Fuzzy Set-Membership Filtering for Discrete-Time Nonlinear Systems
In this article, the problem of state estimation is addressed for discrete-time nonlinear systems subject to additive unknown-but-bounded noises by using fuzzy set-membership filtering. First, an improved T-S fuzzy model is introduced to achieve highly accurate approximation via an affine model unde...
Gespeichert in:
| Veröffentlicht in: | IEEE/CAA journal of automatica sinica Jg. 9; H. 6; S. 1026 - 1036 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Piscataway
Chinese Association of Automation (CAA)
01.06.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China%Division of Electrical and Computer Engineering,Louisiana State University,Baton Rouge,LA,70803 USA %Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China School of Science,Computing and Engineering Technologies,Swinburne University of Technology,Melbourne,VIC 3122,Australia |
| Schlagworte: | |
| ISSN: | 2329-9266, 2329-9274 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | In this article, the problem of state estimation is addressed for discrete-time nonlinear systems subject to additive unknown-but-bounded noises by using fuzzy set-membership filtering. First, an improved T-S fuzzy model is introduced to achieve highly accurate approximation via an affine model under each fuzzy rule. Then, compared to traditional prediction-based ones, two types of fuzzy set-membership filters are proposed to effectively improve filtering performance, where the structure of both filters consists of two parts: prediction and filtering. Under the locally Lipschitz continuous condition of membership functions, unknown membership values in the estimation error system can be treated as multiplicative noises with respect to the estimation error. Real-time recursive algorithms are given to find the minimal ellipsoid containing the true state. Finally, the proposed optimization approaches are validated via numerical simulations of a one-dimensional and a three-dimensional discrete-time nonlinear systems. |
|---|---|
| AbstractList | In this article, the problem of state estimation is addressed for discrete-time nonlinear systems subject to additive unknown-but-bounded noises by using fuzzy set-membership filtering. First, an improved T-S fuzzy model is introduced to achieve highly accurate approximation via an affine model under each fuzzy rule. Then, compared to traditional prediction-based ones, two types of fuzzy set-membership filters are proposed to effectively improve filtering performance, where the structure of both filters consists of two parts: prediction and filtering. Under the locally Lipschitz continuous condition of membership functions, unknown membership values in the estimation error system can be treated as multiplicative noises with respect to the estimation error. Real-time recursive algorithms are given to find the minimal ellipsoid containing the true state. Finally, the proposed optimization approaches are validated via numerical simulations of a one-dimensional and a three-dimensional discrete-time nonlinear systems. |
| Author | Meng, Xiangyu Mao, Jingyang Ding, Derui |
| AuthorAffiliation | Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China%Division of Electrical and Computer Engineering,Louisiana State University,Baton Rouge,LA,70803 USA %Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;School of Science,Computing and Engineering Technologies,Swinburne University of Technology,Melbourne,VIC 3122,Australia |
| AuthorAffiliation_xml | – name: Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China%Division of Electrical and Computer Engineering,Louisiana State University,Baton Rouge,LA,70803 USA %Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;School of Science,Computing and Engineering Technologies,Swinburne University of Technology,Melbourne,VIC 3122,Australia |
