Multistage parameter estimation algorithms for identification of bilinear systems
In this paper, two methods for parameter estimation of bilinear state-space systems with colored noise, which are expressed by ARMA model, are proposed. Using the hierarchical identification principle and gradient method, to reduce the computational cost, both the four-stage recursive least squares...
Uloženo v:
| Vydáno v: | Nonlinear dynamics Ročník 110; číslo 3; s. 2635 - 2655 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Dordrecht
Springer Netherlands
01.11.2022
Springer Nature B.V |
| Témata: | |
| ISSN: | 0924-090X, 1573-269X |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | In this paper, two methods for parameter estimation of bilinear state-space systems with colored noise, which are expressed by ARMA model, are proposed. Using the hierarchical identification principle and gradient method, to reduce the computational cost, both the four-stage recursive least squares algorithm and the four-stage stochastic gradient algorithm are exploited by which parameter estimation error is reduced and the speed of convergence of parameters is increased. In addition, a bilinear state observer for state estimation is designed to make use of the estimated states in the four-stage recursive least squares and the four-stage stochastic gradient algorithms. Finally, a numerical example and a practical example are provided to indicate the superiority of the proposed methods. The results show that due to the data length increase, the estimation error of the parameters is reduced. Furthermore, the estimated parameters converge to the actual values in a short time. |
|---|---|
| AbstractList | In this paper, two methods for parameter estimation of bilinear state-space systems with colored noise, which are expressed by ARMA model, are proposed. Using the hierarchical identification principle and gradient method, to reduce the computational cost, both the four-stage recursive least squares algorithm and the four-stage stochastic gradient algorithm are exploited by which parameter estimation error is reduced and the speed of convergence of parameters is increased. In addition, a bilinear state observer for state estimation is designed to make use of the estimated states in the four-stage recursive least squares and the four-stage stochastic gradient algorithms. Finally, a numerical example and a practical example are provided to indicate the superiority of the proposed methods. The results show that due to the data length increase, the estimation error of the parameters is reduced. Furthermore, the estimated parameters converge to the actual values in a short time. |
| Author | Yin, Shen Arefi, Mohammad Mehdi Luo, Hao Shahriari, Fatemeh |
| Author_xml | – sequence: 1 givenname: Fatemeh surname: Shahriari fullname: Shahriari, Fatemeh organization: Department of Power and Control Engineering, School of Electrical and Computer Engineering, Shiraz University – sequence: 2 givenname: Mohammad Mehdi orcidid: 0000-0003-3986-8205 surname: Arefi fullname: Arefi, Mohammad Mehdi email: arefi@shirazu.ac.ir organization: Department of Power and Control Engineering, School of Electrical and Computer Engineering, Shiraz University – sequence: 3 givenname: Hao surname: Luo fullname: Luo, Hao organization: Department of Control Science and Engineering, School of Astronautics, Harbin Institute of Technology – sequence: 4 givenname: Shen surname: Yin fullname: Yin, Shen organization: Department of Mechanical and Industrial Engineering, Faculty of Engineering, Norwegian University of Science and Technology |
| BookMark | eNp9kE1LAzEQhoNUsK3-AU8LnqOTZLvZPUrxCyoiKPQWZtOkpmw3NUkP_ffGriB48DSHeZ-Zl2dCRr3vDSGXDK4ZgLyJjIFkFDinIGXZUDghYzaTgvKqWY7IGBpeUmhgeUYmMW4AQHCox-T1ed8lFxOuTbHDgFuTTChMTG6Lyfm-wG7tg0sf21hYHwq3Mn1y1ulh623Rus71BkMRDzGZbTwnpxa7aC5-5pS839-9zR_p4uXhaX67oFqwJlHktkTBAPlMVlzWbSt5BYi6BWBlzZisTFvq1aqWPMdgZqywyIyuEJgQWkzJ1XB3F_znPjdWG78PfX6puBSNgErKOqfqIaWDjzEYq7RLx-4poOsUA_UtUA0CVRaojgIVZJT_QXchWwmH_yExQDGH-7UJv63-ob4ADpeGDA |
| CitedBy_id | crossref_primary_10_1007_s00034_023_02477_1 crossref_primary_10_1002_rnc_8020 crossref_primary_10_1007_s00034_025_03068_y crossref_primary_10_1002_rnc_7323 crossref_primary_10_1007_s11071_024_10613_y crossref_primary_10_1007_s13369_024_09313_x crossref_primary_10_1002_rnc_6917 |
