Online identification for output-error models with random time delays based on auxiliary model and recursive expectation maximization algorithm
This article considers the identification of output-error (OE) models with random time delays under the framework of a recursive expectation maximization (REM) algorithm. Polynomial transformation of OE models will cause the problem of colored noise. To avoid the interference of colored noise, an in...
Saved in:
| Published in: | Digital signal processing Vol. 158; p. 104951 |
|---|---|
| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Inc
01.03.2025
|
| Subjects: | |
| ISSN: | 1051-2004 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This article considers the identification of output-error (OE) models with random time delays under the framework of a recursive expectation maximization (REM) algorithm. Polynomial transformation of OE models will cause the problem of colored noise. To avoid the interference of colored noise, an intermediate variable is directly defined to construct a pseudo-linear regression model, but its information vector contains unknown noise-free outputs. Therefore, under the help of the auxiliary model, an auxiliary variable with the same structure is constructed to replace the unknown intermediate term. At the same time, the expectation maximization (EM) algorithm is used to estimate unknown parameters by treating the time delay as a hidden variable. However, the classic EM algorithm can only process a fixed batch of offline data and cannot update model parameters in real time. Therefore, an online REM algorithm is proposed based on the sliding data window to achieve real-time updates of parameters. When a sliding data window moves forward, the algorithm can consider the newest data and discard the oldest data, improving data utilization. Further, this article analyzes the unbiasedness of the proposed REM algorithm under a batch of data. Finally, a numerical example and a simulated continuous stirred tank reactor are employed to illustrate the effectiveness of the REM algorithm.
•By defining the intermediate variable, the problem caused by the polynomial transformation of OE models is avoided.•When new data is collected, a fixed-length sliding data window moves forward to realize the online identification.•The sliding data window makes up for the shortcomings of iterative algorithms under limited measurement data.•The unbiased estimator of the proposed algorithm under a batch of data is proved. |
|---|---|
| AbstractList | This article considers the identification of output-error (OE) models with random time delays under the framework of a recursive expectation maximization (REM) algorithm. Polynomial transformation of OE models will cause the problem of colored noise. To avoid the interference of colored noise, an intermediate variable is directly defined to construct a pseudo-linear regression model, but its information vector contains unknown noise-free outputs. Therefore, under the help of the auxiliary model, an auxiliary variable with the same structure is constructed to replace the unknown intermediate term. At the same time, the expectation maximization (EM) algorithm is used to estimate unknown parameters by treating the time delay as a hidden variable. However, the classic EM algorithm can only process a fixed batch of offline data and cannot update model parameters in real time. Therefore, an online REM algorithm is proposed based on the sliding data window to achieve real-time updates of parameters. When a sliding data window moves forward, the algorithm can consider the newest data and discard the oldest data, improving data utilization. Further, this article analyzes the unbiasedness of the proposed REM algorithm under a batch of data. Finally, a numerical example and a simulated continuous stirred tank reactor are employed to illustrate the effectiveness of the REM algorithm.
•By defining the intermediate variable, the problem caused by the polynomial transformation of OE models is avoided.•When new data is collected, a fixed-length sliding data window moves forward to realize the online identification.•The sliding data window makes up for the shortcomings of iterative algorithms under limited measurement data.•The unbiased estimator of the proposed algorithm under a batch of data is proved. |
| ArticleNumber | 104951 |
| Author | Xiong, Weili Ma, Yujie Li, Ronghuan Ma, Junxia |
| Author_xml | – sequence: 1 givenname: Ronghuan orcidid: 0009-0002-7306-3670 surname: Li fullname: Li, Ronghuan organization: School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, Jiangsu, China – sequence: 2 givenname: Junxia orcidid: 0000-0002-0151-3188 surname: Ma fullname: Ma, Junxia email: jxma@jiangnan.edu.cn organization: School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, Jiangsu, China – sequence: 3 givenname: Yujie surname: Ma fullname: Ma, Yujie organization: Department of Computer Science, The University of Manchester, Manchester, M139PL, Greater Manchester, United Kingdom – sequence: 4 givenname: Weili surname: Xiong fullname: Xiong, Weili organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, 214122, Jiangsu, China |
| BookMark | eNp9kEtOwzAQhr0oEi1wAHa-QIqdOC-xQhUvqVI3sLYcewJTJXFkO6XlElwZV2HNavSP5puxvxVZDHYAQm45W3PGi7v92vhxnbJUxCzqnC_IkrOcJylj4pKsvN8zxkqRFkvysxs6HICigSFgi1oFtANtraN2CuMUEnAuht4a6Dz9wvBJnRqM7WnAHmjsqpOnjfJgaATVdMQOlTvNBI2j1IGenMcDUDiOoMN8oldH7PF7Dqr7sC7u7q_JRas6Dzd_9Yq8Pz2-bV6S7e75dfOwTXQq6pCYLBMizzWDSlcAjRFly_NGZJluVJs1ZV1WOm3yqi4KyFIolRJtpXXeMg11pbIrwue92lnvHbRydNjHd0vO5Nmi3MtoUZ4tytliZO5nJpqAA4KTXiMMGgzGLwZpLP5D_wIK0YPS |
| Cites_doi | 10.1109/LSP.2021.3136504 10.1016/j.apm.2013.06.007 10.1109/TII.2019.2933030 10.1002/rnc.6632 10.1109/TCSII.2005.862281 10.1016/j.jprocont.2022.04.019 10.1002/rnc.4819 10.1016/j.aej.2020.12.010 10.1016/j.jfranklin.2020.06.003 10.1016/j.cam.2023.115687 10.1049/iet-cta.2012.0313 10.1016/j.cam.2016.01.042 10.1016/j.dsp.2024.104438 10.1080/00207721.2019.1704093 10.1002/rnc.4959 10.1016/j.cam.2023.115107 10.1002/rnc.6657 10.1007/s12555-021-0448-7 10.1002/acs.3593 10.1002/rnc.4824 10.1049/cje.2017.08.024 10.1002/acs.3655 10.1109/TAES.2022.3215946 10.1016/j.arcontrol.2024.100942 10.1016/j.sigpro.2013.10.018 10.1109/LSP.2022.3152108 10.1002/acs.3027 10.1109/TCSI.2022.3193444 10.1109/TAC.2021.3132262 10.1016/j.jfranklin.2021.11.015 10.1002/acs.3602 10.1016/j.apm.2023.10.038 10.1007/s00034-024-02627-z 10.1002/acs.3308 10.1016/j.dsp.2022.103904 10.1016/j.apm.2012.04.039 10.1109/TAC.2022.3227916 10.1109/TCYB.2021.3125106 10.1007/s00034-023-02477-1 10.1007/s12555-024-0430-2 10.1177/0142331217733326 10.1002/acs.3657 10.1002/acs.3203 10.1108/AA-08-2018-115 10.1002/rnc.4961 10.1002/acs.3699 10.1002/acs.3089 10.1007/s00034-024-02777-0 10.1016/j.cam.2023.115297 10.1109/9.739123 10.1007/s00034-013-9633-0 10.1007/s12555-021-1028-6 10.1016/j.jfranklin.2024.107113 10.1002/rnc.5468 10.1002/rnc.5084 10.1016/j.jprocont.2023.103007 10.1002/rnc.6221 10.1002/rnc.7416 10.1002/rnc.7014 10.1049/cje.2021.00.241 10.1007/s12555-019-0191-5 10.1016/j.chaos.2022.113085 10.1002/acs.3669 10.1007/s12555-020-0619-y 10.1007/s12555-021-0241-7 10.1002/rnc.5266 10.1016/j.jfranklin.2019.06.032 10.1016/0009-2509(92)80266-F 10.1002/acs.3637 10.1109/TII.2022.3194656 10.1109/LSP.2020.3021925 |