| Author_xml | – sequence: 1 givenname: Jingyang surname: Mao fullname: Mao, Jingyang email: nocmao@163.com organization: University of Shanghai for Science and Technology,Department of Control Science and Engineering,Shanghai,China,200093 – sequence: 2 givenname: Xiangyu surname: Meng fullname: Meng, Xiangyu email: xmeng5@lsu.edu organization: Louisiana State University,Division of Electrical and Computer Engineering,Baton Rouge,LA,USA,70803 – sequence: 3 givenname: Derui surname: Ding fullname: Ding, Derui email: deruiding2010@usst.edu.cn organization: University of Shanghai for Science and Technology,Department of Control Science and Engineering,Shanghai,China,200093 |
| BookMark | eNp9kD1PwzAQhi0EEgU6M7BEYkNK61wcpx7LR_kQH0PLbDnxpXXVOsV2Be2vJ1VQkRiY7obnee_0npBDW1sk5DyhvSShov80HPeAAvQSmrGEH5AOpCBiATk73O-cH5Ou93NKaQJZzgXrkOvRervdRGMM8QsuC3R-ZlbRyCwCOmOnUVW76Nb40mHAeGKWGL3WdmEsKheNNz7g0p-Ro0otPHZ_5il5H91Nbh7i57f7x5vhc1ymwEKc5VnzaVEVCjRDEFojihw0lKrUVFcaWJZoJlIBIi3zUvEKGKoBCmSs4JCekqs291PZStmpnNdrZ5uLcqtnX4XcfBa7CiinNG_gyxZeufpjjT780sBzoIIzPmiorKVKV3vvsJKlCSqY2ganzEImVO7qlU29cpct23obr__HWzmzVG7zj3HRGgYR97TIM5YCpN9wvYYc |
| CODEN | IJASJC |
| CitedBy_id | crossref_primary_10_1109_TNNLS_2024_3377537 crossref_primary_10_1177_01423312231181980 crossref_primary_10_1109_JAS_2024_124452 crossref_primary_10_1007_s40313_025_01189_y crossref_primary_10_1016_j_neucom_2022_03_001 crossref_primary_10_1080_00207721_2022_2063967 crossref_primary_10_1109_TNNLS_2022_3201521 crossref_primary_10_1007_s40747_024_01450_y crossref_primary_10_1109_TNSE_2024_3383280 crossref_primary_10_1016_j_isatra_2023_04_018 crossref_primary_10_1109_TSMC_2022_3190005 crossref_primary_10_1016_j_neucom_2022_06_003 crossref_primary_10_1109_JAS_2022_106034 crossref_primary_10_1109_TSMC_2023_3348290 crossref_primary_10_1109_TNNLS_2023_3348752 crossref_primary_10_1109_JAS_2022_105941 crossref_primary_10_1007_s40815_022_01443_4 crossref_primary_10_1007_s40815_022_01447_0 |
| Cites_doi | 10.1109/TAC.2020.2989773 10.1109/TCYB.2017.2769722 10.1109/TSMCB.2009.2020436 10.1109/TII.2016.2607999 10.1109/TCST.2018.2807798 10.1109/TSMC.2016.2572145 10.1109/TCYB.2019.2920709 10.1002/asjc.310 10.1016/j.automatica.2020.109298 10.1109/TAC.2018.2867325 10.1109/TSMC.2019.2918002 10.1109/JAS.2018.7511249 10.1109/TSMCA.2005.843383 10.1109/TII.2020.2964876 10.1016/j.automatica.2016.03.021 10.1109/TAC.2008.2007544 10.1109/TIE.2018.2870406 10.1109/TSMC.2019.2960541 10.1109/TCYB.2018.2884221 10.1109/TSG.2018.2870327 10.1109/TFUZZ.2017.2762633 10.1080/00207179.2020.1825796 10.1137/1.9781611970777 10.1109/TFUZZ.2018.2877635 10.1109/JAS.2017.7510886 10.1109/JAS.2020.1003306 10.1016/j.automatica.2018.03.082 10.1109/TFUZZ.2017.2686357 10.1109/TSMC.2019.2907620 |
| ContentType | Journal Article |
| Copyright | Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022 – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 97E RIA RIE AAYXX CITATION 7SC 7SP 7TB 8FD FR3 JQ2 L7M L~C L~D 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.1109/JAS.2022.105416 |
| DatabaseName | IEEE All-Society Periodicals Package (ASPP) 2005–Present IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef Computer and Information Systems Abstracts Electronics & Communications Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitle | CrossRef 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 Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Technology Research Database |
| Database_xml | – sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 2329-9274 |
| EndPage | 1036 |
| ExternalDocumentID | zdhxb_ywb202206007 10_1109_JAS_2022_105416 9754322 |
| Genre | orig-research |
| GrantInformation_xml | – fundername: China Scholarship Council grantid: 201908310148 funderid: 10.13039/501100004543 – fundername: National Natural Science Foundation of China grantid: 61973219,61933007,62073158 funderid: 10.13039/501100001809 |
