Parameter identification of vertical plane model for autonomous underwater vehicle based on hierarchical multi-innovation stochastic gradient algorithm

In this paper, the problem of online parameter identification of the vertical plane motion model for autonomous underwater vehicle (AUV) is investigated. The AUV model is processed based on the Euler discretization principle, and an AUV discretization model suitable for parameter identification is o...

Full description

Saved in:
Bibliographic Details
Published inMeasurement : journal of the International Measurement Confederation Vol. 252; p. 117316
Main Authors Liu, Yang, Wang, Longjin, An, Shun, Liu, Peng, Fan, Zhimin
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2025
Subjects
Online AccessGet full text
ISSN0263-2241
DOI10.1016/j.measurement.2025.117316

Cover

Abstract In this paper, the problem of online parameter identification of the vertical plane motion model for autonomous underwater vehicle (AUV) is investigated. The AUV model is processed based on the Euler discretization principle, and an AUV discretization model suitable for parameter identification is obtained. Aiming at the shortcomings of the traditional stochastic gradient (SG) algorithm in terms of accuracy, a multi-innovation stochastic gradient (MI-SG) algorithm is introduced to improve the accuracy of AUV parameter identification. To further improve the identification efficiency and accuracy, the AUV model is decomposed into two sub-models of smaller dimensions through the principle of hierarchical identification, and a hierarchical multi-innovation stochastic gradient (H-MI-SG) algorithm is developed. The H-MI-SG algorithm not only inherits the high accuracy features of MI-SG algorithm, but also effectively improves the convergence speed and accuracy of the identification algorithm through the hierarchical processing. Simulation results show that the H-MI-SG algorithm has better performance with 50% reduction in convergence time compared to MI-SG algorithm and 6.3% improvement in convergence accuracy compared to MI-SG algorithm. •Based on the Euler discretization idea, the AUV vertical plane discretization model is derived.•To improve the convergence speed, a hierarchical multi-innovation stochastic gradient algorithm is proposed.•The proposed system identification algorithm has online identification capability.
AbstractList In this paper, the problem of online parameter identification of the vertical plane motion model for autonomous underwater vehicle (AUV) is investigated. The AUV model is processed based on the Euler discretization principle, and an AUV discretization model suitable for parameter identification is obtained. Aiming at the shortcomings of the traditional stochastic gradient (SG) algorithm in terms of accuracy, a multi-innovation stochastic gradient (MI-SG) algorithm is introduced to improve the accuracy of AUV parameter identification. To further improve the identification efficiency and accuracy, the AUV model is decomposed into two sub-models of smaller dimensions through the principle of hierarchical identification, and a hierarchical multi-innovation stochastic gradient (H-MI-SG) algorithm is developed. The H-MI-SG algorithm not only inherits the high accuracy features of MI-SG algorithm, but also effectively improves the convergence speed and accuracy of the identification algorithm through the hierarchical processing. Simulation results show that the H-MI-SG algorithm has better performance with 50% reduction in convergence time compared to MI-SG algorithm and 6.3% improvement in convergence accuracy compared to MI-SG algorithm. •Based on the Euler discretization idea, the AUV vertical plane discretization model is derived.•To improve the convergence speed, a hierarchical multi-innovation stochastic gradient algorithm is proposed.•The proposed system identification algorithm has online identification capability.
ArticleNumber 117316
Author Fan, Zhimin
Liu, Peng
Liu, Yang
An, Shun
Wang, Longjin
Author_xml – sequence: 1
  givenname: Yang
  surname: Liu
  fullname: Liu, Yang
– sequence: 2
  givenname: Longjin
  orcidid: 0000-0003-1309-714X
  surname: Wang
  fullname: Wang, Longjin
  email: wljwlj1984@126.com
– sequence: 3
  givenname: Shun
  surname: An
  fullname: An, Shun
– sequence: 4
  givenname: Peng
  surname: Liu
  fullname: Liu, Peng
– sequence: 5
  givenname: Zhimin
  surname: Fan
  fullname: Fan, Zhimin
BookMark eNqNkE1OwzAQhb0oEm3hDuYAKbbT_HSJKv6kSrDo3prYk8ZVYle2U8RJuC4uYcESaaTRLN735r0FmVlnkZA7zlac8fL-uBoQwuhxQBtXgolixXmV83JG5kyUeSbEml-TRQhHxliZb8o5-XoHDwNG9NToJDOtURCNs9S19Iw-prOnpx4s0sFp7GnrPIUxOusGNwY6Wo3-Ay6AM3ZG9UgbCKhpQnQGPXjV_TCGsY8mM9a682QQolMdhORADx60Se4U-oPzJnbDDblqoQ94-7uXZP_0uN--ZLu359ftwy5TfFPETCHosmKYizWra8WRVagaLVShFHCsWN7UVZp8DbquCqZLgKasRcGZqFrIl2QzYZV3IXhs5cmbAfyn5ExeSpVH-adUeSlVTqUm7XbSYvrvnKLKoFIIhdp4VFFqZ_5B-QZSWpCZ
Cites_doi 10.1080/00207721.2019.1704093
10.1016/j.arcontrol.2024.100942
10.1002/acs.3669
10.1049/iet-cta.2019.0112
10.1002/acs.3420
10.1002/rnc.4819
10.1016/0304-4076(80)90041-X
10.1109/TAC.2005.854654
10.1002/acs.3593
10.1109/LSP.2021.3136504
10.1109/LSP.2022.3152108
10.1109/TSP.2005.862845
10.1007/s00034-024-02777-0
10.1002/acs.3027
10.1142/S0218127425500725
10.1016/j.oceaneng.2022.113128
10.1016/j.sysconle.2024.105762
10.1016/j.automatica.2004.05.001
10.3390/jmse10050581
10.1017/S0373463321000102
10.1002/rnc.6657
10.1002/rnc.7323
10.1016/j.sysconle.2024.105774
10.1109/TAC.2013.2254619
10.1002/rnc.4824
10.3934/era.2025061
10.1109/TAES.2022.3215946
10.1002/acs.3753
10.1016/j.margeo.2014.03.012
10.1016/j.tics.2010.05.001
10.1007/s00034-016-0337-0
10.1016/j.ijnaoe.2022.100437
10.1016/j.conengprac.2024.105902
10.1016/j.isatra.2022.02.011
10.1016/j.apor.2017.06.008
10.1109/JOE.2019.2930421
10.1016/j.neunet.2007.11.001
10.1109/TAC.2010.2050713
10.1002/acs.3367
10.1109/LSP.2024.3519897
10.1016/j.jfranklin.2021.04.006
10.1049/iet-spr.2019.0481
10.1016/S0005-1098(99)00214-9
10.1016/j.oceaneng.2022.112929
10.1109/TIE.2021.3062255
10.1002/rnc.7014
10.1002/acs.2995
10.1007/s12555-021-1028-6
10.1007/s12555-024-0430-2
10.1016/j.oceaneng.2019.106612
10.1016/j.jprocont.2023.103007
10.1016/j.oceaneng.2021.110452
10.1016/j.automatica.2016.05.024
10.1016/S1463-5003(02)00010-0
10.1007/s12555-020-0619-y
10.1016/j.isatra.2024.01.035
10.1016/j.cam.2023.115107
ContentType Journal Article
Copyright 2025 Elsevier Ltd
Copyright_xml – notice: 2025 Elsevier Ltd
DBID AAYXX
CITATION
DOI 10.1016/j.measurement.2025.117316
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Physics
ExternalDocumentID 10_1016_j_measurement_2025_117316
S026322412500675X
GroupedDBID --K
--M
.~1
0R~
1B1
1~.