| Cites_doi | 10.1109/TNN.2009.2027233 10.1007/s00034-016-0337-0 10.1049/iet-cta.2018.0156 10.1007/s00034-017-0527-4 10.1080/00207178408933227 10.1007/s00034-017-0705-4 10.1049/iet-cta.2019.0413 10.1080/00207179.2015.1007530 10.1016/j.jfranklin.2013.11.018 10.1080/00207178608933641 10.1007/s00034-014-9839-9 10.1080/00207728508926701 10.1016/j.sigpro.2018.01.012 10.1007/s12555-019-0053-1 10.1109/DDCLS.2018.8515978 10.1049/ip-d.1989.0018 10.1007/s11071-012-0408-0 10.1016/j.jfranklin.2018.01.011 10.1016/j.jfranklin.2018.01.052 10.1109/87.736752 10.1016/j.ifacol.2017.08.2443 10.1016/j.dsp.2009.10.012 10.1016/j.chaos.2007.06.057 10.1016/j.isatra.2018.12.001 10.1049/iet-cta.2016.0202 10.1109/FUZZY.2009.5277361 10.1002/rnc.4824 10.1016/j.aml.2015.12.018 10.1016/j.nahs.2019.100818 10.1080/00207178708933743 10.1007/s00034-018-1015-1 10.1109/TAC.1974.1100617 10.1016/j.sigpro.2017.05.006 10.1016/j.jfranklin.2015.09.007 10.1109/TIE.2014.2312885 10.1007/s11071-018-4677-0 10.1016/j.isatra.2016.12.002 10.1007/s00034-018-0871-z 10.1007/s40295-013-0026-1 10.1016/j.jfranklin.2016.11.030 10.1007/s11071-017-3445-x 10.1109/TCYB.2016.2574754 10.1016/j.isatra.2018.12.015 10.1109/TAC.2005.856664 10.1177/1687814017730003 10.1007/s12555-018-0875-2 10.1016/j.cam.2019.112575 10.1016/j.jfranklin.2017.05.017 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| DBID | AAYXX CITATION 8FE 8FG ABJCF AFKRA BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS |
| DOI | 10.1007/s11071-022-07749-0 |
| DatabaseName | CrossRef ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central UK/Ireland ProQuest Central Technology Collection ProQuest One Community College ProQuest Central SciTech Premium Collection ProQuest Engineering Collection Engineering Database ProQuest Central Premium ProQuest One Academic ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection |
| DatabaseTitle | CrossRef Engineering Database Technology Collection ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic ProQuest Central (New) Engineering Collection ProQuest One Academic (New) |
| DatabaseTitleList | Engineering Database |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering |
| EISSN | 1573-269X |
| EndPage | 2655 |
| ExternalDocumentID | 10_1007_s11071_022_07749_0 |
| GroupedDBID | -5B -5G -BR -EM -Y2 -~C -~X .86 .DC .VR 06D 0R~ 0VY 123 1N0 1SB 2.D 203 28- 29N 29~ 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5QI 5VS 67Z 6NX 8FE 8FG 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFFNX AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARCEE ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BBWZM BDATZ BENPR BGLVJ BGNMA BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP EBLON EBS EIOEI EJD ESBYG F5P FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IHE IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV KOW L6V LAK LLZTM M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P9T PF0 PT4 PT5 PTHSS QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SCV SDH SDM SEG SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WH7 WK8 YLTOR Z45 Z5O Z7R Z7S Z7X Z7Y Z7Z Z83 Z86 Z88 Z8M Z8N Z8R Z8S Z8T Z8W Z8Z Z92 ZMTXR _50 ~A9 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION PHGZM PHGZT PQGLB DWQXO PKEHL PQEST PQQKQ PQUKI PRINS |
| ID | FETCH-LOGICAL-c319t-a2f4a310a2576278bb7260aacb001481176eb4cdd87231005ef3fa1ec6a0133c3 |
| IEDL.DBID | RSV |
| ISICitedReferencesCount | 9 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000839525900002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0924-090X |
| IngestDate | Wed Nov 05 01:35:54 EST 2025 Sat Nov 29 03:06:33 EST 2025 Tue Nov 18 20:33:35 EST 2025 Fri Feb 21 02:43:59 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Keywords | Gradient search Parameter estimation Bilinear systems Hierarchical identification |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c319t-a2f4a310a2576278bb7260aacb001481176eb4cdd87231005ef3fa1ec6a0133c3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0003-3986-8205 |
| PQID | 2739306778 |
| PQPubID | 2043746 |
| PageCount | 21 |
| ParticipantIDs | proquest_journals_2739306778 crossref_citationtrail_10_1007_s11071_022_07749_0 crossref_primary_10_1007_s11071_022_07749_0 springer_journals_10_1007_s11071_022_07749_0 |