| ContentType | Journal Article |
| Copyright | 2024 Elsevier Inc. |
| Copyright_xml | – notice: 2024 Elsevier Inc. |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.dsp.2024.104951 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| ExternalDocumentID | 10_1016_j_dsp_2024_104951 S105120042400575X |
| GroupedDBID | --K --M .DC .~1 0R~ 1B1 1~. 1~5 29G 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXKI AAXUO AAYFN ABBOA ABDPE ABFNM ABJNI ABMAC ABWVN ABXDB ACDAQ ACGFS ACNNM ACRLP ACRPL ACZNC ADBBV ADEZE ADFGL ADJOM ADMUD ADNMO ADTZH AEBSH AECPX AEIPS AEKER AENEX AFJKZ AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AIALX AIEXJ AIKHN AITUG AJOXV AKRWK ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ANKPU AOUOD ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CAG COF CS3 DM4 DU5 EBS EFBJH EJD EO8 EO9 EP2 EP3 F0J F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA GBOLZ HLZ HVGLF HZ~ IHE J1W JJJVA KOM LG5 LG9 LY7 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SBC SDF SDG SDP SES SET SEW SPC SPCBC SST SSV SSZ T5K WUQ XPP ZMT ZU3 ~G- 9DU AATTM AAYWO AAYXX ACLOT ACVFH ADCNI AEUPX AFPUW AGQPQ AIGII AIIUN AKBMS AKYEP APXCP CITATION EFKBS EFLBG ~HD |
| ID | FETCH-LOGICAL-c249t-d334455c0e8c8eebd47f15b433cbaf3b7978c2b58966e32e7aa4f8cc5f0ce98a3 |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001412454500001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1051-2004 |
| IngestDate | Sat Nov 29 05:58:11 EST 2025 Sat Feb 22 15:42:47 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Output-error model Statistical signal processing Auxiliary model Random time delays Recursive expectation maximization |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c249t-d334455c0e8c8eebd47f15b433cbaf3b7978c2b58966e32e7aa4f8cc5f0ce98a3 |
| ORCID | 0009-0002-7306-3670 0000-0002-0151-3188 |
| ParticipantIDs | crossref_primary_10_1016_j_dsp_2024_104951 elsevier_sciencedirect_doi_10_1016_j_dsp_2024_104951 |
| PublicationCentury | 2000 |
| PublicationDate | March 2025 2025-03-00 |
| PublicationDateYYYYMMDD | 2025-03-01 |
| PublicationDate_xml | – month: 03 year: 2025 text: March 2025 |
| PublicationDecade | 2020 |
| PublicationTitle | Digital signal processing |
| PublicationYear | 2025 |
| Publisher | Elsevier Inc |
| Publisher_xml | – name: Elsevier Inc |
| References | Gu, Chen, Li, Yin (br0190) 2024; 361 Li, Liu (br0690) 2021; 35 Wang, Krstic (br0100) 2022; 68 Bai, Ye (br0130) 1999; 44 Liu, Yang (br0250) 2022; 69 Zhou (br0660) 2021; 68 Xing (br0090) 2024; 442 Miao, Yang (br0620) 2023; 434 Hu, Ji, Ma (br0310) 2023; 37 Liu, Yang (br0160) 2024; 361 Xu (br0370) 2022; 20 Liu, Zhang, Zhu, Yang, Du (br0150) 2020; 40 Ji, Liu, Liu (br0360) 2023; 128 Ding, Chen, Qiu (br0700) 2006; 53 Zhu, Zhao, Luan, Liu (br0030) 2023; 134 Fan, Liu, Li (br0740) 2024; 43 Wang, Ji, Yang (br0580) 2020; 30 Ding, Xu, Zhang, Zhou, Luan (br0020) 2024; 57 Xu, Ding, Champagne (br0350) 2022; 29 Ding, Xu, Zhang, Ma (br0050) 2024; 34 Xu (br0590) 2024; 38 Li, Liu (br0670) 2021; 35 Chen, Zhao, Liu (br0240) 2020; 34 Fan, Liu (br0540) 2020; 30 Ding, Liu, Chu (br0450) 2013; 7 Wang, Tang, Deng (br0410) 2022; 32 Xing, Yang (br0280) 2023; 37 Chen, Gao, Liu, Wang, Zhu (br0290) 2023; 19 Li, Liu (br0720) 2020; 18 Yang, Liu, Li (br0210) 2020; 16 Cao, Ma, Xiao (br0610) 2017; 26 Wang, Ji, Wan, Bu (br0570) 2019; 356 Wang, Tang, Gu (br0420) 2022; 359 Ding, Xu, Zhang, Zhou (br0220) 2023; 33 Zhang, Yang (br0510) 2019; 33 Ding (br0330) 2023; 426 Cao, Wen, Ma (br0630) 2021; 60 Liu, Li (br0480) 2023; 37 Ding (br0440) 2014; 38 Wang, Ma, Xiong (br0460) 2023; 37 Morningred, Paden, Seborg, Mellichamp (br0300) 1992; 47 Wang, Hayat (br0230) 2021; 31 Ji, Jiang (br0340) 2023; 70 Ding, Liu, Ma (br0320) 2016; 301 Bai, Guo, Chen, Hao, Huang (br0170) 2021; 53 Xu (br0750) 2024; 43 Cao, Yang, Ma, Wen (br0600) 2022; 31 Malik, Chang, Chaudhary, Khan, Kiani, Shu, Raja (br0120) 2023; 167 Zhou (br0640) 2020; 27 Stojanovic, Filipovic (br0070) 2014; 33 Yang, Yang (br0010) 2024; 148 An, He, Wang (br0500) 2023; 37 Liu, Zhao, Wan, Luan, Liu (br0260) 2024; 34 Li, Liu (br0650) 2022; 20 Zhang (br0560) 2020; 30 Zhang, Zhang, Chen, Guo (br0180) 2023; 33 Zhou, Ling (br0680) 2023; 59 Zhou (br0710) 2024 Zhang (br0430) 2022; 29 Bi, Ji (br0470) 2023; 37 Ding, Liu, Chen, Yao (br0520) 2014; 97 Pu, Yang, Rong, Chen (br0060) 2021; 19 Xu (br0080) 2021; 31 Chen, Zhao, Liu (br0270) 2021; 358 Yang, Xiong, Wang, Liu (br0200) 2018; 40 Xu (br0400) 2022; 71 Zhang (br0550) 2020; 30 Yang, Liu (br0040) 2024; 43 Zhang, Guo, Hao, Chen, Huang (br0140) 2022; 115 Ji, Zhang, Kang, Yu (br0530) 2020; 30 Liu, Qin (br0730) 2024; 22 Ding (br0390) 2013; 37 Zhang (br0490) 2020; 51 Xu (br0380) 2023; 21 Chen, Ma, Gan, Zhu (br0110) 2022; 67 Li (10.1016/j.dsp.2024.104951_br0690) 2021; 35 Liu (10.1016/j.dsp.2024.104951_br0150) 2020; 40 An (10.1016/j.dsp.2024.104951_br0500) 2023; 37 Xu (10.1016/j.dsp.2024.104951_br0380) 2023; 21 Bi (10.1016/j.dsp.2024.104951_br0470) 2023; 37 Ji (10.1016/j.dsp.2024.104951_br0360) 2023; 128 Ding (10.1016/j.dsp.2024.104951_br0330) 2023; 426 Yang (10.1016/j.dsp.2024.104951_br0040) 2024; 43 Ding (10.1016/j.dsp.2024.104951_br0700) 2006; 53 Chen (10.1016/j.dsp.2024.104951_br0270) 2021; 358 Chen (10.1016/j.dsp.2024.104951_br0240) 2020; 34 Li (10.1016/j.dsp.2024.104951_br0720) 2020; 18 Ding (10.1016/j.dsp.2024.104951_br0320) 2016; 301 Wang (10.1016/j.dsp.2024.104951_br0100) 2022; 68 Ding (10.1016/j.dsp.2024.104951_br0390) 2013; 37 Ding (10.1016/j.dsp.2024.104951_br0440) 2014; 38 Hu (10.1016/j.dsp.2024.104951_br0310) 2023; 37 Xu (10.1016/j.dsp.2024.104951_br0350) 2022; 29 Ding (10.1016/j.dsp.2024.104951_br0020) 2024; 57 Liu (10.1016/j.dsp.2024.104951_br0160) 2024; 361 Zhang (10.1016/j.dsp.2024.104951_br0430) 2022; 29 Zhang (10.1016/j.dsp.2024.104951_br0510) 2019; 33 Xu (10.1016/j.dsp.2024.104951_br0370) 2022; 20 Zhou (10.1016/j.dsp.2024.104951_br0640) 2020; 27 Liu (10.1016/j.dsp.2024.104951_br0730) 2024; 22 Ding (10.1016/j.dsp.2024.104951_br0050) 2024; 34 Zhang (10.1016/j.dsp.2024.104951_br0560) 2020; 30 Li (10.1016/j.dsp.2024.104951_br0670) 2021; 35 Morningred (10.1016/j.dsp.2024.104951_br0300) 1992; 47 Pu (10.1016/j.dsp.2024.104951_br0060) 2021; 19 Zhang (10.1016/j.dsp.2024.104951_br0550) 2020; 30 Zhang (10.1016/j.dsp.2024.104951_br0490) 2020; 51 Stojanovic (10.1016/j.dsp.2024.104951_br0070) 2014; 33 Miao (10.1016/j.dsp.2024.104951_br0620) 2023; 434 Xu (10.1016/j.dsp.2024.104951_br0590) 2024; 38 Xu (10.1016/j.dsp.2024.104951_br0080) 2021; 31 Chen (10.1016/j.dsp.2024.104951_br0110) 2022; 67 Wang (10.1016/j.dsp.2024.104951_br0420) 2022; 359 Liu (10.1016/j.dsp.2024.104951_br0480) 2023; 37 Xing (10.1016/j.dsp.2024.104951_br0280) 2023; 37 Ji (10.1016/j.dsp.2024.104951_br0530) 2020; 30 Liu (10.1016/j.dsp.2024.104951_br0250) 2022; 69 Cao (10.1016/j.dsp.2024.104951_br0630) 