| GroupedDBID | -0I -0Y -SI -S~ 0R~ 4.4 5VR 6IK 92M 97E 9D9 9DI AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACIWK AFUIB AGQYO AGSQL AHBIQ AKJIK AKQYR ALMA_UNASSIGNED_HOLDINGS ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CAJEI EBS EJD IFIPE IPLJI JAVBF M43 O9- OCL PQQKQ Q-- RIA RIE RT9 T8Y TCJ TGT U1F U1G U5I U5S AAYXX CITATION 7SC 7SP 7TB 8FD FR3 JQ2 L7M L~C L~D 2B. 4A8 92I 93N PSX R-I RIG |
| ID | FETCH-LOGICAL-c324t-575109bfba2d4e29ddee972d2cacd0dfd2451d4939293c7ca6f24ea8e9e44b623 |
| IEDL.DBID | RIE |
| ISICitedReferencesCount | 21 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000804669600011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 2329-9266 |
| IngestDate | Thu May 29 04:10:31 EDT 2025 Fri Jul 25 05:49:23 EDT 2025 Sat Nov 29 03:31:06 EST 2025 Tue Nov 18 22:16:03 EST 2025 Wed Aug 27 02:05:26 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 6 |
| Keywords | membership functions Affine model Takagi-Sugeno fuzzy modeling stability set-membership filtering |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c324t-575109bfba2d4e29ddee972d2cacd0dfd2451d4939293c7ca6f24ea8e9e44b623 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2672096468 |
| PQPubID | 2040495 |
| PageCount | 11 |
| ParticipantIDs | ieee_primary_9754322 crossref_primary_10_1109_JAS_2022_105416 crossref_citationtrail_10_1109_JAS_2022_105416 wanfang_journals_zdhxb_ywb202206007 proquest_journals_2672096468 |
| PublicationCentury | 2000 |
| PublicationDate | 2022-06-01 |
| PublicationDateYYYYMMDD | 2022-06-01 |
| PublicationDate_xml | – month: 06 year: 2022 text: 2022-06-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Piscataway |
| PublicationPlace_xml | – name: Piscataway |
| PublicationTitle | IEEE/CAA journal of automatica sinica |
| PublicationTitleAbbrev | JAS |
| PublicationTitle_FL | IEEE/CAA Journal of Automatica Sinica |
| PublicationYear | 2022 |
| Publisher | Chinese Association of Automation (CAA) The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China%Division of Electrical and Computer Engineering,Louisiana State University,Baton Rouge,LA,70803 USA %Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China School of Science,Computing and Engineering Technologies,Swinburne University of Technology,Melbourne,VIC 3122,Australia |
| Publisher_xml | – name: Chinese Association of Automation (CAA) – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE) – name: Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China%Division of Electrical and Computer Engineering,Louisiana State University,Baton Rouge,LA,70803 USA %Department of Control Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China – name: School of Science,Computing and Engineering Technologies,Swinburne University of Technology,Melbourne,VIC 3122,Australia |
| References | ref13 ref12 ref15 ref14 ref11 ref10 ref2 ref1 ref17 ref16 ref19 ref18 ref24 ref23 ref26 ref25 ref20 ref22 ref21 ref28 ref27 ref29 ref8 ref7 Zhao (ref9) 2021; 123 ref4 ref3 ref6 ref5 |
| References_xml | – ident: ref10 doi: 10.1109/TAC.2020.2989773 – ident: ref13 doi: 10.1109/TCYB.2017.2769722 – ident: ref19 doi: 10.1109/TSMCB.2009.2020436 – ident: ref11 doi: 10.1109/TII.2016.2607999 – ident: ref1 doi: 10.1109/TCST.2018.2807798 – ident: ref17 doi: 10.1109/TSMC.2016.2572145 – ident: ref21 doi: 10.1109/TCYB.2019.2920709 – ident: ref28 doi: 10.1002/asjc.310 – volume: 123 year: 2021 ident: ref9 article-title: Detection of intermittent faults based on an optimally weighted moving average ${t}_{\infty}$ control chart with stationary observations publication-title: Automatica doi: 10.1016/j.automatica.2020.109298 – ident: ref2 doi: 10.1109/TAC.2018.2867325 – ident: ref8 doi: 10.1109/TSMC.2019.2918002 – ident: ref24 doi: 10.1109/JAS.2018.7511249 – ident: ref15 doi: 10.1109/TSMCA.2005.843383 – ident: ref3 doi: 10.1109/TII.2020.2964876 – ident: ref12 doi: 10.1016/j.automatica.2016.03.021 – ident: ref7 doi: 10.1109/TAC.2008.2007544 – ident: ref5 doi: 10.1109/TIE.2018.2870406 – ident: ref4 doi: 10.1109/TSMC.2019.2960541 – ident: ref20 doi: 10.1109/TCYB.2018.2884221 – ident: ref6 doi: 10.1109/TSG.2018.2870327 – ident: ref18 doi: 10.1109/TFUZZ.2017.2762633 – ident: ref16 doi: 10.1080/00207179.2020.1825796 – ident: ref29 doi: 10.1137/1.9781611970777 – ident: ref22 doi: 10.1109/TFUZZ.2018.2877635 – ident: ref25 doi: 10.1109/JAS.2017.7510886 – ident: ref26 doi: 10.1109/JAS.2020.1003306 – ident: ref27 doi: 10.1016/j.automatica.2018.03.082 – ident: ref23 doi: 10.1109/TFUZZ.2017.2686357 – ident: ref14 doi: 10.1109/TSMC.2019.2907620 |