1~5
4.4
457
4G.
5GY
5VS
7-5
71M
8P~
9JN
AAEDT
AAEDW
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AATTM
AAXKI
AAXUO
AAYWO
ABFRF
ABJNI
ABMAC
ABNEU
ACDAQ
ACFVG
ACGFO
ACGFS
ACIWK
ACRLP
ACVFH
ADBBV
ADCNI
ADEZE
ADTZH
AEBSH
AECPX
AEFWE
AEGXH
AEIPS
AEKER
AENEX
AEUPX
AFJKZ
AFPUW
AFTJW
AFXIZ
AGCQF
AGHFR
AGRNS
AGUBO
AGYEJ
AHHHB
AHJVU
AIEXJ
AIGII
AIIUN
AIKHN
AITUG
AIVDX
AKBMS
AKRWK
AKYEP
ALMA_UNASSIGNED_HOLDINGS
AMRAJ
ANKPU
APXCP
AXJTR
BJAXD
BKOJK
BLXMC
BNPGV
CS3
DU5
EBS
EFJIC
EFKBS
EO8
EO9
EP2
EP3
FDB
FIRID
FNPLU
FYGXN
G-Q
GBLVA
GS5
IHE
J1W
JJJVA
KOM
LY7
M41
MO0
N9A
O-L
O9-
OAUVE
OGIMB
OZT
P-8
P-9
P2P
PC.
Q38
RNS
ROL
RPZ
SDF
SDG
SES
SEW
SPC
SPCBC
SPD
SSQ
SST
SSZ
T5K
ZMT
~G-
29M
AAYXX
ABFNM
ABXDB
ACLOT
ACNNM
ASPBG
AVWKF
AZFZN
CITATION
EFLBG
EJD
FEDTE
FGOYB
G-2
HVGLF
HZ~
R2-
SET
WUQ
XPP
~HD
ID FETCH-LOGICAL-c195t-cead670e324088c1e07ecbd2c5cca1e703b87b8734ad8750d6aab68251027fa3
IEDL.DBID .~1
ISSN 0263-2241
IngestDate Wed Oct 01 05:52:27 EDT 2025
Sat Aug 09 17:31:40 EDT 2025
IsPeerReviewed true
IsScholarly true
Keywords Hierarchical principle
Multi-innovation stochastic gradient
Parameter identification
Vertical plane model
Autonomous underwater vehicle
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c195t-cead670e324088c1e07ecbd2c5cca1e703b87b8734ad8750d6aab68251027fa3
ORCID 0000-0003-1309-714X
ParticipantIDs crossref_primary_10_1016_j_measurement_2025_117316
elsevier_sciencedirect_doi_10_1016_j_measurement_2025_117316
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2025-08-01
2025-08-00
PublicationDateYYYYMMDD 2025-08-01
PublicationDate_xml – month: 08
  year: 2025
  text: 2025-08-01
  day: 01
PublicationDecade 2020
PublicationTitle Measurement : journal of the International Measurement Confederation
PublicationYear 2025
Publisher Elsevier Ltd
Publisher_xml – name: Elsevier Ltd
References Ding, Xu, Zhang, Zhou, Luan (b40) 2024; 57
Fang, Huang, Pu, Zhang (b1) 2022; 245
Kruschke (b18) 2010; 14
Zhang (b64) 2020; 30
Xing, Yang (b44) 2024; 186
Ding, Shi, Chen (b17) 2006; 54
Sun, Yang (b29) 2024
Song, Zhang, Zhang (b34) 2021; 69
Zhao, Zhang (b35) 2021; 74
Zhang (b51) 2022; 29
Prestero (b37) 2001; Vol. 1
Zhang (b49) 2020; 30
Zhang, Yang (b58) 2019; 33
Greene (b21) 1980; 13
Wang, Ji, Zhang, Xu (b55) 2022; 36
Fenucci, Fanelli, Consensi, Salavasidis, Pebody, Phillips (b4) 2024; 146
Xing (b52) 2023; 37
Liu, Qin (b41) 2024; 22
Zhou, Ling (b61) 2023; 59
Fan, Liu, Li (b39) 2024; 43
Ding, Shao, Xu, Zhang, Xu, Zhou (b28) 2024; 38
Xu (b48) 2025; 32
Zhang, Zhang, Wang, Wang (b30) 2022; 266
Ding, Xu, Zhang, Ma (b38) 2024; 34
Ding, Chen (b16) 2005; 50
Mayne, Rawlings, Rao, Scokaert (b12) 2000; 36
Patil, Khan, Korulla, Nagarajan, Sha (b3) 2022; 266
Ji, Liu, Liu (b9) 2023; 128
Meng, Zhang, Zhu (b32) 2022; 14
Zhang (b54) 2020; 51
Bonnabel (b22) 2013; 58
Liu, Wang (b46) 2024; 147
Fossen (b65) 2011
Li (b50) 2022; 36
Xu (b5) 2023; 21
Krasnopolsky, Chalikov, Tolman (b13) 2002; 4
Ding (b19) 2023; 426
Wang, Pan, Hu, Ke (b45) 2025; 35
Xue, Liu, Ji, Xue (b31) 2020; 195
Zhou (b26) 2022; 129
Ding, Chen (b15) 2004; 40
Zhou (b62) 2021; 68
Xu, Zhu (b10) 2022; 71
Ding, Ma, Pan, Yang (b7) 2021; 358
Zhao, Zhang, Liang (b36) 2022; 10
Luo, Li (b33) 2017; 67
Xu (b6) 2022; 20
Wynn, Huvenne, Le Bas, Murton, Connelly, Bett, Ruhl, Morris, Peakall, Parsons (b2) 2014; 352
Hagiwara, Fukumizu (b11) 2008; 21
Ding, Liu, Liu (b23) 2010; 55
Hu, Liu, Zhou (b25) 2014; 247
Xu, Champagne (b59) 2022; 29
Cardenas, de Barros (b14) 2019; 45
Wang (b63) 2016; 71
Hu, Ji, Ma (b56) 2023; 37
Björck (b20) 1990; 1
Pan, Wang, Hu (b43) 2025; 33
Xu, Zhu (b42) 2024; 186
Ji, Jiang (b8) 2023; 70
Pan, Ma, Sheng (b60) 2020; 14
Xu (b47) 2024
Zhang, Yang (b57) 2019; 33
Meng (b24) 2017; 36
Ma, Pan, Ding (b53) 2019; 13
Ding, Xu, Zhang, Zhou (b27) 2023; 33
Ding (10.1016/j.measurement.2025.117316_b38) 2024; 34
Zhao (10.1016/j.measurement.2025.117316_b35) 2021; 74
Liu (10.1016/j.measurement.2025.117316_b41) 2024; 22
Xue (10.1016/j.measurement.2025.117316_b31) 2020; 195
Xu (10.1016/j.measurement.2025.117316_b5) 2023; 21