2021; 60 Wang (10.1016/j.dsp.2024.104951_br0230) 2021; 31 Cao (10.1016/j.dsp.2024.104951_br0610) 2017; 26 Zhou (10.1016/j.dsp.2024.104951_br0660) 2021; 68 Wang (10.1016/j.dsp.2024.104951_br0410) 2022; 32 Ji (10.1016/j.dsp.2024.104951_br0340) 2023; 70 Xu (10.1016/j.dsp.2024.104951_br0400) 2022; 71 Ding (10.1016/j.dsp.2024.104951_br0450) 2013; 7 Wang (10.1016/j.dsp.2024.104951_br0580) 2020; 30 Zhang (10.1016/j.dsp.2024.104951_br0140) 2022; 115 Cao (10.1016/j.dsp.2024.104951_br0600) 2022; 31 Gu (10.1016/j.dsp.2024.104951_br0190) 2024; 361 Xu (10.1016/j.dsp.2024.104951_br0750) 2024; 43 Ding (10.1016/j.dsp.2024.104951_br0220) 2023; 33 Fan (10.1016/j.dsp.2024.104951_br0540) 2020; 30 Zhang (10.1016/j.dsp.2024.104951_br0180) 2023; 33 Yang (10.1016/j.dsp.2024.104951_br0210) 2020; 16 Liu (10.1016/j.dsp.2024.104951_br0260) 2024; 34 Yang (10.1016/j.dsp.2024.104951_br0010) 2024; 148 Xing (10.1016/j.dsp.2024.104951_br0090) 2024; 442 Yang (10.1016/j.dsp.2024.104951_br0200) 2018; 40 Fan (10.1016/j.dsp.2024.104951_br0740) 2024; 43 Bai (10.1016/j.dsp.2024.104951_br0170) 2021; 53 Chen (10.1016/j.dsp.2024.104951_br0290) 2023; 19 Zhu (10.1016/j.dsp.2024.104951_br0030) 2023; 134 Malik (10.1016/j.dsp.2024.104951_br0120) 2023; 167 Bai (10.1016/j.dsp.2024.104951_br0130) 1999; 44 Zhou (10.1016/j.dsp.2024.104951_br0680) 2023; 59 Wang (10.1016/j.dsp.2024.104951_br0460) 2023; 37 Wang (10.1016/j.dsp.2024.104951_br0570) 2019; 356 Zhou (10.1016/j.dsp.2024.104951_br0710) 2024 Li (10.1016/j.dsp.2024.104951_br0650) 2022; 20 Ding (10.1016/j.dsp.2024.104951_br0520) 2014; 97 |
| References_xml | – volume: 35 start-page: 240 year: 2021 end-page: 261 ident: br0690 article-title: Maximum likelihood hierarchical least squares-based iterative identification for dual-rate stochastic systems publication-title: Int. J. Adapt. Control Signal Process. – volume: 59 start-page: 2530 year: 2023 end-page: 2543 ident: br0680 article-title: Online network-based identification and its application in satellite attitude control systems publication-title: IEEE Trans. Aerosp. Electron. Syst. – volume: 148 year: 2024 ident: br0010 article-title: An efficient non-negative least mean squares algorithm based on q-gradient for system identification publication-title: Digit. Signal Process. – volume: 68 start-page: 3597 year: 2021 end-page: 3601 ident: br0660 article-title: Hierarchical estimation approach for RBF-AR models with regression weights based on the increasing data length publication-title: IEEE Trans. Circuits Syst. II, Express Briefs – volume: 34 start-page: 8768 year: 2024 end-page: 8784 ident: br0260 article-title: Online state and unknown inputs estimation for nonlinear systems with particle filter based recursive expectation-maximization algorithm publication-title: Int. J. Robust Nonlinear Control. – volume: 20 start-page: 432 year: 2022 end-page: 443 ident: br0370 article-title: Separable Newton recursive estimation method through system responses based on dynamically discrete measurements with increasing data length publication-title: Int. J. Control. Autom. Syst. – volume: 37 start-page: 2690 year: 2023 end-page: 2705 ident: br0500 article-title: Maximum likelihood based multi-innovation stochastic gradient identification algorithms for bilinear stochastic systems with arma noise publication-title: Int. J. Adapt. Control Signal Process. – volume: 47 start-page: 755 year: 1992 end-page: 762 ident: br0300 article-title: An adaptive nonlinear predictive controller publication-title: Chem. Eng. Sci. – volume: 37 start-page: 2247 year: 2023 end-page: 2275 ident: br0480 article-title: Unbiased recursive least squares identification methods for a class of nonlinear systems with irregularly missing data publication-title: Int. J. Adapt. Control Signal Process. – volume: 38 start-page: 255 year: 2024 end-page: 278 ident: br0590 article-title: Decomposition and composition modeling algorithms for control systems with colored noises publication-title: Int. J. Adapt. Control Signal Process. – volume: 44 start-page: 182 year: 1999 end-page: 186 ident: br0130 article-title: Constrained logarithmic least squares in parameter estimation publication-title: IEEE Trans. Autom. Control – volume: 358 start-page: 1103 year: 2021 end-page: 1121 ident: br0270 article-title: Robust identification of linear ARX models with recursive EM algorithm based on student's t-distribution publication-title: J. Franklin Inst. – volume: 34 start-page: 1120 year: 2024 end-page: 1147 ident: br0050 article-title: Hierarchical gradient- and least-squares-based iterative estimation algorithms for input-nonlinear output-error systems from measurement information by using the over-parameterization publication-title: Int. J. Robust Nonlinear Control – volume: 37 start-page: 1694 year: 2013 end-page: 1704 ident: br0390 article-title: Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling publication-title: Appl. Math. Model. – volume: 29 start-page: 947 year: 2022 end-page: 951 ident: br0350 article-title: Joint parameter and time-delay estimation for a class of nonlinear time-series models publication-title: IEEE Signal Process. Lett. – volume: 29 start-page: 399 year: 2022 end-page: 403 ident: br0430 article-title: Optimal adaptive filtering algorithm by using the fractional-order derivative publication-title: IEEE Signal Process. Lett. – volume: 18 start-page: 1581 year: 2020 end-page: 1592 ident: br0720 article-title: Maximum likelihood least squares based iterative estimation for a class of bilinear systems using the data filtering technique publication-title: Int. J. Control. Autom. Syst. – volume: 37 start-page: 1827 year: 2023 end-page: 1846 ident: br0470 article-title: Parameter estimation of fractional-order Hammerstein state space system based on the extended Kalman filter publication-title: Int. J. Adapt. Control Signal Process. – volume: 356 start-page: 10102 year: 2019 end-page: 10122 ident: br0570 article-title: Hierarchical recursive generalized extended least squares estimation algorithms for a class of nonlinear stochastic systems with colored noise publication-title: J. Franklin Inst. – volume: 128 year: 2023 ident: br0360 article-title: An identification algorithm of generalized time-varying systems based on the Taylor series expansion and applied to a pH process publication-title: J. Process Control – volume: 67 start-page: 6770 year: 2022 end-page: 6777 ident: br0110 article-title: Multidirection gradient iterative algorithm: a unified framework for gradient iterative and least squares algorithms publication-title: IEEE Trans. Autom. Control – volume: 60 start-page: 2115 year: 2021 end-page: 2125 ident: br0630 article-title: Tracking and collision avoidance of virtual coupling train control system publication-title: Alex. Eng. J. – volume: 53 start-page: 3613 year: 2021 end-page: 3623 ident: br0170 article-title: Variational Bayesian inference for robust identification of PWARX systems with time-varying time-delays publication-title: IEEE Trans. Cybern. – volume: 40 start-page: 22 year: 