC.2006.887907 10.1111/j.1934-6093.2007.tb00430.x 10.1016/j.jfranklin.2014.10.022 10.1007/s10957-012-0179-2 10.1016/j.automatica.2012.11.029 10.1109/9.981730 10.1080/00207720600774289 10.1007/978-3-642-24064-5 10.1109/TFUZZ.2010.2052259 10.1016/S0005-1098(03)00167-5 10.1134/S0005117911110026 10.1016/j.jfranklin.2015.02.004 10.1007/978-1-4612-0039-0 10.1109/TNNLS.2015.2399421 10.1016/j.automatica.2007.10.022 10.1016/j.automatica.2010.10.014 10.1109/37.898794 10.1016/j.automatica.2004.02.014 10.1080/00207179.2013.797607 10.1109/9.855556 10.1049/iet-cta.2013.0980 10.1080/00207720802300370 10.1016/j.automatica.2006.05.023 10.1109/9.911430 10.1134/S000511790805007X 10.1080/00207721.2010.521866 10.1016/j.automatica.2007.10.033 10.1109/TFUZZ.2010.2084570 10.1080/00207721.2014.973929 10.1109/TAC.2015.2398885 10.1002/rnc.3086 10.1109/TAC.2004.841932 10.1109/TCSII.2004.836043 10.1080/00207179608921725 10.1007/s10957-012-0240-1 |
| ContentType | Journal Article |
| Copyright | 2015 Taylor & Francis 2015 |
| Copyright_xml | – notice: 2015 Taylor & Francis 2015 |
| DBID | AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D |
| DOI | 10.1080/00207721.2015.1108474 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Computer and Information Systems Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1464-5319 |
| EndPage | 3205 |
| ExternalDocumentID | 10_1080_00207721_2015_1108474 1108474 |
| Genre | Article |
| GrantInformation_xml | – fundername: Australian Research Council grantid: DP130101532 funderid: 10.13039/501100000923 |
| GroupedDBID | -~X .7F .DC .QJ 0BK 0R~ 29J 30N 4.4 5GY 5VS 8VB AAENE AAGDL AAHIA AAJMT AALDU AAMIU AAPUL AAQRR ABCCY ABFIM ABHAV ABJNI ABLIJ ABPAQ ABPEM ABTAI ABXUL ABXYU ACGEJ ACGFS ACNCT ACTIO ADCVX ADGTB ADXPE AEISY AENEX AEOZL AEPSL AEYOC AFKVX AFRVT AGDLA AGMYJ AHDZW AIJEM AIYEW AJWEG AKBVH AKOOK ALMA_UNASSIGNED_HOLDINGS ALQZU AQRUH AQTUD AVBZW AWYRJ BLEHA CCCUG CE4 CS3 DGEBU DKSSO DU5 EBS EJD E~A E~B F5P GTTXZ H13 HF~ HZ~ H~P IPNFZ J.P KYCEM M4Z MS~ NA5 NX~ O9- P2P QWB RIG RNANH ROSJB RTWRZ S-T SNACF TASJS TBQAZ TDBHL TEN TFL TFT TFW TNC TTHFI TUROJ TWF UT5 UU3 ZGOLN ZL0 ~02 ~S~ AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D |
| ID | FETCH-LOGICAL-c343t-8ae2cd2648696fd126291bd7f4b0e746eeae5f0adae0d3a47d89e13c699bcd903 |
| IEDL.DBID | TFW |
| ISICitedReferencesCount | 14 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000374863900009&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0020-7721 |
| IngestDate | Fri Sep 05 09:23:39 EDT 2025 Sat Nov 29 02:12:34 EST 2025 Tue Nov 18 20:59:42 EST 2025 Mon Oct 20 23:46:49 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 13 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c343t-8ae2cd2648696fd126291bd7f4b0e746eeae5f0adae0d3a47d89e13c699bcd903 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1815984402 |
| PQPubID | 23500 |
| PageCount | 13 |
| ParticipantIDs | informaworld_taylorfrancis_310_1080_00207721_2015_1108474 proquest_miscellaneous_1815984402 crossref_citationtrail_10_1080_00207721_2015_1108474 crossref_primary_10_1080_00207721_2015_1108474 |
| PublicationCentury | 2000 |
| PublicationDate | 2016-10-02 |
| PublicationDateYYYYMMDD | 2016-10-02 |
| PublicationDate_xml | – month: 10 year: 2016 text: 2016-10-02 day: 02 |
