Evolution of tracking error over time.

<div><p>Floating offshore platforms (FOPs) face the challenge of anchor chain failures due to their unique operating environments. This directly impacts the platform’s safety and stability. Traditional control methods are often ineffective in addressing anchor chain failures. Therefore,...

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Príomhchruthaitheoir: Chengliang Chao (22676651) (author)
Rannpháirtithe: Yang Liu (4829) (author), Zongkai Wang (20488603) (author)
Foilsithe / Cruthaithe: 2025
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author Chengliang Chao (22676651)
author2 Yang Liu (4829)
Zongkai Wang (20488603)
author2_role author
author
author_facet Chengliang Chao (22676651)
Yang Liu (4829)
Zongkai Wang (20488603)
author_role author
dc.creator.none.fl_str_mv Chengliang Chao (22676651)
Yang Liu (4829)
Zongkai Wang (20488603)
dc.date.none.fl_str_mv 2025-11-24T18:33:03Z
dc.identifier.none.fl_str_mv 10.1371/journal.pone.0337290.g006
dc.relation.none.fl_str_mv https://figshare.com/articles/figure/Evolution_of_tracking_error_over_time_/30697511
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Biophysics
Biotechnology
Biological Sciences not elsewhere classified
Mathematical Sciences not elsewhere classified
unique operating environments
strategic parameter scheduling
platform &# 8217
multiple performance metrics
extreme performance optimization
traditional control methods
rigorous stability analysis
real fop system
fault handling capabilities
edf dual finite
triggered dynamic mechanism
time convergence paradigm
control system
time convergence
fop systems
driven mechanism
control design
tolerant strategy
time learning
study proposes
study introduces
study designs
results demonstrate
preset finite
often ineffective
offline phase
nonlinear error
mixed uncertainties
directly impacts
based generator
asymptotic stability
achieve finite
dc.title.none.fl_str_mv Evolution of tracking error over time.
dc.type.none.fl_str_mv Image
Figure
info:eu-repo/semantics/publishedVersion
image
description <div><p>Floating offshore platforms (FOPs) face the challenge of anchor chain failures due to their unique operating environments. This directly impacts the platform’s safety and stability. Traditional control methods are often ineffective in addressing anchor chain failures. Therefore, this study proposes a novel event-triggered, self-tuning integrated PID control strategy based on finite-time learning to improve the stability and fault handling capabilities of FOP systems. This study introduces a preset finite-time convergence function based on a time-based generator (TBG) in the control design, combined with a nonlinear error-driven mechanism to achieve finite-time convergence. By integrating a composite variable construction method with neural network approximation techniques, a state mapping mechanism adaptable to mixed uncertainties is established. Furthermore, this study designs a control system that integrates an event-triggered dynamic mechanism with a finite-time convergence paradigm. Through strategic parameter scheduling, this control strategy achieves coordinated optimal configuration and extreme performance optimization under multiple performance metrics in an offline phase. A rigorous stability analysis of the designed control strategy using Lyapunov stability theory demonstrates its effectiveness in terms of asymptotic stability and finite-time convergence. Simulations are conducted on a real FOP system. Results demonstrate that the control strategy effectively addresses anchor chain failures and internal and external uncertain dynamics.</p></div>
eu_rights_str_mv openAccess
id Manara_54c9ae2705b0235858782fa4b67f150c
identifier_str_mv 10.1371/journal.pone.0337290.g006
network_acronym_str Manara
network_name_str ManaraRepo
oai_identifier_str oai:figshare.com:article/30697511
publishDate 2025
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
rights_invalid_str_mv CC BY 4.0
spelling Evolution of tracking error over time.Chengliang Chao (22676651)Yang Liu (4829)Zongkai Wang (20488603)BiophysicsBiotechnologyBiological Sciences not elsewhere classifiedMathematical Sciences not elsewhere classifiedunique operating environmentsstrategic parameter schedulingplatform &# 8217multiple performance metricsextreme performance optimizationtraditional control methodsrigorous stability analysisreal fop systemfault handling capabilitiesedf dual finitetriggered dynamic mechanismtime convergence paradigmcontrol systemtime convergencefop systemsdriven mechanismcontrol designtolerant strategytime learningstudy proposesstudy introducesstudy designsresults demonstratepreset finiteoften ineffectiveoffline phasenonlinear errormixed uncertaintiesdirectly impactsbased generatorasymptotic stabilityachieve finite<div><p>Floating offshore platforms (FOPs) face the challenge of anchor chain failures due to their unique operating environments. This directly impacts the platform’s safety and stability. Traditional control methods are often ineffective in addressing anchor chain failures. Therefore, this study proposes a novel event-triggered, self-tuning integrated PID control strategy based on finite-time learning to improve the stability and fault handling capabilities of FOP systems. This study introduces a preset finite-time convergence function based on a time-based generator (TBG) in the control design, combined with a nonlinear error-driven mechanism to achieve finite-time convergence. By integrating a composite variable construction method with neural network approximation techniques, a state mapping mechanism adaptable to mixed uncertainties is established. Furthermore, this study designs a control system that integrates an event-triggered dynamic mechanism with a finite-time convergence paradigm. Through strategic parameter scheduling, this control strategy achieves coordinated optimal configuration and extreme performance optimization under multiple performance metrics in an offline phase. A rigorous stability analysis of the designed control strategy using Lyapunov stability theory demonstrates its effectiveness in terms of asymptotic stability and finite-time convergence. Simulations are conducted on a real FOP system. Results demonstrate that the control strategy effectively addresses anchor chain failures and internal and external uncertain dynamics.</p></div>2025-11-24T18:33:03ZImageFigureinfo:eu-repo/semantics/publishedVersionimage10.1371/journal.pone.0337290.g006https://figshare.com/articles/figure/Evolution_of_tracking_error_over_time_/30697511CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/306975112025-11-24T18:33:03Z
spellingShingle Evolution of tracking error over time.
Chengliang Chao (22676651)
Biophysics
Biotechnology
Biological Sciences not elsewhere classified
Mathematical Sciences not elsewhere classified
unique operating environments
strategic parameter scheduling
platform &# 8217
multiple performance metrics
extreme performance optimization
traditional control methods
rigorous stability analysis
real fop system
fault handling capabilities
edf dual finite
triggered dynamic mechanism
time convergence paradigm
control system
time convergence
fop systems
driven mechanism
control design
tolerant strategy
time learning
study proposes
study introduces
study designs
results demonstrate
preset finite
often ineffective
offline phase
nonlinear error
mixed uncertainties
directly impacts
based generator
asymptotic stability
achieve finite
status_str publishedVersion
title Evolution of tracking error over time.
title_full Evolution of tracking error over time.
title_fullStr Evolution of tracking error over time.
title_full_unstemmed Evolution of tracking error over time.
title_short Evolution of tracking error over time.
title_sort Evolution of tracking error over time.
topic Biophysics
Biotechnology
Biological Sciences not elsewhere classified
Mathematical Sciences not elsewhere classified
unique operating environments
strategic parameter scheduling
platform &# 8217
multiple performance metrics
extreme performance optimization
traditional control methods
rigorous stability analysis
real fop system
fault handling capabilities
edf dual finite
triggered dynamic mechanism
time convergence paradigm
control system
time convergence
fop systems
driven mechanism
control design
tolerant strategy
time learning
study proposes
study introduces
study designs
results demonstrate
preset finite
often ineffective
offline phase
nonlinear error
mixed uncertainties
directly impacts
based generator
asymptotic stability
achieve finite