2020 end-page: 30 ident: br0150 article-title: Identification of nonlinear state-space time-delay system publication-title: Assem. Autom. – volume: 27 start-page: 1600 year: 2020 end-page: 1604 ident: br0640 article-title: Modeling nonlinear processes using the radial basis function-based state-dependent autoregressive models publication-title: IEEE Signal Process. Lett. – volume: 33 start-page: 97 year: 2014 end-page: 113 ident: br0070 article-title: Adaptive input design for identification of output error model with constrained output publication-title: Circuits Syst. Signal Process. – volume: 37 start-page: 1650 year: 2023 end-page: 1670 ident: br0310 article-title: Joint two-stage multi-innovation recursive least squares parameter and fractional-order estimation algorithm for the fractional-order input nonlinear output-error autoregressive model publication-title: Int. J. Adapt. Control Signal Process. – volume: 19 start-page: 7011 year: 2023 end-page: 7021 ident: br0290 article-title: A comprehensive expectation identification framework for multirate time-delayed systems publication-title: IEEE Trans. Ind. Inform. – volume: 38 start-page: 403 year: 2014 end-page: 412 ident: br0440 article-title: Combined state and least squares parameter estimation algorithms for dynamic systems publication-title: Appl. Math. Model. – volume: 442 year: 2024 ident: br0090 article-title: Auxiliary model-based hierarchical stochastic gradient methods for multiple-input multiple-output systems publication-title: J. Comput. Appl. Math. – volume: 40 start-page: 3498 year: 2018 end-page: 3506 ident: br0200 article-title: Parameter identification of nonlinear multirate time-delay system with uncertain output delays publication-title: Trans. Inst. Meas. Control – volume: 43 start-page: 3718 year: 2024 end-page: 3747 ident: br0750 article-title: Adaptive multi-innovation gradient identification algorithms for a controlled autoregressive autoregressive moving average model publication-title: Circuits Syst. Signal Process. – volume: 426 year: 2023 ident: br0330 article-title: Least squares parameter estimation and multi-innovation least squares methods for linear fitting problems from noisy data publication-title: J. Comput. Appl. Math. – volume: 51 start-page: 275 year: 2020 end-page: 290 ident: br0490 article-title: Hierarchical parameter and state estimation for bilinear systems publication-title: Int. J. Syst. Sci. – start-page: 571 year: 2024 end-page: 587 ident: br0710 article-title: A novel coupled recursive multivariate nonlinear time-series modelling method by using interactive identification publication-title: Appl. Math. Model. – volume: 30 start-page: 5492 year: 2020 end-page: 5509 ident: br0540 article-title: Two-stage auxiliary model gradient-based iterative algorithm for the input nonlinear controlled autoregressive system with variable-gain nonlinearity publication-title: Int. J. Robust Nonlinear Control – volume: 68 start-page: 5493 year: 2022 end-page: 5508 ident: br0100 article-title: Event-triggered adaptive control of a parabolic PDE-ODE cascade with piecewise-constant inputs and identification publication-title: IEEE Trans. Autom. Control – volume: 53 start-page: 349 year: 2006 end-page: 353 ident: br0700 article-title: Bias compensation based recursive least squares identification algorithm for miso systems publication-title: IEEE Trans. Circuits Syst. II, Express Briefs – volume: 359 start-page: 1782 year: 2022 end-page: 1802 ident: br0420 article-title: Parameter estimation for nonlinear Volterra systems by using the multi-innovation identification theory and tensor decomposition publication-title: J. Franklin Inst. – volume: 115 start-page: 134 year: 2022 end-page: 144 ident: br0140 article-title: Identification of errors-in-variables ARX model with time varying time delay publication-title: J. Process Control – volume: 30 start-page: 3607 year: 2020 end-page: 3623 ident: br0580 article-title: Decomposition-based multiinnovation gradient identification algorithms for a special bilinear system based on its input-output representation publication-title: Int. J. Robust Nonlinear Control – volume: 20 start-page: 2239 year: 2022 end-page: 2248 ident: br0650 article-title: Particle filtering-based iterative identification methods for a class of nonlinear systems with interval-varying measurements publication-title: Int. J. Control. Autom. Syst. – volume: 71 year: 2022 ident: br0400 article-title: Separable synchronous multi-innovation gradient-based iterative signal modeling from on-line measurements publication-title: IEEE Trans. Instrum. Meas. – volume: 32 start-page: 7304 year: 2022 end-page: 7318 ident: br0410 article-title: Modeling nonlinear systems using the tensor network B-spline and the multi-innovation identification theory publication-title: Int. J. Robust Nonlinear Control – volume: 30 start-page: 1373 year: 2020 end-page: 1393 ident: br0560 article-title: Recursive parameter estimation methods and convergence analysis for a special class of nonlinear systems publication-title: Int. J. Robust Nonlinear Control – volume: 37 start-page: 2706 year: 2023 end-page: 2724 ident: br0460 article-title: Expectation-maximization algorithm for bilinear state-space models with time-varying delays under non-Gaussian noise publication-title: Int. J. Adapt. Control Signal Process. – volume: 69 start-page: 4654 year: 2022 end-page: 4662 ident: br0250 article-title: Identification of nonlinear state-space systems with skewed measurement noises publication-title: IEEE Trans. Circuits Syst. I, Regul. Pap. – volume: 19 start-page: 3914 year: 2021 end-page: 3923 ident: br0060 article-title: Expectation maximization algorithm for time-delay output-error models based on finite impulse response method publication-title: Int. J. Control. Autom. Syst. – volume: 167 year: 2023 ident: br0120 article-title: Swarming intelligence heuristics for fractional nonlinear autoregressive exogenous noise systems publication-title: Chaos Solitons Fractals – volume: 33 start-page: 4602 year: 2023 end-page: 4615 ident: br0180 article-title: Kernel-based regularization least squares algorithm for nonlinear time-delayed systems using self-organizing maps publication-title: Int. J. Robust Nonlinear Control – volume: 35 start-page: 2056 year: 2021 end-page: 2074 ident: br0670 article-title: Iterative identification methods for a class of bilinear systems by using the particle filtering technique publication-title: Int. J. Adapt. Control Signal Process. – volume: 70 start-page: 206 year: 2023 end-page: 210 ident: br0340 article-title: Filtering-based accelerated estimation approach for generalized time-varying systems with disturbances and colored noises publication-title: IEEE Trans. Circuits Syst. II, Express Briefs – volume: 31 start-page: 148 year: 2021 end-page: 165 ident: br0080 article-title: Auxiliary model multiinnovation stochastic gradient parameter estimation methods for nonlinear sandwich systems publication-title: Int. J. Robust Nonlinear Control – volume: 