| PublicationDecade | 2010 |
| PublicationTitle | International journal of systems science |
| PublicationYear | 2016 |
| Publisher | Taylor & Francis |
| Publisher_xml | – name: Taylor & Francis |
| References | cit0011 cit0033 cit0012 cit0034 cit0031 cit0010 cit0032 cit0030 cit0019 cit0017 cit0039 cit0018 cit0015 cit0037 cit0016 cit0038 cit0013 cit0035 cit0014 cit0036 cit0022 cit0001 cit0023 cit0020 cit0021 cit0040 cit0008 cit0009 cit0006 cit0028 cit0007 cit0029 cit0004 cit0026 cit0005 cit0027 cit0002 cit0024 cit0003 cit0025 |
| References_xml | – ident: cit0009 doi: 10.1080/00207179.2014.891293 – ident: cit0022 doi: 10.1080/00207179.2014.884727 – ident: cit0001 doi: 10.1109/TAC.2009.2034191 – ident: cit0018 doi: 10.1080/00207720802439293 – ident: cit0032 doi: 10.1016/j.automatica.2013.05.030 – ident: cit0011 doi: 10.1109/TAC.2006.887907 – ident: cit0006 doi: 10.1111/j.1934-6093.2007.tb00430.x – ident: cit0030 doi: 10.1016/j.jfranklin.2014.10.022 – ident: cit0035 doi: 10.1007/s10957-012-0179-2 – ident: cit0039 doi: 10.1016/j.automatica.2012.11.029 – ident: cit0013 doi: 10.1109/9.981730 – ident: cit0015 doi: 10.1080/00207720600774289 – ident: cit0036 doi: 10.1007/978-3-642-24064-5 – ident: cit0028 doi: 10.1109/TFUZZ.2010.2052259 – ident: cit0031 doi: 10.1016/S0005-1098(03)00167-5 – ident: cit0016 doi: 10.1134/S0005117911110026 – ident: cit0023 doi: 10.1016/j.jfranklin.2015.02.004 – ident: cit0010 doi: 10.1007/978-1-4612-0039-0 – ident: cit0008 doi: 10.1109/TNNLS.2015.2399421 – ident: cit0017 doi: 10.1016/j.automatica.2007.10.022 – ident: cit0025 doi: 10.1016/j.automatica.2010.10.014 – ident: cit0040 doi: 10.1109/37.898794 – ident: cit0026 doi: 10.1016/j.automatica.2004.02.014 – ident: cit0007 doi: 10.1080/00207179.2013.797607 – ident: cit0003 doi: 10.1109/9.855556 – ident: cit0012 doi: 10.1049/iet-cta.2013.0980 – ident: cit0037 doi: 10.1080/00207720802300370 – ident: cit0024 doi: 10.1016/j.automatica.2006.05.023 – ident: cit0004 doi: 10.1109/9.911430 – ident: cit0027 doi: 10.1134/S000511790805007X – ident: cit0034 doi: 10.1080/00207721.2010.521866 – ident: cit0002 doi: 10.1016/j.automatica.2007.10.033 – ident: cit0029 doi: 10.1109/TFUZZ.2010.2084570 – ident: cit0014 doi: 10.1080/00207721.2014.973929 – ident: cit0033 doi: 10.1109/TAC.2015.2398885 – ident: cit0019 doi: 10.1002/rnc.3086 – ident: cit0005 doi: 10.1109/TAC.2004.841932 – ident: cit0038 doi: 10.1109/TCSII.2004.836043 – ident: cit0020 doi: 10.1080/00207179608921725 – ident: cit0021 doi: 10.1007/s10957-012-0240-1 |
| SSID | ssj0005520 |
| Score | 2.1984408 |
| Snippet | The problem of designing linear functional observers for discrete time-delay systems with unknown-but-bounded disturbances in both the plant and the output is... |
| SourceID | proquest crossref informaworld |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 3193 |
| SubjectTerms | Algorithms Design engineering discrete-time systems Disturbances Errors Feasibility Mathematical models Observers Optimization time-varying delay unknown bounded disturbances ε-Bounded state estimation |
| Title | Linear functional observers with guaranteed ε-convergence for discrete time-delay systems with input/output disturbances |
| URI | https://www.tandfonline.com/doi/abs/10.1080/00207721.2015.1108474 https://www.proquest.com/docview/1815984402 |