Pan (10.1016/j.measurement.2025.117316_b43) 2025; 33
Ding (10.1016/j.measurement.2025.117316_b27) 2023; 33
Zhao (10.1016/j.measurement.2025.117316_b36) 2022; 10
Ding (10.1016/j.measurement.2025.117316_b40) 2024; 57
Zhou (10.1016/j.measurement.2025.117316_b62) 2021; 68
Li (10.1016/j.measurement.2025.117316_b50) 2022; 36
Fang (10.1016/j.measurement.2025.117316_b1) 2022; 245
Ding (10.1016/j.measurement.2025.117316_b23) 2010; 55
Wang (10.1016/j.measurement.2025.117316_b45) 2025; 35
Ding (10.1016/j.measurement.2025.117316_b17) 2006; 54
Fan (10.1016/j.measurement.2025.117316_b39) 2024; 43
Ding (10.1016/j.measurement.2025.117316_b7) 2021; 358
Björck (10.1016/j.measurement.2025.117316_b20) 1990; 1
Mayne (10.1016/j.measurement.2025.117316_b12) 2000; 36
Sun (10.1016/j.measurement.2025.117316_b29) 2024
Xu (10.1016/j.measurement.2025.117316_b48) 2025; 32
Zhang (10.1016/j.measurement.2025.117316_b58) 2019; 33
Xu (10.1016/j.measurement.2025.117316_b47) 2024
Prestero (10.1016/j.measurement.2025.117316_b37) 2001; Vol. 1
Greene (10.1016/j.measurement.2025.117316_b21) 1980; 13
Hu (10.1016/j.measurement.2025.117316_b56) 2023; 37
Xu (10.1016/j.measurement.2025.117316_b59) 2022; 29
Zhang (10.1016/j.measurement.2025.117316_b30) 2022; 266
Xu (10.1016/j.measurement.2025.117316_b10) 2022; 71
Ji (10.1016/j.measurement.2025.117316_b9) 2023; 128
Ding (10.1016/j.measurement.2025.117316_b19) 2023; 426
Xu (10.1016/j.measurement.2025.117316_b6) 2022; 20
Kruschke (10.1016/j.measurement.2025.117316_b18) 2010; 14
Wang (10.1016/j.measurement.2025.117316_b55) 2022; 36
Ji (10.1016/j.measurement.2025.117316_b8) 2023; 70
Zhang (10.1016/j.measurement.2025.117316_b51) 2022; 29
Luo (10.1016/j.measurement.2025.117316_b33) 2017; 67
Patil (10.1016/j.measurement.2025.117316_b3) 2022; 266
Zhou (10.1016/j.measurement.2025.117316_b26) 2022; 129
Xing (10.1016/j.measurement.2025.117316_b52) 2023; 37
Zhang (10.1016/j.measurement.2025.117316_b54) 2020; 51
Hu (10.1016/j.measurement.2025.117316_b25) 2014; 247
Pan (10.1016/j.measurement.2025.117316_b60) 2020; 14
Ding (10.1016/j.measurement.2025.117316_b16) 2005; 50
Liu (10.1016/j.measurement.2025.117316_b46) 2024; 147
Meng (10.1016/j.measurement.2025.117316_b24) 2017; 36
Bonnabel (10.1016/j.measurement.2025.117316_b22) 2013; 58
Xing (10.1016/j.measurement.2025.117316_b44) 2024; 186
Cardenas (10.1016/j.measurement.2025.117316_b14) 2019; 45
Ding (10.1016/j.measurement.2025.117316_b15) 2004; 40
Zhang (10.1016/j.measurement.2025.117316_b49) 2020; 30
Wang (10.1016/j.measurement.2025.117316_b63) 2016; 71
Song (10.1016/j.measurement.2025.117316_b34) 2021; 69
Zhang (10.1016/j.measurement.2025.117316_b57) 2019; 33
Krasnopolsky (10.1016/j.measurement.2025.117316_b13) 2002; 4
Ma (10.1016/j.measurement.2025.117316_b53) 2019; 13
Ding (10.1016/j.measurement.2025.117316_b28) 2024; 38
Fenucci (10.1016/j.measurement.2025.117316_b4) 2024; 146
Fossen (10.1016/j.measurement.2025.117316_b65) 2011
Meng (10.1016/j.measurement.2025.117316_b32) 2022; 14
Zhang (10.1016/j.measurement.2025.117316_b64) 2020; 30
Hagiwara (10.1016/j.measurement.2025.117316_b11) 2008; 21
Zhou (10.1016/j.measurement.2025.117316_b61) 2023; 59
Wynn (10.1016/j.measurement.2025.117316_b2) 2014; 352
Xu (10.1016/j.measurement.2025.117316_b42) 2024; 186
References_xml – volume: 71
  start-page: 308
  year: 2016
  end-page: 313
  ident: b63
  article-title: Novel data filtering based parameter identification for multiple-input multiple-output systems using the auxiliary model
  publication-title: Automatica
– volume: 43
  start-page: 6874
  year: 2024
  end-page: 6910
  ident: b39
  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: 35
  start-page: 2550072
  year: 2025
  ident: b45
  article-title: Asymmetric singularly degenerate heteroclinic cycles
  publication-title: Int. J. Bifurc. Chaos
– volume: 36
  start-page: 789
  year: 2000
  end-page: 814
  ident: b12
  article-title: Constrained model predictive control: Stability and optimality
  publication-title: Autom.