30 start-page: 1351 year: 2020 end-page: 1372 ident: br0550 article-title: Adaptive parameter estimation for a general dynamical system with unknown states publication-title: Int. J. Robust Nonlinear Control – volume: 16 start-page: 2413 year: 2020 end-page: 2422 ident: br0210 article-title: Multimodel approach to robust identification of multiple-input single-output nonlinear time-delay systems publication-title: IEEE Trans. Ind. Inform. – volume: 30 start-page: 3727 year: 2020 end-page: 3752 ident: br0530 article-title: Parameter estimation for block-oriented nonlinear systems using the key term separation publication-title: Int. J. Robust Nonlinear Control – volume: 57 year: 2024 ident: br0020 article-title: Recursive identification methods for general stochastic systems with colored noises by using the hierarchical identification principle and the filtering identification idea publication-title: Annu. Rev. Control – volume: 31 start-page: 4262 year: 2021 end-page: 4286 ident: br0230 article-title: Auxiliary model-based iterative parameter estimation for a nonlinear output-error system with saturation and dead-zone nonlinearity publication-title: Int. J. Robust Nonlinear Control – volume: 7 start-page: 176 year: 2013 end-page: 184 ident: br0450 article-title: Gradient-based and least-squares-based iterative algorithms for Hammerstein systems using the hierarchical identification principle publication-title: IET Control Theory Appl. – volume: 34 start-page: 407 year: 2020 end-page: 426 ident: br0240 article-title: Online identification of time-delay jump Markov autoregressive exogenous systems with recursive expectation-maximization algorithm publication-title: Int. J. Adapt. Control Signal Process. – volume: 361 year: 2024 ident: br0190 article-title: Multiple-model state-space system identification with time delay using the EM algorithm publication-title: J. Franklin Inst. – volume: 361 year: 2024 ident: br0160 article-title: Multimodel Bayesian estimation for LPV time-delay systems with incomplete observations publication-title: J. Franklin Inst. – volume: 21 start-page: 1780 year: 2023 end-page: 1792 ident: br0380 article-title: Parameter estimation for nonlinear functions related to system responses publication-title: Int. J. Control. Autom. Syst. – volume: 37 start-page: 2983 year: 2023 end-page: 3007 ident: br0280 article-title: Hierarchical recursive least squares parameter estimation methods for multiple-input multiple-output systems by using the auxiliary models publication-title: Int. J. Adapt. Control Signal Process. – volume: 22 start-page: 3509 year: 2024 end-page: 3524 ident: br0730 article-title: Parameter estimation and model-free multi-innovation adaptive control algorithms publication-title: Int. J. Control. Autom. Syst. – volume: 43 start-page: 124 year: 2024 end-page: 151 ident: br0040 article-title: Hierarchical gradient-based iterative parameter estimation algorithms for a nonlinear feedback system based on the hierarchical identification principle publication-title: Circuits Syst. Signal Process. – volume: 33 start-page: 5510 year: 2023 end-page: 5535 ident: br0220 article-title: Filtered auxiliary model recursive generalized extended parameter estimation methods for Box–Jenkins systems by means of the filtering identification idea publication-title: Int. J. Robust Nonlinear Control – volume: 434 year: 2023 ident: br0620 article-title: Iterative parameter identification algorithms for transformed dynamic rational fraction input-output systems publication-title: J. Comput. Appl. Math. – volume: 43 start-page: 6874 year: 2024 end-page: 6910 ident: br0740 article-title: Data filtering-based maximum likelihood gradient-based iterative algorithm for input nonlinear box-jenkins systems with saturation nonlinearity publication-title: Circuits Syst. Signal Process. – volume: 134 year: 2023 ident: br0030 article-title: Maximum likelihood FIR filter for systems with Bernoulli distributed random delays and measurement failures publication-title: Digit. Signal Process. – volume: 33 start-page: 1157 year: 2019 end-page: 1173 ident: br0510 article-title: State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors publication-title: Int. J. Adapt. Control Signal Process. – volume: 26 start-page: 1057 year: 2017 end-page: 1063 ident: br0610 article-title: Standard analysis for transfer delay in CTCS-3 publication-title: Chin. J. Electron. – volume: 301 start-page: 135 year: 2016 end-page: 143 ident: br0320 article-title: Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition publication-title: J. Comput. Appl. Math. – volume: 31 start-page: 897 year: 2022 end-page: 905 ident: br0600 article-title: Research on virtual coupled train control method based on GPC & VAPF publication-title: Chin. J. Electron. – volume: 97 start-page: 31 year: 2014 end-page: 39 ident: br0520 article-title: Hierarchical gradient based and hierarchical least squares based iterative parameter identification for cararma systems publication-title: Signal Process. – volume: 29 start-page: 399 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0430 article-title: Optimal adaptive filtering algorithm by using the fractional-order derivative publication-title: IEEE Signal Process. Lett. doi: 10.1109/LSP.2021.3136504 – volume: 38 start-page: 403 issue: 1 year: 2014 ident: 10.1016/j.dsp.2024.104951_br0440 article-title: Combined state and least squares parameter estimation algorithms for dynamic systems publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2013.06.007 – volume: 16 start-page: 2413 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0210 article-title: Multimodel approach to robust identification of multiple-input single-output nonlinear time-delay systems publication-title: IEEE Trans. Ind. Inform. doi: 10.1109/TII.2019.2933030 – volume: 33 start-page: 4602 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0180 article-title: Kernel-based regularization least squares algorithm for nonlinear time-delayed systems using self-organizing maps publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.6632 – volume: 53 start-page: 349 issue: 5 year: 2006 ident: 10.1016/j.dsp.2024.104951_br0700 article-title: Bias compensation based recursive least squares identification algorithm for miso systems publication-title: IEEE Trans. Circuits Syst. II, Express Briefs doi: 10.1109/TCSII.2005.862281 – volume: 115 start-page: 134 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0140 article-title: Identification of errors-in-variables ARX model with time varying time delay publication-title: J. Process Control doi: 10.1016/j.jprocont.2022.04.019 – volume: 30 start-page: 1351 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0550 article-title: Adaptive parameter estimation for a general dynamical system with unknown states publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.4819 – volume: 60 start-page: 2115 issue: 2 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0630 article-title: Tracking and collision avoidance of virtual