| PublicationCentury | 2000 |
| PublicationDate | 20221100 2022-11-00 20221101 |
| PublicationDateYYYYMMDD | 2022-11-01 |
| PublicationDate_xml | – month: 11 year: 2022 text: 20221100 |
| PublicationDecade | 2020 |
| PublicationPlace | Dordrecht |
| PublicationPlace_xml | – name: Dordrecht |
| PublicationSubtitle | An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems |
| PublicationTitle | Nonlinear dynamics |
| PublicationTitleAbbrev | Nonlinear Dyn |
| PublicationYear | 2022 |
| Publisher | Springer Netherlands Springer Nature B.V |
| Publisher_xml | – name: Springer Netherlands – name: Springer Nature B.V |
| References | Bruni, Dipillo, Koch (CR16) 1974; 19 Chen, Ding (CR49) 2015; 34 Dai, Sinha (CR24) 1989; 136 Li, Liu, Ding (CR27) 2017; 89 Zhang, Li (CR6) 2014; 351 Yin, Gao, Qiu, Kaynak (CR14) 2016; 47 Li, Liu, Ding (CR26) 2017; 36 Kazemi, Arefi (CR32) 2017; 67 Zhang, Ding, Xu (CR47) 2020; 30 Arguello-Serrano, Velez-Reyes (CR20) 1999; 7 Hizir, Phan, Betti, Longman (CR38) 2012; 69 Gabr (CR37) 1986; 44 Zhang, Ding, Xu, Yang (CR15) 2018; 12 CR46 Ding, Wang, Xu, Wu (CR1) 2017; 354 CR45 Yin, Gao, Kaynak (CR13) 2014; 61 Mohler (CR23) 1991 Xu, Ding, Gu, Alsaedi, Hayat (CR33) 2017; 140 CR41 Xu (CR8) 2014; 236 Beauduin, Fujimoto (CR10) 2017; 50 Gibson, Wills, Ninness (CR28) 2005; 50 Ding, Chen, Xu, Dai, Li, Hayat (CR51) 2018; 355 Bianchi, Prandini, Piroddi (CR11) 2020; 35 Xu (CR9) 2017; 9 Meng (CR39) 2017; 36 Ding, Xu, Zhu (CR2) 2016; 10 Balatif, Abdelbaki, Rachik, Rachik (CR19) 2015; 3 Figalli, Cava, Tomasi (CR22) 1984; 39 Phan, Čelik (CR36) 2012; 59 Li, Liu, Ding (CR25) 2017; 354 Li, Liu (CR44) 2018; 147 Kazemi, Arefi, Alipouri (CR4) 2019; 88 Wang (CR3) 2016; 57 Liu, Ding (CR12) 2019; 38 Liu, Ding, Xu, Hayat (CR40) 2019; 38 Tsai, Li (CR42) 2009; 39 Fnaiech, Ljung (CR34) 1987; 45 Xu, Ding, Yang (CR31) 2019; 95 Zhang, Xu, Ding, Hayat (CR48) 2018; 355 Lu, Ding, Alsaedi, Hayat (CR43) 2019; 17 Wang, Zhang (CR5) 2015; 352 Zhang, Ding (CR50) 2019; 14 CR21 Xu, Ding (CR29) 2018; 37 Phan, Vicario, Longman, Betti (CR35) 2015; 88 Zhang, Luo, Liu (CR7) 2009; 20 Hafezi, Arefi (CR17) 2019; 88 Ding, Liu, Liu (CR30) 2010; 20 Hwang, Chen (CR18) 1985; 16 X Zhang (7749_CR50) 2019; 14 D Wang (7749_CR3) 2016; 57 RR Mohler (7749_CR23) 1991 MQ Phan (7749_CR35) 2015; 88 X Zhang (7749_CR47) 2020; 30 L Xu (7749_CR9) 2017; 9 Z Hafezi (7749_CR17) 2019; 88 H Dai (7749_CR24) 1989; 136 O Balatif (7749_CR19) 2015; 3 B Arguello-Serrano (7749_CR20) 1999; 7 G Figalli (7749_CR22) 1984; 39 H Xu (7749_CR31) 2019; 95 F Ding (7749_CR51) 2018; 355 MQ Phan (7749_CR36) 2012; 59 H Zhang (7749_CR7) 2009; 20 S Yin (7749_CR14) 2016; 47 M Li (7749_CR27) 2017; 89 M Kazemi (7749_CR4) 2019; 88 F Fnaiech (7749_CR34) 1987; 45 S Yin (7749_CR13) 2014; 61 7749_CR41 L Xu (7749_CR33) 2017; 140 H Chen (7749_CR49) 2015; 34 M Gabr (7749_CR37) 1986; 44 C Zhang (7749_CR6) 2014; 351 7749_CR46 S-H Tsai (7749_CR42) 2009; 39 7749_CR45 Q Liu (7749_CR12) 2019; 38 NB Hizir (7749_CR38) 2012; 69 L Xu (7749_CR29) 2018; 37 F Bianchi (7749_CR11) 2020; 35 M Li (7749_CR44) 2018; 147 D Wang (7749_CR5) 2015; 352 C Hwang (7749_CR18) 1985; 16 T Beauduin (7749_CR10) 2017; 50 F Ding (7749_CR30) 2010; 20 M Kazemi (7749_CR32) 2017; 67 F Ding (7749_CR1) 2017; 354 X Zhang (7749_CR15) 2018; 12 F Ding (7749_CR2) 2016; 10 D Meng (7749_CR39) 2017; 36 M Li (7749_CR25) 2017; 354 M Li (7749_CR26) 2017; 36 S Liu (7749_CR40) 2019; 38 L Xu (7749_CR8) 2014; 236 C Bruni (7749_CR16) 1974; 19 X Lu (7749_CR43) 2019; 17 S Gibson (7749_CR28) 2005; 50 X Zhang (7749_CR48) 2018; 355 7749_CR21 |
| References_xml | – ident: CR45 – volume: 95 start-page: 2079 issue: 3 year: 2019 end-page: 2092 ident: CR31 article-title: Modeling a nonlinear process using the exponential autoregressive time series model publication-title: Nonlinear Dyn. – volume: 3 start-page: 22 issue: 2 year: 2015 end-page: 31 ident: CR19 article-title: Optimal control for multi-input bilinear systems with an application in cancer chemotherapy publication-title: Int. J. Sci. Innov. Math. Res. (IJSIMR) – volume: 36 start-page: 1052 issue: 3 year: 2017 end-page: 1065 ident: CR39 article-title: Recursive least squares and multi-innovation gradient estimation algorithms for bilinear stochastic systems