– volume: 195
  year: 2020
  ident: b31
  article-title: Hydrodynamic parameter identification for ship manoeuvring mathematical models using a Bayesian approach
  publication-title: Ocean Eng.
– volume: 358
  start-page: 5113
  year: 2021
  end-page: 5135
  ident: b7
  article-title: Hierarchical gradient- and least squares-based iterative algorithms for input nonlinear output-error systems using the key term separation
  publication-title: J. Franklin Inst.
– volume: 30
  start-page: 1351
  year: 2020
  end-page: 1372
  ident: b64
  article-title: Adaptive parameter estimation for a general dynamical system with unknown states
  publication-title: Internat. J. Robust Nonlinear Control
– volume: 186
  year: 2024
  ident: b44
  article-title: Highly-efficient filtered hierarchical identification algorithms for multiple-input multiple-output systems with colored noises
  publication-title: Systems Control Lett.
– start-page: 1
  year: 2024
  end-page: 30
  ident: b47
  article-title: Adaptive multi-innovation gradient identification algorithms for a controlled autoregressive autoregressive moving average model
  publication-title: Circuits Systems Signal Process.
– volume: 36
  start-page: 1778
  year: 2022
  end-page: 1796
  ident: b55
  article-title: Two-stage gradient-based iterative algorithms for the fractional-order nonlinear systems by using the hierarchical identification principle
  publication-title: Internat. J. Adapt. Control Signal Process.
– volume: 38
  start-page: 1363
  year: 2024
  end-page: 1385
  ident: b28
  article-title: Filtered generalized iterative parameter identification for equation-error autoregressive models based on the filtering identification idea
  publication-title: Internat. J. Adapt. Control Signal Process.
– volume: 1
  start-page: 465
  year: 1990
  end-page: 652
  ident: b20
  article-title: Least squares methods
  publication-title: Handb. Numer. Anal.
– volume: 247
  start-page: 218
  year: 2014
  end-page: 224
  ident: b25
  article-title: A multi-innovation generalized extended stochastic gradient algorithm for output nonlinear autoregressive moving average systems
  publication-title: Appl. Math. Comput.
– volume: 59
  start-page: 2530
  year: 2023
  end-page: 2543
  ident: b61
  article-title: Online network-based identification and its application in satellite attitude control systems
  publication-title: IEEE Trans. Aerosp. Electron. Syst.
– volume: 70
  start-page: 206
  year: 2023
  end-page: 210
  ident: b8
  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: Vol. 1
  start-page: 450
  year: 2001
  end-page: 455
  ident: b37
  article-title: Development of a six-degree of freedom simulation model for the REMUS autonomous underwater vehicle
  publication-title: MTS/IEEE Oceans 2001. an Ocean Odyssey. Conference Proceedings (IEEE Cat. No. 01CH37295)
– volume: 21
  start-page: 1780
  year: 2023
  end-page: 1792
  ident: b5
  article-title: Parameter estimation for nonlinear functions related to system responses
  publication-title: Int. J. Control Autom. Syst.
– volume: 51
  start-page: 275
  year: 2020
  end-page: 290
  ident: b54
  article-title: Hierarchical parameter and state estimation for bilinear systems
  publication-title: Int. J. Syst. Sci.
– volume: 74
  start-page: 549
  year: 2021
  end-page: 557
  ident: b35
  article-title: An improved nonlinear innovation-based parameter identification algorithm for ship models
  publication-title: J. Navig.
– volume: 36
  start-page: 1052
  year: 2017
  end-page: 1065
  ident: b24
  article-title: Recursive least squares and multi-innovation gradient estimation algorithms for bilinear stochastic systems
  publication-title: Circuits Systems Signal Process.
– year: 2011
  ident: b65
  article-title: Handbook of Marine Craft Hydrodynamics and Motion Control
– volume: 245
  year: 2022
  ident: b1
  article-title: AUV position tracking and trajectory control based on fast-deployed deep reinforcement learning method
  publication-title: Ocean Eng.
– volume: 33
  start-page: 5510
  year: 2023
  end-page: 5535
  ident: b27
  article-title: Filtered auxiliary model recursive generalized extended parameter estimation methods for Box–Jenkins systems by means of the filtering identification idea
  publication-title: Internat. J. Robust Nonlinear Control
– volume: 36
  start-page: 690
  year: 2022
  end-page: 707
  ident: b50
  article-title: A novel nonlinear optimization method for fitting a noisy Gaussian activation function
  publication-title: Internat. J. Adapt. Control Signal Process.
– volume: 10
  start-page: 581
  year: 2022
  ident: b36
  article-title: A novel parameter identification algorithm for 3-DoF ship maneuvering modelling using nonlinear multi-innovation
  publication-title: J. Mar. Sci. Eng.
– volume: 29
  start-page: 947
  year: 2022
  end-page: 951
  ident: b59
  article-title: Joint parameter and time-delay estimation for a class of nonlinear time-series models
  publication-title: IEEE Signal Process. Lett.
– volume: 14
  start-page: 455
  year: 2020
  end-page: 466
  ident: b60
  article-title: Recursive coupled projection algorithms for multivariable output-error-like systems with coloured noises
  publication-title: IET Signal Process.
– volume: 55
  start-page: 1976
  year: 2010
  end-page: 1981
  ident: b23
  article-title: Partially coupled stochastic gradient identification methods for non-uniformly sampled systems
  publication-title: IEEE Trans. Autom. Control
– volume: 32
  start-page: 391
  year: 2025
  end-page: 395
  ident: b48
  article-title: A delta operator state estimation algorithm for discrete-time systems with state time-delay
  publication-title: IEEE Signal Process. Lett.
– volume: 426
  year: 2023
  ident: b19
  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: 33
  start-page: 1157
  year: 2019
  end-page: 1173
  ident: b58
  article-title: State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors
  publication-title: Internat. J. Adapt. Control Signal Process.
– volume: 71
  year: 2022
  ident: b10
  article-title: Separable synchronous multi-innovation gradient-based iterative signal modeling from on-line measurements
  publication-title: IEEE Trans. Instrum. Meas.
– volume: 352
  start-page: 451
  year: 2014
  end-page: 468
  ident: b2
  article-title: Autonomous Underwater Vehicles (AUVs): Their past, present and future contributions to the advancement of marine geoscience
  publication-title: Mar. Geol.
– volume: 266
  year: 2022
  ident: b30
  article-title: Parameter identification and application of ship maneuvering model based on TO-CSA
  publication-title: Ocean Eng.