coupling train control system publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2020.12.010 – volume: 358 start-page: 1103 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0270 article-title: Robust identification of linear ARX models with recursive EM algorithm based on student's t-distribution publication-title: J. Franklin Inst. doi: 10.1016/j.jfranklin.2020.06.003 – volume: 70 start-page: 206 issue: 70 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0340 article-title: Filtering-based accelerated estimation approach for generalized time-varying systems with disturbances and colored noises publication-title: IEEE Trans. Circuits Syst. II, Express Briefs – volume: 442 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0090 article-title: Auxiliary model-based hierarchical stochastic gradient methods for multiple-input multiple-output systems publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2023.115687 – volume: 7 start-page: 176 issue: 2 year: 2013 ident: 10.1016/j.dsp.2024.104951_br0450 article-title: Gradient-based and least-squares-based iterative algorithms for Hammerstein systems using the hierarchical identification principle publication-title: IET Control Theory Appl. doi: 10.1049/iet-cta.2012.0313 – volume: 301 start-page: 135 year: 2016 ident: 10.1016/j.dsp.2024.104951_br0320 article-title: Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2016.01.042 – volume: 148 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0010 article-title: An efficient non-negative least mean squares algorithm based on q-gradient for system identification publication-title: Digit. Signal Process. doi: 10.1016/j.dsp.2024.104438 – volume: 51 start-page: 275 issue: 2 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0490 article-title: Hierarchical parameter and state estimation for bilinear systems publication-title: Int. J. Syst. Sci. doi: 10.1080/00207721.2019.1704093 – volume: 30 start-page: 3607 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0580 article-title: Decomposition-based multiinnovation gradient identification algorithms for a special bilinear system based on its input-output representation publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.4959 – volume: 426 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0330 article-title: Least squares parameter estimation and multi-innovation least squares methods for linear fitting problems from noisy data publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2023.115107 – volume: 33 start-page: 5510 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0220 article-title: Filtered auxiliary model recursive generalized extended parameter estimation methods for Box–Jenkins systems by means of the filtering identification idea publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.6657 – volume: 20 start-page: 2239 issue: 7 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0650 article-title: Particle filtering-based iterative identification methods for a class of nonlinear systems with interval-varying measurements publication-title: Int. J. Control. Autom. Syst. doi: 10.1007/s12555-021-0448-7 – volume: 37 start-page: 1650 issue: 7 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0310 article-title: Joint two-stage multi-innovation recursive least squares parameter and fractional-order estimation algorithm for the fractional-order input nonlinear output-error autoregressive model publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3593 – volume: 30 start-page: 1373 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0560 article-title: Recursive parameter estimation methods and convergence analysis for a special class of nonlinear systems publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.4824 – volume: 26 start-page: 1057 issue: 5 year: 2017 ident: 10.1016/j.dsp.2024.104951_br0610 article-title: Standard analysis for transfer delay in CTCS-3 publication-title: Chin. J. Electron. doi: 10.1049/cje.2017.08.024 – volume: 37 start-page: 2690 issue: 10 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0500 article-title: Maximum likelihood based multi-innovation stochastic gradient identification algorithms for bilinear stochastic systems with arma noise publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3655 – volume: 59 start-page: 2530 issue: 3 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0680 article-title: Online network-based identification and its application in satellite attitude control systems publication-title: IEEE Trans. Aerosp. Electron. Syst. doi: 10.1109/TAES.2022.3215946 – volume: 57 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0020 article-title: Recursive identification methods for general stochastic systems with colored noises by using the hierarchical identification principle and the filtering identification idea publication-title: Annu. Rev. Control doi: 10.1016/j.arcontrol.2024.100942 – volume: 97 start-page: 31 year: 2014 ident: 10.1016/j.dsp.2024.104951_br0520 article-title: Hierarchical gradient based and hierarchical least squares based iterative parameter identification for cararma systems publication-title: Signal Process. doi: 10.1016/j.sigpro.2013.10.018 – volume: 29 start-page: 947 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0350 article-title: Joint parameter and time-delay estimation for a class of nonlinear time-series models publication-title: IEEE Signal Process. Lett. doi: 10.1109/LSP.2022.3152108 – volume: 33 start-page: 1157 issue: 7 year: 2019 ident: 10.1016/j.dsp.2024.104951_br0510 article-title: State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3027 – volume: 69 start-page: 4654 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0250 article-title: Identification of nonlinear state-space systems with skewed measurement noises publication-title: IEEE Trans. Circuits Syst. I, Regul. Pap. doi: 10.1109/TCSI.2022.3193444 – volume: 67 start-page: 6770 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0110 article-title: Multidirection gradient iterative algorithm: a unified framework for gradient iterative and least squares algorithms publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2021.3132262 – volume: 359 start-page: 1782 issue: 2 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0420 article-title: Parameter estimation for nonlinear Volterra systems by using the multi-innovation identification theory and tensor decomposition publication-title: J. Franklin Inst. doi: 10.1016/j.jfranklin.2021.11.015 – volume: 37 start-page: 1827 issue: 7 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0470 article-title: Parameter estimation of fractional-order Hammerstein state space system based on the extended Kalman filter publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3602 – start-page: 571 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0710 article-title: A novel coupled recursive multivariate nonlinear time-series modelling method by using interactive identification publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2023.10.038 – volume: 43 start-page: 3718 issue: 6 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0750 article-title: Adaptive multi-innovation gradient identification algorithms for a controlled autoregressive autoregressive moving average model publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-024-02627-z – volume: 35 start-page: 2056 issue: 10 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0670 article-title: Iterative identification methods for a class of bilinear systems by using the particle filtering technique publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3308 – volume: 134 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0030 article-title: Maximum likelihood FIR filter for systems with Bernoulli distributed random delays and measurement failures publication-title: Digit. Signal Process. doi: 10.1016/j.dsp.2022.103904 – volume: 37 start-page: 1694 issue: 4 year: 2013 ident: 10.1016/j.dsp.2024.104951_br0390 article-title: Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2012.04.039 – volume: 68 start-page: 5493 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0100 article-title: Event-triggered adaptive control of a parabolic PDE-ODE cascade with piecewise-constant inputs and identification publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2022.3227916 – volume: 53 start-page: 3613 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0170 article-title: Variational Bayesian inference for robust identification of PWARX systems with time-varying time-delays publication-title: IEEE Trans. Cybern. doi: 10.1109/TCYB.2021.3125106 – volume: 43 start-page: 124 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0040 article-title: Hierarchical gradient-based iterative parameter estimation algorithms for a nonlinear feedback system based on the hierarchical identification principle publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-023-02477-1 – volume: 71 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0400 article-title: Separable synchronous multi-innovation gradient-based iterative signal modeling from on-line measurements publication-title: IEEE Trans. Instrum. Meas. – volume: 22 start-page: 3509 issue: 11 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0730 article-title: Parameter estimation and model-free multi-innovation adaptive control algorithms publication-title: Int. J. Control. Autom. Syst. doi: 10.1007/s12555-024-0430-2 – volume: 40 start-page: 3498 year: 2018 ident: 10.1016/j.dsp.2024.104951_br0200 article-title: Parameter identification of nonlinear multirate time-delay system with uncertain output delays publication-title: Trans. Inst. Meas. Control doi: 10.1177/0142331217733326 – volume: 37 start-page: 2706 issue: 10 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0460 article-title: Expectation-maximization algorithm for bilinear state-space models with time-varying delays under non-Gaussian noise publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3657 – volume: 35 start-page: 240 issue: 2 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0690 article-title: Maximum likelihood hierarchical least squares-based iterative identification for dual-rate stochastic systems publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3203 – volume: 40 start-page: 22 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0150 article-title: Identification of nonlinear state-space time-delay system publication-title: Assem. Autom. doi: 10.1108/AA-08-2018-115 – volume: 30 start-page: 3727 issue: 9 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0530 article-title: Parameter estimation for block-oriented nonlinear systems using the key term separation publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.4961 – volume: 38 start-page: 255 issue: 1 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0590 article-title: Decomposition and composition modeling algorithms for control systems with colored noises publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3699 – volume: 34 start-page: 407 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0240 article-title: Online identification of time-delay jump Markov autoregressive exogenous systems with recursive expectation-maximization algorithm publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3089 – volume: 43 start-page: 6874 issue: 11 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0740 article-title: Data filtering-based maximum likelihood gradient-based iterative algorithm for input nonlinear box-jenkins systems with saturation nonlinearity publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-024-02777-0 – volume: 434 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0620 article-title: Iterative parameter identification algorithms for transformed dynamic rational fraction input-output systems publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2023.115297 – volume: 361 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0160 article-title: Multimodel Bayesian estimation for LPV time-delay systems with incomplete observations publication-title: J. Franklin Inst. – volume: 44 start-page: 182 year: 1999 ident: 10.1016/j.dsp.2024.104951_br0130 article-title: Constrained logarithmic least squares in parameter estimation publication-title: IEEE Trans. Autom. Control doi: 10.1109/9.739123 – volume: 33 start-page: 97 year: 2014 ident: 10.1016/j.dsp.2024.104951_br0070 article-title: Adaptive input design for identification of output error model with constrained output publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-013-9633-0 – volume: 21 start-page: 1780 issue: 6 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0380 article-title: Parameter estimation for nonlinear functions related to system responses publication-title: Int. J. Control. Autom. Syst. doi: 10.1007/s12555-021-1028-6 – volume: 361 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0190 article-title: Multiple-model state-space system identification with time delay using the EM algorithm publication-title: J. Franklin Inst. doi: 10.1016/j.jfranklin.2024.107113 – volume: 31 start-page: 4262 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0230 article-title: Auxiliary model-based iterative parameter estimation for a nonlinear output-error system with saturation and dead-zone nonlinearity publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.5468 – volume: 30 start-page: 5492 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0540 article-title: Two-stage auxiliary model gradient-based iterative algorithm for the input nonlinear controlled autoregressive system with variable-gain nonlinearity publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.5084 – volume: 128 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0360 article-title: An identification algorithm of generalized time-varying systems based on the Taylor series expansion and applied to a pH process publication-title: J. Process Control doi: 10.1016/j.jprocont.2023.103007 – volume: 32 start-page: 7304 issue: 13 