| SSID | ssj0001257694 |
| Score | 2.3279662 |
| Snippet | In this article, the problem of state estimation is addressed for discrete-time nonlinear systems subject to additive unknown-but-bounded noises by using fuzzy... In this article,the problem of state estimation is addressed for discrete-time nonlinear systems subject to additive unknown-but-bounded noises by using fuzzy... |
| SourceID | wanfang proquest crossref ieee |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1026 |
| SubjectTerms | Affine model Algorithms Continuity (mathematics) Discrete time systems Ellipsoids Estimation error Filtering algorithms Filtering theory Filtration Fuzzy sets Information filters Mathematical analysis Mathematical models membership functions Noise measurement Nonlinear systems Optimization set-membership filtering stability State estimation Takagi-Sugeno fuzzy modeling |
| Title | Fuzzy Set-Membership Filtering for Discrete-Time Nonlinear Systems |
| URI | https://ieeexplore.ieee.org/document/9754322 https://www.proquest.com/docview/2672096468 https://d.wanfangdata.com.cn/periodical/zdhxb-ywb202206007 |
| Volume | 9 |
| WOSCitedRecordID | wos000804669600011&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: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 2329-9274 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001257694 issn: 2329-9266 databaseCode: RIE dateStart: 20140101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8QwEB5UFPTgW1xfFPTgwWg3TZvk6GsRwUVQwVtJk6kuSFfWXR_76520dV1BD15KodNQJmnmm0zyfQB7iXKC8yxmwvGILiJjGVeWRQpjoygbk8aVYhOy3Vb39_p6Ag5GZ2EQsdx8hof-tqzlu64d-KWyIy1jQQNwEiallNVZrbH1FELOpe4hYQTNNAWemsmnGeqjy-MbygU597K2wmubjwWhUlXlB8CceTNFboqHsUjTWvjfNy7CfI0og-NqCCzBBBbLMDfGM7gCJ63BcPgR3GCfXaFXAPFbtIJWx1fKySAg4BqcdWgCIQTN_KGQoF0xaJheUFOar8Jd6_z29ILV4gnMEkbqM19PCXWWZ4Y7gVzTNIZacsetsS50ueMibjqhPT6KrLQmyblAo1CjEBmBojWYKroFrkMQy8hpZZ1BlYg8QkMoJVFk3TQU_1XYgMMvb6a2Zhb3AhdPaZlhhDol96fe_Wnl_gbsj154rkg1_jZd8T4emdXubcDWV3el9U_3kvJEcsrIRKIasFt34ffToXt8z9KPt8y3Hnpa_o3f296EWW9S7Qfbgql-b4DbMG1f-52X3k456j4BQdvTlw |
| linkProvider | IEEE |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1RT9swED51HdPgYWPrEAW2RWIPPGCaOk5iP5ZtVbdBhQRIvFmOfWGVphSVdqz99ZyTUIq0PewlipSLFZ0v9nf2-fsAPiXSCc6zmAnHI7qIjGVcWhZJjI2kbCw1rhSbSIdDeXWlzhpwuDwLg4hl8Rke-dtyL9-N7cwvlXVUGgsKwGfwPBaCd6vTWisrKoSdS-VDQgmKKZp6ai6fbqg633vnlA1y7oVthVc3X5mGSl2VJxDzxZ0pclNcr8w1_df_95Wb8KrGlEGvCoI30MDiLWysMA224Lg_WyzmwTlO2Sl6DRBfpBX0R36vnAwCgq7BlxENIYShmT8WEgwrDg0zCWpS83dw2f968XnAavkEZgklTZnfUQlVlmeGO4Fc0UCGKuWOW2Nd6HLHRdx1QnmEFNnUmiTnAo1EhUJkBIu2oFmMC9yGIE4jp6R1BmUi8ggN4ZREknXXEAKQYRuOHrypbc0t7iUufukyxwiVJvdr735dub8NB8sXbipajX-btryPl2a1e9uw99Bduv7tbjVPUk45mUhkG_brLnx8unA__2R6fpf51kNPzL_z97Y_wsvBxemJPvk2_LEL6968qg7bg-Z0MsP3sGZ_T0e3kw9lBN4DbFrW3g |
| 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=Fuzzy+Set-Membership+Filtering+for+Discrete-Time+Nonlinear+Systems&rft.jtitle=IEEE%2FCAA+journal+of+automatica+sinica&rft.au=Mao%2C+Jingyang&rft.au=Ding%2C+Derui&rft.date=2022-06-01&rft.pub=The+Institute+of+Electrical+and+Electronics+Engineers%2C+Inc.+%28IEEE%29&rft.issn=2329-9266&rft.eissn=2329-9274&rft.volume=9&rft.issue=6&rft.spage=1026&rft_id=info:doi/10.1109%2FJAS.2022.105416&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_s | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fzdhxb-ywb%2Fzdhxb-ywb.jpg |