– volume: 30
  start-page: 1373
  year: 2020
  end-page: 1393
  ident: b49
  article-title: Recursive parameter estimation methods and convergence analysis for a special class of nonlinear systems
  publication-title: Internat. J. Robust Nonlinear Control
– volume: 146
  year: 2024
  ident: b4
  article-title: A multi-platform guidance, navigation and control system for the autosub family of autonomous underwater vehicles
  publication-title: Control Eng. Pract.
– volume: 129
  start-page: 284
  year: 2022
  end-page: 294
  ident: b26
  article-title: Two-stage extended recursive gradient algorithm for locally linear RBF-based autoregressive models with colored noises
  publication-title: ISA Trans.
– volume: 21
  start-page: 48
  year: 2008
  end-page: 58
  ident: b11
  article-title: Relation between weight size and degree of over-fitting in neural network regression
  publication-title: Neural Netw.
– volume: 40
  start-page: 1739
  year: 2004
  end-page: 1748
  ident: b15
  article-title: Combined parameter and output estimation of dual-rate systems using an auxiliary model
  publication-title: Autom.
– volume: 50
  start-page: 1436
  year: 2005
  end-page: 1441
  ident: b16
  article-title: Parameter estimation of dual-rate stochastic systems by using an output error method
  publication-title: IEEE Trans. Autom. Control
– volume: 58
  start-page: 2217
  year: 2013
  end-page: 2229
  ident: b22
  article-title: Stochastic gradient descent on Riemannian manifolds
  publication-title: IEEE Trans. Autom. Control
– volume: 67
  start-page: 9
  year: 2017
  end-page: 20
  ident: b33
  article-title: Measures to diminish the parameter drift in the modeling of ship manoeuvring using system identification
  publication-title: Appl. Ocean Res.
– volume: 45
  start-page: 1157
  year: 2019
  end-page: 1176
  ident: b14
  article-title: Estimation of AUV hydrodynamic coefficients using analytical and system identification approaches
  publication-title: IEEE J. Ocean. Eng.
– volume: 34
  start-page: 1120
  year: 2024
  end-page: 1147
  ident: b38
  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: Internat. J. Robust Nonlinear Control
– volume: 29
  start-page: 399
  year: 2022
  end-page: 403
  ident: b51
  article-title: Optimal adaptive filtering algorithm by using the fractional-order derivative
  publication-title: IEEE Signal Process. Lett.
– year: 2024
  ident: b29
  article-title: Hierarchical estimation methods based on the penalty term for controlled autoregressive systems with colored noises
  publication-title: Internat. J. Robust Nonlinear Control
– volume: 14
  start-page: 293
  year: 2010
  end-page: 300
  ident: b18
  article-title: What to believe: Bayesian methods for data analysis
  publication-title: Trends Cogn. Sci.
– volume: 69
  start-page: 1829
  year: 2021
  end-page: 1835
  ident: b34
  article-title: Nonlinear identification for 4-DOF ship maneuvering modeling via full-scale trial data
  publication-title: IEEE Trans. Ind. Electron.
– volume: 13
  start-page: 27
  year: 1980
  end-page: 56
  ident: b21
  article-title: Maximum likelihood estimation of econometric frontier functions
  publication-title: J. Econometrics
– volume: 22
  start-page: 3509
  year: 2024
  end-page: 3524
  ident: b41
  article-title: Parameter estimation and model-free multi-innovation adaptive control algorithms
  publication-title: Int. J. Control Autom. Syst.
– volume: 147
  start-page: 337
  year: 2024
  end-page: 349
  ident: b46
  article-title: Joint iterative state and parameter estimation for bilinear systems with autoregressive noises via the data filtering
  publication-title: ISA Trans.
– volume: 186
  year: 2024
  ident: b42
  article-title: Novel parameter estimation method for the systems with colored noises by using the filtering identification idea
  publication-title: Systems Control Lett.
– volume: 266
  year: 2022
  ident: b3
  article-title: Design optimization of an AUV for performing depth control maneuver
  publication-title: Ocean Eng.
– volume: 57
  year: 2024
  ident: b40
  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: 128
  year: 2023
  ident: b9
  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: 33
  start-page: 1337
  year: 2025
  end-page: 1350
  ident: b43
  article-title: Revealing asymmetric homoclinic and heteroclinic orbits
  publication-title: Electron. Resear. Arch.
– volume: 13
  start-page: 3040
  year: 2019
  end-page: 3051
  ident: b53
  article-title: Partially-coupled least squares based iterative parameter estimation for multi-variable output-error-like autoregressive moving average systems
  publication-title: IET Control Theory Appl.
– volume: 14
  year: 2022
  ident: b32
  article-title: Parameter identification of ship motion mathematical model based on full-scale trial data
  publication-title: Int. J. Nav. Archit. Ocean. Eng.
– volume: 20
  start-page: 432
  year: 2022
  end-page: 443
  ident: b6
  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: 68
  start-page: 3597
  year: 2021
  end-page: 3601
  ident: b62
  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: 54
  start-page: 1041
  year: 2006
  end-page: 1053
  ident: b17
  article-title: Performance analysis of estimation algorithms of nonstationary ARMA processes
  publication-title: IEEE Trans. Signal Process.
– volume: 37
  start-page: 2983
  year: 2023
  end-page: 3007
  ident: b52
  article-title: Hierarchical recursive least squares parameter estimation methods for multiple-input multiple-output systems by using the auxiliary models
  publication-title: Internat. J. Adapt. Control Signal Process.
– volume: 37
  start-page: 1650
  year: 2023
  end-page: 1670
  ident: b56
  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: Internat. J. Adapt. Control Signal Process.
– volume: 4
  start-page: 363
  year: 2002
  end-page: 383
  ident: b13
  article-title: A neural network technique to improve computational efficiency of numerical oceanic models
  publication-title: Ocean. Model.
– volume: 33
  start-page: 875
  year: 2019
  end-page: 889
  ident: b57
  article-title: Highly computationally efficient state filter based on the delta operator
  publication-title: Internat. J. Adapt. Control Signal Process.
– volume: 51
  start-page: 275
  issue: 2
  year: 2020
  ident: 10.1016/j.measurement.2025.117316_b54
  article-title: Hierarchical parameter and state estimation for bilinear systems
  publication-title: Int. J. Syst. Sci.
  doi: 10.1080/00207721.2019.1704093
– volume: 57
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b40
  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: 37
  start-page: 2983
  issue: 11
  year: 2023
  ident: 10.1016/j.measurement.2025.117316_b52
  article-title: Hierarchical recursive least squares parameter estimation methods for multiple-input multiple-output systems by using the auxiliary models
  publication-title: Internat. J. Adapt. Control Signal Process.
  doi: 10.1002/acs.3669
– volume: 13
  start-page: 3040
  issue: 18
  year: 2019
  ident: 10.1016/j.measurement.2025.117316_b53
  article-title: Partially-coupled least squares based iterative parameter estimation for multi-variable output-error-like autoregressive moving average systems
  publication-title: IET Control Theory Appl.
  doi: 10.1049/iet-cta.2019.0112
– volume: 247
  start-page: 218
  year: 2014
  ident: 10.1016/j.measurement.2025.117316_b25
  article-title: A multi-innovation generalized extended stochastic gradient algorithm for output nonlinear autoregressive moving average systems
  publication-title: Appl. Math. Comput.