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0410 article-title: Modeling nonlinear systems using the tensor network B-spline and the multi-innovation identification theory publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.6221 – volume: 34 start-page: 8768 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0260 article-title: Online state and unknown inputs estimation for nonlinear systems with particle filter based recursive expectation-maximization algorithm publication-title: Int. J. Robust Nonlinear Control. doi: 10.1002/rnc.7416 – volume: 34 start-page: 1120 year: 2024 ident: 10.1016/j.dsp.2024.104951_br0050 article-title: Hierarchical gradient- and least-squares-based iterative estimation algorithms for input-nonlinear output-error systems from measurement information by using the over-parameterization publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.7014 – volume: 31 start-page: 897 issue: 5 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0600 article-title: Research on virtual coupled train control method based on GPC & VAPF publication-title: Chin. J. Electron. doi: 10.1049/cje.2021.00.241 – volume: 18 start-page: 1581 issue: 6 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0720 article-title: Maximum likelihood least squares based iterative estimation for a class of bilinear systems using the data filtering technique publication-title: Int. J. Control. Autom. Syst. doi: 10.1007/s12555-019-0191-5 – volume: 167 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0120 article-title: Swarming intelligence heuristics for fractional nonlinear autoregressive exogenous noise systems publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2022.113085 – volume: 37 start-page: 2983 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0280 article-title: Hierarchical recursive least squares parameter estimation methods for multiple-input multiple-output systems by using the auxiliary models publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3669 – volume: 68 start-page: 3597 issue: 12 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0660 article-title: Hierarchical estimation approach for RBF-AR models with regression weights based on the increasing data length publication-title: IEEE Trans. Circuits Syst. II, Express Briefs – volume: 20 start-page: 432 issue: 2 year: 2022 ident: 10.1016/j.dsp.2024.104951_br0370 article-title: Separable Newton recursive estimation method through system responses based on dynamically discrete measurements with increasing data length publication-title: Int. J. Control. Autom. Syst. doi: 10.1007/s12555-020-0619-y – volume: 19 start-page: 3914 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0060 article-title: Expectation maximization algorithm for time-delay output-error models based on finite impulse response method publication-title: Int. J. Control. Autom. Syst. doi: 10.1007/s12555-021-0241-7 – volume: 31 start-page: 148 year: 2021 ident: 10.1016/j.dsp.2024.104951_br0080 article-title: Auxiliary model multiinnovation stochastic gradient parameter estimation methods for nonlinear sandwich systems publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.5266 – volume: 356 start-page: 10102 year: 2019 ident: 10.1016/j.dsp.2024.104951_br0570 article-title: Hierarchical recursive generalized extended least squares estimation algorithms for a class of nonlinear stochastic systems with colored noise publication-title: J. Franklin Inst. doi: 10.1016/j.jfranklin.2019.06.032 – volume: 47 start-page: 755 year: 1992 ident: 10.1016/j.dsp.2024.104951_br0300 article-title: An adaptive nonlinear predictive controller publication-title: Chem. Eng. Sci. doi: 10.1016/0009-2509(92)80266-F – volume: 37 start-page: 2247 issue: 8 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0480 article-title: Unbiased recursive least squares identification methods for a class of nonlinear systems with irregularly missing data publication-title: Int. J. Adapt. Control Signal Process. doi: 10.1002/acs.3637 – volume: 19 start-page: 7011 year: 2023 ident: 10.1016/j.dsp.2024.104951_br0290 article-title: A comprehensive expectation identification framework for multirate time-delayed systems publication-title: IEEE Trans. Ind. Inform. doi: 10.1109/TII.2022.3194656 – volume: 27 start-page: 1600 year: 2020 ident: 10.1016/j.dsp.2024.104951_br0640 article-title: Modeling nonlinear processes using the radial basis function-based state-dependent autoregressive models publication-title: IEEE Signal Process. Lett. doi: 10.1109/LSP.2020.3021925 |
| SSID | ssj0007426 |
| Score | 2.388441 |
| Snippet | This article considers the identification of output-error (OE) models with random time delays under the framework of a recursive expectation maximization (REM)... |
| SourceID | crossref elsevier |
| SourceType | Index Database Publisher |
| StartPage | 104951 |
| SubjectTerms | Auxiliary model Output-error model Random time delays Recursive expectation maximization Statistical signal processing |
| Title | Online identification for output-error models with random time delays based on auxiliary model and recursive expectation maximization algorithm |
| URI | https://dx.doi.org/10.1016/j.dsp.2024.104951 |
| Volume | 158 |
| WOSCitedRecordID | wos001412454500001&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 issn: 1051-2004 databaseCode: AIEXJ dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: false ssIdentifier: ssj0007426 providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Pb9MwFLdKxwEOaPwTYwz5wIkqU5fY2DlOMARITByGKKfIdpziqk2rNJnCp-Az7JvyHDt_OpjEDlyi1rJdK-_X957t33sPoVdhLJkCzyGQGfzdCIlZIMEMBJwIFU2VvdAVTbEJdn7OZ7P4y2h01cbCXC5ZnvO6jjf_VdTQBsK2obO3EHc3KTTAZxA6PEHs8PwnwbvkoROTeh5QzyZcV-WmKgNdFPClKYHjY9vAXqU2ysSsbBTVUvzcTqx1S-1NgqhqszSWW9eMcHx0e0jf8N5tgQDlCYsrUZuVD-uciOV8XcDcq6H3-87MbY2SiSWN2AgwF6TQGk9LCzKO7Z3Pf1Q9bD87Pm-V10bstn2vFqZD5sx4evE3DSseHmeEtOdzeQ0MWsLJc6iiXXp3r2RhBxm7LLV_6H93FLE4Trc2F2lIjvu-u7m2r9nAjpnYkt4WCUyR2CkSN8UdtBcyGvMx2jv9eDb71Jl7Rpqaft2626vzhkR4bR1_d34GDs3FPnrgdyL41CHoIRrp_BG6P8hP-Rj9cljCu1jCgCU8xBJ2WMIWS9hhCVssYYcl3GAJw8AOS24Ehq64wxIeYAkPsYQ7LD1BX9-fXbz9EPgKHoGCbX0ZpFFECKVqqrniWsuUsOyEShJFSooskixmXIWScth06yjUTAiScaVoNlU65iJ6isb5OtfPELZ9NHiTNBMnRMso5pKGb8I0pKoJzj5Ar9tXm2xcopbkRmEeINK-_MR7ms6DTABINw97fpvfOET3eny_QOOyqPQRuqsuS7MtXnoU_QYAQqZl |
| linkProvider | Elsevier |
| 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=Online+identification+for+output-error+models+with+random+time+delays+based+on+auxiliary+model+and+recursive+expectation+maximization+algorithm&rft.jtitle=Digital+signal+processing&rft.au=Li%2C+Ronghuan&rft.au=Ma%2C+Junxia&rft.au=Ma%2C+Yujie&rft.au=Xiong%2C+Weili&rft.date=2025-03-01&rft.issn=1051-2004&rft.volume=158&rft.spage=104951&rft_id=info:doi/10.1016%2Fj.dsp.2024.104951&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_dsp_2024_104951 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1051-2004&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1051-2004&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1051-2004&client=summon |