publication-title: Circuits Syst. Signal Process. – volume: 57 start-page: 13 year: 2016 end-page: 19 ident: CR3 article-title: Hierarchical parameter estimation for a class of MIMO Hammerstein systems based on the reframed models publication-title: Appl. Math. Lett. – volume: 36 start-page: 4541 issue: 11 year: 2017 end-page: 4568 ident: CR26 article-title: The gradient-based iterative estimation algorithms for bilinear systems with autoregressive noise publication-title: Circuits Syst. Signal Process. – volume: 136 start-page: 122 issue: 3 year: 1989 end-page: 126 ident: CR24 article-title: Robust recursive least-squares method with modified weights for bilinear system identification publication-title: IEE Proce. Control Theory Appl. – volume: 38 start-page: 590 issue: 2 year: 2019 end-page: 610 ident: CR12 article-title: Auxiliary model-based recursive generalized least squares algorithm for multivariate output-error autoregressive systems using the data filtering publication-title: Circuits Syst. Signal Process. – volume: 35 year: 2020 ident: CR11 article-title: A randomized two-stage iterative method for switched nonlinear systems identification publication-title: Nonlinear Anal. Hybrid Syst. – volume: 7 start-page: 56 issue: 1 year: 1999 end-page: 63 ident: CR20 article-title: Nonlinear control of a heating, ventilating, and air conditioning system with thermal load estimation publication-title: IEEE Trans. Control Syst. Technol. – volume: 354 start-page: 1321 issue: 3 year: 2017 end-page: 1339 ident: CR1 article-title: Decomposition based least squares iterative identification algorithm for multivariate pseudo-linear ARMA systems using the data filtering publication-title: J. Frankl. Inst. – volume: 20 start-page: 1490 issue: 9 year: 2009 end-page: 1503 ident: CR7 article-title: Neural-network-based near-optimal control for a class of discrete-time affine nonlinear systems with control constraints publication-title: IEEE Trans. Neural Netw. – ident: CR21 – volume: 89 start-page: 197 issue: 1 year: 2017 end-page: 211 ident: CR27 article-title: Least-squares-based iterative and gradient-based iterative estimation algorithms for bilinear systems publication-title: Nonlinear Dyn. – volume: 140 start-page: 97 year: 2017 end-page: 103 ident: CR33 article-title: A multi-innovation state and parameter estimation algorithm for a state space system with d-step state-delay publication-title: Signal Process. – volume: 59 start-page: 421 issue: 1 year: 2012 end-page: 440 ident: CR36 article-title: A superspace method for discrete-time bilinear model identification by interaction matrices publication-title: J. Astronaut. Sci. – ident: CR46 – volume: 354 start-page: 4861 issue: 12 year: 2017 end-page: 4881 ident: CR25 article-title: The maximum likelihood least squares based iterative estimation algorithm for bilinear systems with autoregressive moving average noise publication-title: J. Frankl. Inst. – volume: 351 start-page: 1483 issue: 3 year: 2014 end-page: 1500 ident: CR6 article-title: Adaptive iterative learning control for nonlinear pure-feedback systems with initial state error based on fuzzy approximation publication-title: J. Frankl. Inst. – volume: 17 start-page: 2037 issue: 8 year: 2019 end-page: 2045 ident: CR43 article-title: Decomposition-based gradient estimation algorithms for multivariable equation-error systems publication-title: Int. J. Control Autom. Syst. – volume: 355 start-page: 3079 issue: 6 year: 2018 end-page: 3103 ident: CR48 article-title: Combined state and parameter estimation for a bilinear state space system with moving average noise publication-title: J. Frankl. Inst. – volume: 355 start-page: 3737 issue: 8 year: 2018 end-page: 3752 ident: CR51 article-title: A hierarchical least squares identification algorithm for Hammerstein nonlinear systems using the key term separation publication-title: J. Franklin Inst. – volume: 37 start-page: 3046 issue: 7 year: 2018 end-page: 3069 ident: CR29 article-title: Iterative parameter estimation for signal models based on measured data publication-title: Circuits Syst. Signal Process. – volume: 30 start-page: 1373 issue: 4 year: 2020 end-page: 1393 ident: CR47 article-title: Recursive parameter estimation methods and convergence analysis for