– volume: 36
  start-page: 1778
  issue: 7
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b55
  article-title: Two-stage gradient-based iterative algorithms for the fractional-order nonlinear systems by using the hierarchical identification principle
  publication-title: Internat. J. Adapt. Control Signal Process.
  doi: 10.1002/acs.3420
– volume: 30
  start-page: 1351
  issue: 4
  year: 2020
  ident: 10.1016/j.measurement.2025.117316_b64
  article-title: Adaptive parameter estimation for a general dynamical system with unknown states
  publication-title: Internat. J. Robust Nonlinear Control
  doi: 10.1002/rnc.4819
– volume: 13
  start-page: 27
  issue: 1
  year: 1980
  ident: 10.1016/j.measurement.2025.117316_b21
  article-title: Maximum likelihood estimation of econometric frontier functions
  publication-title: J. Econometrics
  doi: 10.1016/0304-4076(80)90041-X
– volume: 50
  start-page: 1436
  issue: 9
  year: 2005
  ident: 10.1016/j.measurement.2025.117316_b16
  article-title: Parameter estimation of dual-rate stochastic systems by using an output error method
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2005.854654
– volume: 37
  start-page: 1650
  issue: 7
  year: 2023
  ident: 10.1016/j.measurement.2025.117316_b56
  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: Internat. J. Adapt. Control Signal Process.
  doi: 10.1002/acs.3593
– volume: 29
  start-page: 399
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b51
  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: 29
  start-page: 947
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b59
  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: 54
  start-page: 1041
  issue: 3
  year: 2006
  ident: 10.1016/j.measurement.2025.117316_b17
  article-title: Performance analysis of estimation algorithms of nonstationary ARMA processes
  publication-title: IEEE Trans. Signal Process.
  doi: 10.1109/TSP.2005.862845
– volume: 43
  start-page: 6874
  issue: 11
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b39
  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: 33
  start-page: 1157
  issue: 7
  year: 2019
  ident: 10.1016/j.measurement.2025.117316_b58
  article-title: State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors
  publication-title: Internat. J. Adapt. Control Signal Process.
  doi: 10.1002/acs.3027
– volume: 35
  start-page: 2550072
  year: 2025
  ident: 10.1016/j.measurement.2025.117316_b45
  article-title: Asymmetric singularly degenerate heteroclinic cycles
  publication-title: Int. J. Bifurc. Chaos
  doi: 10.1142/S0218127425500725
– volume: 266
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b30
  article-title: Parameter identification and application of ship maneuvering model based on TO-CSA
  publication-title: Ocean Eng.
  doi: 10.1016/j.oceaneng.2022.113128
– volume: 186
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b44
  article-title: Highly-efficient filtered hierarchical identification algorithms for multiple-input multiple-output systems with colored noises
  publication-title: Systems Control Lett.
  doi: 10.1016/j.sysconle.2024.105762
– volume: 40
  start-page: 1739
  issue: 10
  year: 2004
  ident: 10.1016/j.measurement.2025.117316_b15
  article-title: Combined parameter and output estimation of dual-rate systems using an auxiliary model
  publication-title: Autom.
  doi: 10.1016/j.automatica.2004.05.001
– volume: 10
  start-page: 581
  issue: 5
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b36
  article-title: A novel parameter identification algorithm for 3-DoF ship maneuvering modelling using nonlinear multi-innovation
  publication-title: J. Mar. Sci. Eng.
  doi: 10.3390/jmse10050581
– volume: 74
  start-page: 549
  issue: 3
  year: 2021
  ident: 10.1016/j.measurement.2025.117316_b35
  article-title: An improved nonlinear innovation-based parameter identification algorithm for ship models
  publication-title: J. Navig.
  doi: 10.1017/S0373463321000102
– volume: 33
  start-page: 5510
  issue: 10
  year: 2023
  ident: 10.1016/j.measurement.2025.117316_b27
  article-title: Filtered auxiliary model recursive generalized extended parameter estimation methods for Box–Jenkins systems by means of the filtering identification idea
  publication-title: Internat. J. Robust Nonlinear Control
  doi: 10.1002/rnc.6657
– year: 2024
  ident: 10.1016/j.measurement.2025.117316_b29
  article-title: Hierarchical estimation methods based on the penalty term for controlled autoregressive systems with colored noises
  publication-title: Internat. J. Robust Nonlinear Control
  doi: 10.1002/rnc.7323
– volume: 186
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b42
  article-title: Novel parameter estimation method for the systems with colored noises by using the filtering identification idea
  publication-title: Systems Control Lett.
  doi: 10.1016/j.sysconle.2024.105774
– volume: 68
  start-page: 3597
  issue: 12
  year: 2021
  ident: 10.1016/j.measurement.2025.117316_b62
  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: 58
  start-page: 2217
  issue: 9
  year: 2013
  ident: 10.1016/j.measurement.2025.117316_b22
  article-title: Stochastic gradient descent on Riemannian manifolds
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2013.2254619
– volume: Vol. 1
  start-page: 450
  year: 2001
  ident: 10.1016/j.measurement.2025.117316_b37
  article-title: Development of a six-degree of freedom simulation model for the REMUS autonomous underwater vehicle
– volume: 30
  start-page: 1373
  issue: 4
  year: 2020
  ident: 10.1016/j.measurement.2025.117316_b49
  article-title: Recursive parameter estimation methods and convergence analysis for a special class of nonlinear systems
  publication-title: Internat. J. Robust Nonlinear Control
  doi: 10.1002/rnc.4824
– volume: 33
  start-page: 1337
  issue: 3
  year: 2025
  ident: 10.1016/j.measurement.2025.117316_b43
  article-title: Revealing asymmetric homoclinic and heteroclinic orbits
  publication-title: Electron. Resear. Arch.
  doi: 10.3934/era.2025061
– volume: 59
  start-page: 2530
  issue: 3
  year: 2023
  ident: 10.1016/j.measurement.2025.117316_b61
  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: 70
  start-page: 206
  issue: 1
  year: 2023
  ident: 10.1016/j.measurement.2025.117316_b8
  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: 38
  start-page: 1363
  issue: 4
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b28
  article-title: Filtered generalized iterative parameter identification for equation-error autoregressive models based on the filtering identification idea
  publication-title: Internat. J. Adapt. Control Signal Process.