| Volume | 47 |
| WOSCitedRecordID | wos000374863900009&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: PRVAWR databaseName: Taylor & Francis Journals Complete customDbUrl: eissn: 1464-5319 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0005520 issn: 0020-7721 databaseCode: TFW dateStart: 19701001 isFulltext: true titleUrlDefault: https://www.tandfonline.com providerName: Taylor & Francis |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8QwEA6yeNCDb3F9EcFrtW3SR44iLh5k8bA-biVtJrIgXdl2hf1h_g1_kzNpd3UR8aCnUuiENplkHv3mG8ZOtZDKhJB4PkQYoMgg95SJUi8FsEL6WltXPnZ_k_T76eOjum3RhFULq6QY2jZEEe6sps2t82qGiKMKbh-dQorugsjh2GVCjKDo2ZOOD3oPnyCPqCVmxCCJRGY1PD-NsmCdFrhLv53VzgD11v_h1TfYWut98otGXTbZEpRbbPULJ-E2m2J0itrPyeA1eUI-yil1i34ip6wtf0KtovUAw9_fPAdbdxWcwPE7OJX5jtET59S13iMOyilv6KJb8WH5MqnPR5MaL_Q02rycVK_aYXe9q8Hltdf2Z_AKIUXtpRrCwhBELlaxNUEYhyrITWJl7kMiYwANkfW10eAboWViUgWBKGKl8sIoX-yyTjkqYY9xLRT6jjaHUBZoLgMdRGCjGA8cDFCNFV0mZ-uSFS15OfXQeM6COcdpM7MZzWzWzmyXnc3FXhr2jt8E1NdFz2qXNrFNj5NM_CJ7MtOQDPco_XjRJYwmVYZeVKRSiaH6_h_GP2AreBs7JGF4yDr1eAJHbLl4rYfV-Njp_QdCNgDB |
| linkProvider | Taylor & Francis |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NTtwwELaAVoIeKNBWpbRgJK6BJLaT-IgQKyqWPS0_N8uJxwgJZdFuFokH62vwTMw4WVhUIQ7tKYdkrMSe8fzkm8-M7VkhtUshj2JQmKDIpIy0U0VUAHghY2t9aB-76OeDQXF1ped7YQhWSTm0b4kiwl5Nxk3F6Bkkjlq4Y4wKKb1LVACyy1wusg8KfS3B-oa9yxeYh-qoGTFNIplZF89bw7zyT6_YS__arYML6n3-Hy-_xla7AJQfthqzzhag3mCf5mgJv7AHTFDRADj5vLZUyEclVW8xVORUuOXXqFi0JOD4458oINdDEydw_BBOnb5jDMY5HVwfEQ3lA28Zozvxm_pu2hyMpg1e6Gl0eyVp3-QrO-8dD49Oou6IhqgSUjRRYSGtHKHkMp15l6RZqpPS5V6WMeQyA7CgfGydhdgJK3NXaEhElWldVk7H4htbqkc1fGfcCo3hoy8hlRV6zMQmCrzKcM_BHNV5scnkbGFM1fGX0zEatyZ5pjltZ9bQzJpuZjfZ_rPYXUvg8Z6Anl9104TKiW-POTHiHdndmYoYNFP692JrGE0nBgMppQuJ2fqPfxh_hy2fDM_6pv97cLrFVvBWFoCF6U-21Iyn8It9rO6bm8l4OxjBE2I-BOI |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3JTuQwELVYRog5sCN2jDTXQBI7i48IaIFALQ7AcLOcuIxaQulWdxqJD5vfmG-aKifNohHiAKcckrISu-xa8uoVY7-MkMrGkAUhJBigyKgIlE3yIAdwQobGOF8-dneVdbv5_b26btGEoxZWSTG0a4gi_FlNm3tg3QQRRxXcITqFFN1Ficexy0xOs1lPjoUqfdP5_YrySFpmRoySSGZSxPPRMO_M0zvy0v8Oa2-BOovf8O5LbKF1P_lxoy_LbAqqFfbzDSnhKnvG8BTVn5PFaxKFvF9Q7hYdRU5pW_6AakULApb__RN43Lov4QSO38GpzneIrjintvUBkVA-84YvuhXvVYNxfdQf13ihp9HoFaR7ozV22zm7OTkP2gYNQSmkqIPcQFxawsilKnU2itNYRYXNnCxCyGQKYCBxobEGQiuMzGyuIBJlqlRRWhWKdTZT9SvYYNwIhc6jKyCWJdrLyEQJuCTFEwcjVOvEJpOTddFly15OTTQedfRCctrMrKaZ1e3MbrLDF7FBQ9_xmYB6u-i69nkT1zQ50eIT2YOJhmjcpPTnxVTQH480ulGJyiXG6ltfGH-fzV2fdvTVRfdym83jndSjCuMdNlMPx7DLfpRPdW803PNb4B8hqwOG |
| 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=Linear+functional+observers+with+guaranteed+%CE%B5-convergence+for+discrete+time-delay+systems+with+input%2Foutput+disturbances&rft.jtitle=International+journal+of+systems+science&rft.au=Nguyen%2C+M.+C.&rft.au=Trinh%2C+H.&rft.au=Nam%2C+P.+T.&rft.date=2016-10-02&rft.issn=0020-7721&rft.eissn=1464-5319&rft.volume=47&rft.issue=13&rft.spage=3193&rft.epage=3205&rft_id=info:doi/10.1080%2F00207721.2015.1108474&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_00207721_2015_1108474 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7721&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7721&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7721&client=summon |