a special class of nonlinear systems publication-title: Int. J. Robust Nonlinear Control – volume: 50 start-page: 10870 issue: 1 year: 2017 end-page: 10875 ident: CR10 article-title: Identification of system dynamics with time delay: a two-stage frequency domain approach publication-title: IFAC-PapersOnLine – volume: 45 start-page: 453 issue: 2 year: 1987 end-page: 470 ident: CR34 article-title: Recursive identification of bilinear systems publication-title: Int. J. Control – volume: 39 start-page: 2028 issue: 5 year: 2009 end-page: 2040 ident: CR42 article-title: Robust fuzzy control of a class of fuzzy bilinear systems with time-delay publication-title: Chaos, Solitons Fractals – volume: 20 start-page: 664 issue: 3 year: 2010 end-page: 677 ident: CR30 article-title: Gradient based and least-squares based iterative identification methods for OE and OEMA systems publication-title: Digital Signal Process. – volume: 352 start-page: 5292 issue: 11 year: 2015 end-page: 5307 ident: CR5 article-title: Improved least squares identification algorithm for multivariable Hammerstein systems publication-title: J. Frankl. Inst. – volume: 16 start-page: 641 issue: 5 year: 1985 end-page: 648 ident: CR18 article-title: Parameter identification of bilinear systems using the Galerkin method publication-title: Int. J. Syst. Sci. – volume: 236 start-page: 391 year: 2014 end-page: 399 ident: CR8 article-title: A proportional differential control method for a time-delay system using the Taylor expansion approximation publication-title: Appl. Math. Comput. – volume: 19 start-page: 334 issue: 4 year: 1974 end-page: 348 ident: CR16 article-title: Bilinear systems: an appealing class of" nearly linear" systems in theory and applications publication-title: IEEE Trans. Autom. Control – volume: 10 start-page: 2506 issue: 18 year: 2016 end-page: 2514 ident: CR2 article-title: Performance analysis of the generalised projection identification for time-varying systems publication-title: IET Control Theory Appl. – volume: 44 start-page: 911 issue: 4 year: 1986 end-page: 917 ident: CR37 article-title: A recursive (on-line) identification of bilinear systems publication-title: Int. J. Control – year: 1991 ident: CR23 publication-title: Nonlinear Systems (vol. 2) Applications to Bilinear Control – volume: 88 start-page: 1504 issue: 8 year: 2015 end-page: 1522 ident: CR35 article-title: Optimal bilinear observers for bilinear state-space models by interaction matrices publication-title: Int. J. Control – volume: 88 start-page: 50 year: 2019 end-page: 61 ident: CR17 article-title: Recursive generalized extended least squares and RML algorithms for identification of bilinear systems with ARMA noise publication-title: ISA Trans. – volume: 39 start-page: 1007 issue: 5 year: 1984 end-page: 1016 ident: CR22 article-title: An optimal feedback control for a bilinear model of induction motor drives publication-title: Int. J. Control – volume: 147 start-page: 23 year: 2018 end-page: 34 ident: CR44 article-title: The least squares based iterative algorithms for parameter estimation of a bilinear system with autoregressive noise using the data filtering technique publication-title: Signal Process. – volume: 47 start-page: 3649 issue: 11 year: 2016 end-page: 3657 ident: CR14 article-title: Fault detection for nonlinear process with deterministic disturbances: a just-in-time learning based data driven method publication-title: IEEE Trans. Cybern. – volume: 34 start-page: 61 issue: 1 year: 2015 end-page: 75 ident: CR49 article-title: Hierarchical least squares identification for Hammerstein nonlinear controlled autoregressive systems publication-title: Circuits Syst. Signal Process. – volume: 14 start-page: 677 issue: 5 year: 2019 end-page: 688 ident: CR50 article-title: Recursive parameter estimation and its convergence for bilinear systems publication-title: IET Control Theory Appl. – volume: 88 start-page: 73 year: 2019 end-page: 81 ident: CR4 article-title: Wiener model based GMVC design considering sensor noise and delay publication-title: ISA Trans. – volume: 9 start-page: 1687814017730003 issue: 11 year: 2017 ident: CR9 article-title: The parameter estimation algorithms based on the dynamical response measurement data publication-title: Adv. Mech. Eng. – volume: 