  doi: 10.1002/acs.3753
– volume: 352
  start-page: 451
  year: 2014
  ident: 10.1016/j.measurement.2025.117316_b2
  article-title: Autonomous Underwater Vehicles (AUVs): Their past, present and future contributions to the advancement of marine geoscience
  publication-title: Mar. Geol.
  doi: 10.1016/j.margeo.2014.03.012
– volume: 14
  start-page: 293
  issue: 7
  year: 2010
  ident: 10.1016/j.measurement.2025.117316_b18
  article-title: What to believe: Bayesian methods for data analysis
  publication-title: Trends Cogn. Sci.
  doi: 10.1016/j.tics.2010.05.001
– volume: 36
  start-page: 1052
  year: 2017
  ident: 10.1016/j.measurement.2025.117316_b24
  article-title: Recursive least squares and multi-innovation gradient estimation algorithms for bilinear stochastic systems
  publication-title: Circuits Systems Signal Process.
  doi: 10.1007/s00034-016-0337-0
– volume: 14
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b32
  article-title: Parameter identification of ship motion mathematical model based on full-scale trial data
  publication-title: Int. J. Nav. Archit. Ocean. Eng.
  doi: 10.1016/j.ijnaoe.2022.100437
– volume: 146
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b4
  article-title: A multi-platform guidance, navigation and control system for the autosub family of autonomous underwater vehicles
  publication-title: Control Eng. Pract.
  doi: 10.1016/j.conengprac.2024.105902
– volume: 129
  start-page: 284
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b26
  article-title: Two-stage extended recursive gradient algorithm for locally linear RBF-based autoregressive models with colored noises
  publication-title: ISA Trans.
  doi: 10.1016/j.isatra.2022.02.011
– start-page: 1
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b47
  article-title: Adaptive multi-innovation gradient identification algorithms for a controlled autoregressive autoregressive moving average model
  publication-title: Circuits Systems Signal Process.
– volume: 67
  start-page: 9
  year: 2017
  ident: 10.1016/j.measurement.2025.117316_b33
  article-title: Measures to diminish the parameter drift in the modeling of ship manoeuvring using system identification
  publication-title: Appl. Ocean Res.
  doi: 10.1016/j.apor.2017.06.008
– volume: 45
  start-page: 1157
  issue: 4
  year: 2019
  ident: 10.1016/j.measurement.2025.117316_b14
  article-title: Estimation of AUV hydrodynamic coefficients using analytical and system identification approaches
  publication-title: IEEE J. Ocean. Eng.
  doi: 10.1109/JOE.2019.2930421
– volume: 21
  start-page: 48
  issue: 1
  year: 2008
  ident: 10.1016/j.measurement.2025.117316_b11
  article-title: Relation between weight size and degree of over-fitting in neural network regression
  publication-title: Neural Netw.
  doi: 10.1016/j.neunet.2007.11.001
– volume: 55
  start-page: 1976
  issue: 8
  year: 2010
  ident: 10.1016/j.measurement.2025.117316_b23
  article-title: Partially coupled stochastic gradient identification methods for non-uniformly sampled systems
  publication-title: IEEE Trans. Autom. Control
  doi: 10.1109/TAC.2010.2050713
– year: 2011
  ident: 10.1016/j.measurement.2025.117316_b65
– volume: 36
  start-page: 690
  issue: 3
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b50
  article-title: A novel nonlinear optimization method for fitting a noisy Gaussian activation function
  publication-title: Internat. J. Adapt. Control Signal Process.
  doi: 10.1002/acs.3367
– volume: 71
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b10
  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: 391
  year: 2025
  ident: 10.1016/j.measurement.2025.117316_b48
  article-title: A delta operator state estimation algorithm for discrete-time systems with state time-delay
  publication-title: IEEE Signal Process. Lett.
  doi: 10.1109/LSP.2024.3519897
– volume: 358
  start-page: 5113
  issue: 9
  year: 2021
  ident: 10.1016/j.measurement.2025.117316_b7
  article-title: Hierarchical gradient- and least squares-based iterative algorithms for input nonlinear output-error systems using the key term separation
  publication-title: J. Franklin Inst.
  doi: 10.1016/j.jfranklin.2021.04.006
– volume: 14
  start-page: 455
  issue: 7
  year: 2020
  ident: 10.1016/j.measurement.2025.117316_b60
  article-title: Recursive coupled projection algorithms for multivariable output-error-like systems with coloured noises
  publication-title: IET Signal Process.
  doi: 10.1049/iet-spr.2019.0481
– volume: 36
  start-page: 789
  issue: 6
  year: 2000
  ident: 10.1016/j.measurement.2025.117316_b12
  article-title: Constrained model predictive control: Stability and optimality
  publication-title: Autom.
  doi: 10.1016/S0005-1098(99)00214-9
– volume: 1
  start-page: 465
  year: 1990
  ident: 10.1016/j.measurement.2025.117316_b20
  article-title: Least squares methods
  publication-title: Handb. Numer. Anal.
– volume: 266
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b3
  article-title: Design optimization of an AUV for performing depth control maneuver
  publication-title: Ocean Eng.
  doi: 10.1016/j.oceaneng.2022.112929
– volume: 69
  start-page: 1829
  issue: 2
  year: 2021
  ident: 10.1016/j.measurement.2025.117316_b34
  article-title: Nonlinear identification for 4-DOF ship maneuvering modeling via full-scale trial data
  publication-title: IEEE Trans. Ind. Electron.
  doi: 10.1109/TIE.2021.3062255
– volume: 34
  start-page: 1120
  issue: 2
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b38
  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: Internat. J. Robust Nonlinear Control
  doi: 10.1002/rnc.7014
– volume: 33
  start-page: 875
  issue: 6
  year: 2019
  ident: 10.1016/j.measurement.2025.117316_b57
  article-title: Highly computationally efficient state filter based on the delta operator
  publication-title: Internat. J. Adapt. Control Signal Process.
  doi: 10.1002/acs.2995
– volume: 21
  start-page: 1780
  issue: 6
  year: 2023
  ident: 10.1016/j.measurement.2025.117316_b5
  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: 22
  start-page: 3509
  issue: 11
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b41
  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: 195
  year: 2020
  ident: 10.1016/j.measurement.2025.117316_b31
  article-title: Hydrodynamic parameter identification for ship manoeuvring mathematical models using a Bayesian approach
  publication-title: Ocean Eng.