67 start-page: 382 year: 2017 end-page: 388 ident: CR32 article-title: A fast iterative recursive least squares algorithm for Wiener model identification of highly nonlinear systems publication-title: ISA Trans. – volume: 38 start-page: 3251 issue: 7 year: 2019 end-page: 3268 ident: CR40 article-title: Hierarchical principle-based iterative parameter estimation algorithm for dual-frequency signals publication-title: Circuits Syst. Signal Process. – volume: 61 start-page: 6356 issue: 11 year: 2014 end-page: 6359 ident: CR13 article-title: Data-driven control and process monitoring for industrial applications—part I publication-title: IEEE Trans. Ind. Electron. – volume: 50 start-page: 1581 issue: 10 year: 2005 end-page: 1596 ident: CR28 article-title: Maximum-likelihood parameter estimation of bilinear systems publication-title: IEEE Trans. Autom. Control – volume: 12 start-page: 1704 issue: 12 year: 2018 end-page: 1713 ident: CR15 article-title: State filtering-based least squares parameter estimation for bilinear systems using the hierarchical identification principle publication-title: IET Control Theory Appl. – volume: 69 start-page: 2065 issue: 4 year: 2012 end-page: 2078 ident: CR38 article-title: Identification of discrete-time bilinear systems through equivalent linear models publication-title: Nonlinear Dyn. – ident: CR41 – volume: 20 start-page: 1490 issue: 9 year: 2009 ident: 7749_CR7 publication-title: IEEE Trans. Neural Netw. doi: 10.1109/TNN.2009.2027233 – volume: 36 start-page: 1052 issue: 3 year: 2017 ident: 7749_CR39 publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-016-0337-0 – volume: 12 start-page: 1704 issue: 12 year: 2018 ident: 7749_CR15 publication-title: IET Control Theory Appl. doi: 10.1049/iet-cta.2018.0156 – volume: 36 start-page: 4541 issue: 11 year: 2017 ident: 7749_CR26 publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-017-0527-4 – volume: 39 start-page: 1007 issue: 5 year: 1984 ident: 7749_CR22 publication-title: Int. J. Control doi: 10.1080/00207178408933227 – volume-title: Nonlinear Systems (vol. 2) Applications to Bilinear Control year: 1991 ident: 7749_CR23 – volume: 37 start-page: 3046 issue: 7 year: 2018 ident: 7749_CR29 publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-017-0705-4 – volume: 14 start-page: 677 issue: 5 year: 2019 ident: 7749_CR50 publication-title: IET Control Theory Appl. doi: 10.1049/iet-cta.2019.0413 – volume: 88 start-page: 1504 issue: 8 year: 2015 ident: 7749_CR35 publication-title: Int. J. Control doi: 10.1080/00207179.2015.1007530 – volume: 351 start-page: 1483 issue: 3 year: 2014 ident: 7749_CR6 publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2013.11.018 – volume: 44 start-page: 911 issue: 4 year: 1986 ident: 7749_CR37 publication-title: Int. J. Control doi: 10.1080/00207178608933641 – volume: 34 start-page: 61 issue: 1 year: 2015 ident: 7749_CR49 publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-014-9839-9 – volume: 16 start-page: 641 issue: 5 year: 1985 ident: 7749_CR18 publication-title: Int. J. Syst. Sci. doi: 10.1080/00207728508926701 – volume: 147 start-page: 23 year: 2018 ident: 7749_CR44 publication-title: Signal Process. doi: 10.1016/j.sigpro.2018.01.012 – ident: 7749_CR41 doi: 10.1007/s12555-019-0053-1 – ident: 7749_CR46 doi: 10.1109/DDCLS.2018.8515978 – volume: 236 start-page: 391 year: 2014 ident: 7749_CR8 publication-title: Appl. Math. Comput. – volume: 136 start-page: 122 issue: 3 year: 1989 ident: 7749_CR24 publication-title: IEE Proce. Control Theory Appl. doi: 10.1049/ip-d.1989.0018 – volume: 69 start-page: 2065 issue: 4 year: 2012 ident: 7749_CR38 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-012-0408-0 – volume: 355 start-page: 3079 issue: 6 year: 2018 ident: 7749_CR48 publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2018.01.011 – volume: 355 start-page: 3737 issue: 8 year: 2018 ident: 7749_CR51 publication-title: J. Franklin Inst. doi: 10.1016/j.jfranklin.2018.01.052 – volume: 7 start-page: 56 issue: 1 year: 1999 ident: 7749_CR20 publication-title: IEEE Trans. Control Syst. Technol. doi: 10.1109/87.736752 – volume: 50 start-page: 10870 issue: 1 year: 2017 ident: 7749_CR10 publication-title: IFAC-PapersOnLine doi: 10.1016/j.ifacol.2017.08.2443 – volume: 20 