  doi: 10.1016/j.oceaneng.2019.106612
– volume: 128
  year: 2023
  ident: 10.1016/j.measurement.2025.117316_b9
  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: 245
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b1
  article-title: AUV position tracking and trajectory control based on fast-deployed deep reinforcement learning method
  publication-title: Ocean Eng.
  doi: 10.1016/j.oceaneng.2021.110452
– volume: 71
  start-page: 308
  year: 2016
  ident: 10.1016/j.measurement.2025.117316_b63
  article-title: Novel data filtering based parameter identification for multiple-input multiple-output systems using the auxiliary model
  publication-title: Automatica
  doi: 10.1016/j.automatica.2016.05.024
– volume: 4
  start-page: 363
  issue: 3-4
  year: 2002
  ident: 10.1016/j.measurement.2025.117316_b13
  article-title: A neural network technique to improve computational efficiency of numerical oceanic models
  publication-title: Ocean. Model.
  doi: 10.1016/S1463-5003(02)00010-0
– volume: 20
  start-page: 432
  issue: 2
  year: 2022
  ident: 10.1016/j.measurement.2025.117316_b6
  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: 147
  start-page: 337
  year: 2024
  ident: 10.1016/j.measurement.2025.117316_b46
  article-title: Joint iterative state and parameter estimation for bilinear systems with autoregressive noises via the data filtering
  publication-title: ISA Trans.
  doi: 10.1016/j.isatra.2024.01.035
– volume: 426
  year: 2023
  ident: 10.1016/j.measurement.2025.117316_b19
  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
SSID ssj0006396
Score 2.4127245
Snippet In this paper, the problem of online parameter identification of the vertical plane motion model for autonomous underwater vehicle (AUV) is investigated. The...
SourceID crossref
elsevier
SourceType Index Database
Publisher
StartPage 117316
SubjectTerms Autonomous underwater vehicle
Hierarchical principle
Multi-innovation stochastic gradient
Parameter identification
Vertical plane model
Title Parameter identification of vertical plane model for autonomous underwater vehicle based on hierarchical multi-innovation stochastic gradient algorithm
URI https://dx.doi.org/10.1016/j.measurement.2025.117316
Volume 252
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier)
  issn: 0263-2241
  databaseCode: GBLVA
  dateStart: 20110101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: true
  ssIdentifier: ssj0006396
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier ScienceDirect [Accès UNIL ; CHUV ; HEP Vaud ; Sites BCUL]
  issn: 0263-2241
  databaseCode: ACRLP
  dateStart: 19950101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: true
  ssIdentifier: ssj0006396
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals [SCFCJ]
  issn: 0263-2241
  databaseCode: AIKHN
  dateStart: 19950101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: true
  ssIdentifier: ssj0006396
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: ScienceDirect (Elsevier)
  issn: 0263-2241
  databaseCode: .~1
  dateStart: 19950101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: true
  ssIdentifier: ssj0006396
  providerName: Elsevier
– providerCode: PRVLSH
  databaseName: Elsevier Journals
  issn: 0263-2241
  databaseCode: AKRWK
  dateStart: 19830101
  customDbUrl:
  isFulltext: true
  mediaType: online
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0006396
  providerName: Library Specific Holdings
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEB5KRdGDaFWsj7KC17VpHpsIXkQsVbEIVugtbDabNmIfxFRv_g3_rjOb1FYQPAi5JGQ3YWaYb3b3mxmAU-mjZSTa53Ysz7mLmMeDwFVcWSKWkR8kwhzF3HdF58m97Xv9ClzNc2GIVln6_sKnG29dPmmW0mxO07T5aFGpcQQgBHEKe_uUwe761MXg7GNB80AEFsU-i8Pp7TU4WXC8Rot9OFwq2h4dYTrU-vw3jFrCnfYWbJYBI7ss_mkbKnpcg42lMoI1WDU0TvW6A58PkshWKCuWxiUPyIieTRJmOi-jStiUCK7M9MBhGLMyOcsptWEye2WUUpa9S5rgTQ_pi4xwLmY4BXXNNucONIchIvL0u6cqwyBSDSVVfWaDzPDIciZfBpMszYejXei1r3tXHV62XuCqde7lXKGBCd_SVK4vCFRLW75WUWwrDzXe0ugmosDHy3FljCseKxZSRoLSYHGZm0hnD6rjyVjvA9MJatz1YuHQKhzBL2k5XqA8LdDV2paogz2XdTgtCmyEc-bZc7ikoJAUFBYKqsPFXCvhD2sJEQj-Hn7wv-GHsE53BQ3wCKp5NtPHGJrkUcPYXgNWLm_uOt0vV8TpUA
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEB5qxddBtCrW5wpe16Z5bCJ4EVGqtiJYobew2WzaiLalpnrzb_h3ndmktoLgQcgpyW7CzDDfzO63MwDH0kfLSLTP7ViechcxjweBq7iyRCwjP0iE2Ypp3YnGo3vT8ToluJichSFaZeH7c59uvHVxp1ZIszZM09qDRaXGEYAQxCns7czBvOvZPmVgJx9TngdCsMgXWhxOry_C0ZTk9TJdiMNc0fZoD9Oh3ue_gdQM8FytwWoRMbLz_KfWoaT7FViZqSNYgQXD41SvG_B5L4lthcJiaVwQgYzs2SBhpvUy6oQNieHKTBMchkErk-OMzjYMxq-MzpSN3iVN8KZ79EVGQBcznILaZpuNB5rDMBF5-t1UlWEUqXqSyj6z7sgQyTImn7uDUZr1XjahfXXZvmjwovcCV_VTL-MKLUz4lqZ6fUGg6trytYpiW3mo8rpGPxEFPl6OK2NMeaxYSBkJOgeLeW4inS0o9wd9vQ1MJ6hy14uFQ2k4ol9Sd7xAeVqgr7UtUQV7IutwmFfYCCfUs6dwRkEhKSjMFVSFs4lWwh_mEiIS_D1853_DD2Gp0W41w-b13e0uLNOTnBO4B-VsNNb7GKdk0YGxwy_IQurl
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=Parameter+identification+of+vertical+plane+model+for+autonomous+underwater+vehicle+based+on+hierarchical+multi-innovation+stochastic+gradient+algorithm&rft.jtitle=Measurement+%3A+journal+of+the+International+Measurement+Confederation&rft.au=Liu%2C+Yang&rft.au=Wang%2C+Longjin&rft.au=An%2C+Shun&rft.au=Liu%2C+Peng&rft.date=2025-08-01&rft.issn=0263-2241&rft.volume=252&rft.spage=117316&rft_id=info:doi/10.1016%2Fj.measurement.2025.117316&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_measurement_2025_117316
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0263-2241&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0263-2241&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0263-2241&client=summon