start-page: 664 issue: 3 year: 2010 ident: 7749_CR30 publication-title: Digital Signal Process. doi: 10.1016/j.dsp.2009.10.012 – volume: 39 start-page: 2028 issue: 5 year: 2009 ident: 7749_CR42 publication-title: Chaos, Solitons Fractals doi: 10.1016/j.chaos.2007.06.057 – volume: 88 start-page: 73 year: 2019 ident: 7749_CR4 publication-title: ISA Trans. doi: 10.1016/j.isatra.2018.12.001 – volume: 10 start-page: 2506 issue: 18 year: 2016 ident: 7749_CR2 publication-title: IET Control Theory Appl. doi: 10.1049/iet-cta.2016.0202 – ident: 7749_CR21 doi: 10.1109/FUZZY.2009.5277361 – volume: 30 start-page: 1373 issue: 4 year: 2020 ident: 7749_CR47 publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.4824 – volume: 57 start-page: 13 year: 2016 ident: 7749_CR3 publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2015.12.018 – volume: 35 year: 2020 ident: 7749_CR11 publication-title: Nonlinear Anal. Hybrid Syst. doi: 10.1016/j.nahs.2019.100818 – volume: 45 start-page: 453 issue: 2 year: 1987 ident: 7749_CR34 publication-title: Int. J. Control doi: 10.1080/00207178708933743 – volume: 38 start-page: 3251 issue: 7 year: 2019 ident: 7749_CR40 publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-018-1015-1 – volume: 19 start-page: 334 issue: 4 year: 1974 ident: 7749_CR16 publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.1974.1100617 – volume: 140 start-page: 97 year: 2017 ident: 7749_CR33 publication-title: Signal Process. doi: 10.1016/j.sigpro.2017.05.006 – volume: 352 start-page: 5292 issue: 11 year: 2015 ident: 7749_CR5 publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2015.09.007 – volume: 61 start-page: 6356 issue: 11 year: 2014 ident: 7749_CR13 publication-title: IEEE Trans. Ind. Electron. doi: 10.1109/TIE.2014.2312885 – volume: 95 start-page: 2079 issue: 3 year: 2019 ident: 7749_CR31 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-018-4677-0 – volume: 67 start-page: 382 year: 2017 ident: 7749_CR32 publication-title: ISA Trans. doi: 10.1016/j.isatra.2016.12.002 – volume: 38 start-page: 590 issue: 2 year: 2019 ident: 7749_CR12 publication-title: Circuits Syst. Signal Process. doi: 10.1007/s00034-018-0871-z – volume: 59 start-page: 421 issue: 1 year: 2012 ident: 7749_CR36 publication-title: J. Astronaut. Sci. doi: 10.1007/s40295-013-0026-1 – volume: 354 start-page: 1321 issue: 3 year: 2017 ident: 7749_CR1 publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2016.11.030 – volume: 89 start-page: 197 issue: 1 year: 2017 ident: 7749_CR27 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-017-3445-x – volume: 47 start-page: 3649 issue: 11 year: 2016 ident: 7749_CR14 publication-title: IEEE Trans. Cybern. doi: 10.1109/TCYB.2016.2574754 – volume: 3 start-page: 22 issue: 2 year: 2015 ident: 7749_CR19 publication-title: Int. J. Sci. Innov. Math. Res. (IJSIMR) – volume: 88 start-page: 50 year: 2019 ident: 7749_CR17 publication-title: ISA Trans. doi: 10.1016/j.isatra.2018.12.015 – volume: 50 start-page: 1581 issue: 10 year: 2005 ident: 7749_CR28 publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2005.856664 – volume: 9 start-page: 168781401773000 issue: 11 year: 2017 ident: 7749_CR9 publication-title: Adv. Mech. Eng. doi: 10.1177/1687814017730003 – volume: 17 start-page: 2037 issue: 8 year: 2019 ident: 7749_CR43 publication-title: Int. J. Control Autom. Syst. doi: 10.1007/s12555-018-0875-2 – ident: 7749_CR45 doi: 10.1016/j.cam.2019.112575 – volume: 354 start-page: 4861 issue: 12 year: 2017 ident: 7749_CR25 publication-title: J. Frankl. Inst. doi: 10.1016/j.jfranklin.2017.05.017 |
| SSID | ssj0003208 |
| Score | 2.402181 |
| Snippet | In this paper, two methods for parameter estimation of bilinear state-space systems with colored noise, which are expressed by ARMA model, are proposed. Using... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 2635 |
| SubjectTerms | Accuracy Algorithms Automotive Engineering Classical Mechanics Control Convergence Decomposition Design Dynamical Systems Engineering Error reduction Identification Iterative methods Kalman filters Least squares Mechanical Engineering Methods Original Paper Parameter estimation Parameter identification State estimation State observers Vibration |
| SummonAdditionalLinks | – databaseName: Engineering Database dbid: M7S link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV09T8MwED1BYYCBQgFRKMgDG0SkzoeTCSFExVSBAKlb5DhOQWrT0hR-P3eO2wASXViyOF_y89nv7Lt3AOfS036MS58T6jhDB0VmjuRe6CghqRyjUEGqTLEJ0e9Hg0H8YDfcShtWuZgTzUSdTRTtkV9xkm4zcmfX03eHqkbR6aotobEOG6SS0DWhe0_LmdjjpiKdiz4G7UcMbNJMlTqHfg860pxiL4UfO-7Phalmm78OSM2602v-9493YccyTnZTDZE9WNNFC5qWfTJr22ULtr9JE-7Do8nMReo41IzkwccUNsNIkqPKdWRyNMSPzV_HJUPey94yG3ZUtU5yRlG3BdoRq8SiywN46d093947tvyCo9Au54hZ7ktkf5J8Ei6iNBXo_EipiGj5lKAa6tRXWRYJIoluoHMvl12tQom80lPeITSKSaGPgAWxDmLJ8eJhX3sKOQJ2TBbmUZCFwuVt6C76PlFWm5xKZIySWlWZ8EoQr8TglbhtuFg-M62UOVbe3VmAlFgrLZMaoTZcLmCum_9-2_Hqt53AFqeRZVIWO9CYzz70KWyqT8RtdmbG6BcAwur5 priority: 102 providerName: ProQuest |
| Title | Multistage parameter estimation algorithms for identification of bilinear systems |
| URI | https://link.springer.com/article/10.1007/s11071-022-07749-0 https://www.proquest.com/docview/2739306778 |
| Volume | 110 |
| WOSCitedRecordID | wos000839525900002&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: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1573-269X dateEnd: 20241212 omitProxy: false ssIdentifier: ssj0003208 issn: 0924-090X databaseCode: M7S dateStart: 19970101 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1573-269X dateEnd: 20241212 omitProxy: false ssIdentifier: ssj0003208 issn: 0924-090X databaseCode: BENPR dateStart: 19970101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVAVX databaseName: Springer Nature - Connect here FIRST to enable access customDbUrl: eissn: 1573-269X dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0003208 issn: 0924-090X databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1NT8JAEJ0Y8KAHUdSIItmDN21S-t2jGogngqCGW7PdbpEEiqHo73dmu6Vq1EQvvWy7aWd2dt50Z94AXHBbOiG6PsOTYYIBCk8MbtmeIXxO7Rh94cZCNZvwB4NgMgmHuigsL7PdyyNJtVNXxW4YqWDoa1G2pO-EBgbqdXR3ATVsGI2fNvuvbak-dCZGFvQXYqJLZb6f47M7qjDml2NR5W36jf-95z7saXTJrovlcABbMmtCQyNNpu04b8LuBxrCQ7hXVbgIE6eSERX4glJkGNFvFHWNjM-ny9Vs_bzIGWJcNkt0ilExukwZZdhmaDOsIIbOj-Cx33u4vTN0qwVDoA2uUT-pwxHpcYo_LD-IYx8DHc4FgSqHilE9GTsiSQKfAKHpytROeVcKjyOGtIV9DLVsmckTYG4o3ZBbeLHx622BeAA9YuKlgZt4vmm1oFtKPBKah5zaYcyjikGZJBihBCMlwchsweXmmZeChePXu9ulIiNtkXlkEfWfostrwVWpuGr459lO_3b7GexYpHtVrtiG2nr1Ks9hW7yhHlcdqN_0BsNRh1JMxx21bt8B_7bjWg |
| linkProvider | Springer Nature |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT4NAEJ5oNVEP1meszz3oSYl0eZWDMcZHalobjZr0hsuyVJPaaqka_5S_0ZkFWjWxNw9euAAblvmY_WaZ-QZgW1jK9nHpM1zlRxigiMgQ3HIN6Qlqx-hJJ5S62YTXaFSaTf9yDD7yWhhKq8x9onbUUVfSHvk-J-k2LXd2-PRsUNco-ruat9BIYVFT728YsiUH5ydo3x3Oz05vjqtG1lXAkAi3Pj5KbAskNYKoNvcqYeghpxdCt6q3qe7SVaEto6jiEfcxHRVbsSgr6QqkS5a0cNxxmEAawX2dKng98PwW1x3wTIxpaP-jmRXppKV6GGdh4M4p19OzfcP8vhAO2e2PH7J6nTsr_rc3NAezGaNmR-knMA9jqrMAxYxds8x3JQsw80V6cRGudOUxUuOWYiR__khpQYwkR9JaTibaLZxc__4xYcjr2UOUpVWlZ7sxo6ziDk6XpWLYyRLc_sk0l6HQ6XbUCjDHV44vOB4stK0lkQOhISI3rjiR65m8BOXc1oHMtNepBUg7GKpGEz4CxEeg8RGYJdgd3POUKo-MvHo9B0WQeaEkGCKiBHs5rIanfx9tdfRoWzBVvbmoB_XzRm0NpjmhWpdnrkOh33tRGzApX9GGvU39fTC4-2u4fQIj60Z2 |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEB5ERfRgtSpWq-7Bm4ameecoalGUUvFBb2Gz2dRCm5Ym-vud2SRNFRXESy67WZKZncw32ZlvAE65KS0fXZ_mSD_CAIVHGjdMRxMup3aMrrBDoZpNuN2u1-_7vYUqfpXtXh5J5jUNxNKUZK1pFLeqwjeMWjAMNihz0rV8DYP2FYsS6Slef3yZf4tNQ_Wk0zHKoD8S_aJs5vs1PrumCm9-OSJVnqdT-_8zb8FmgTrZRb5NtmFJJnWoFQiUFfad1mFjgZ5wBx5UdS7Cx4FkRBE-ptQZRrQceb0j46PBZDbMXscpQ-zLhlGRepSPTmJGmbcJ2hLLCaPTXXjuXD9d3mhFCwZNoG1mqLfY4ogAOcUlhuuFoYsBEOeCwJZFRaqODC0RRZ5LQFG3ZWzGvC2FwxFbmsLcg-Vkksh9YLYvbZ8beDHx7U2BOAE9ZeTEnh05rm40oF1KPxAFPzm1yRgFFbMySTBACQZKgoHegLP5PdOcnePX2c1SqUFhqWlgECWgotFrwHmpxGr459UO_jb9BNZ6V53g_rZ7dwjrBm0DVdHYhOVs9iaPYFW8o0pnx2oDfwAmJ-yQ |
| 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=Multistage+parameter+estimation+algorithms+for+identification+of+bilinear+systems&rft.jtitle=Nonlinear+dynamics&rft.au=Shahriari%2C+Fatemeh&rft.au=Arefi%2C+Mohammad+Mehdi&rft.au=Luo%2C+Hao&rft.au=Yin%2C+Shen&rft.date=2022-11-01&rft.pub=Springer+Netherlands&rft.issn=0924-090X&rft.eissn=1573-269X&rft.volume=110&rft.issue=3&rft.spage=2635&rft.epage=2655&rft_id=info:doi/10.1007%2Fs11071-022-07749-0&rft.externalDocID=10_1007_s11071_022_07749_0 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0924-090X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0924-090X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0924-090X&client=summon |