Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
<p dir="ltr">This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique. The key idea is to obtain a Koopman-based reduced-order model of a nonlinear dynamical system and app...
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2022
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| _version_ | 1864513561758269440 |
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| author | Mohammadhosein Bakhtiaridoust (16410088) |
| author2 | Meysam Yadegar (16410089) Nader Meskin (14147796) Mohammad Noorizadeh (16891371) |
| author2_role | author author author |
| author_facet | Mohammadhosein Bakhtiaridoust (16410088) Meysam Yadegar (16410089) Nader Meskin (14147796) Mohammad Noorizadeh (16891371) |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohammadhosein Bakhtiaridoust (16410088) Meysam Yadegar (16410089) Nader Meskin (14147796) Mohammad Noorizadeh (16891371) |
| dc.date.none.fl_str_mv | 2022-01-26T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1109/access.2022.3146417 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Model-Free_Geometric_Fault_Detection_and_Isolation_for_Nonlinear_Systems_Using_Koopman_Operator/24056583 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Information and computing sciences Theory of computation Mathematical sciences Applied mathematics Analytical models Mathematical models Fault detection Nonlinear dynamical systems Linear systems Generators Power system dynamics Model-free fault detection and isolation Koopman operator extended dynamic mode decomposition geometric approach reduced-order model |
| dc.title.none.fl_str_mv | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique. The key idea is to obtain a Koopman-based reduced-order model of a nonlinear dynamical system and apply the linear geometric FDI method to detect and isolate faults in the system. Koopman operator is an infinite-dimensional, linear operator which lifts the nonlinear dynamic data into an infinite-dimensional space where the correlations of dynamic data behave linearly. However, due to the infinite dimensionality of this operator, an approximation of the operator is needed for practical purposes. In this work, the Koopman framework is adopted toward nonlinear dynamical systems in combination with the linear geometric approach for fault detection and isolation. In order to demonstrate the efficacy of the proposed FDI solution, a mathematical nonlinear dynamical system, and an experimental three-tank setup are considered. Results show a remarkable performance of the proposed geometric Koopman-based fault detection and isolation (K-FDI) technique.</p><h2>Other Information</h2><p dir="ltr">Published in: IEEE Access<br>License: <a href="https://creativecommons.org/licenses/by/4.0/legalcode" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1109/access.2022.3146417" target="_blank">https://dx.doi.org/10.1109/access.2022.3146417</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_68c395d73c62be1b6e16fe29fd2d0cc8 |
| identifier_str_mv | 10.1109/access.2022.3146417 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/24056583 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman OperatorMohammadhosein Bakhtiaridoust (16410088)Meysam Yadegar (16410089)Nader Meskin (14147796)Mohammad Noorizadeh (16891371)Information and computing sciencesTheory of computationMathematical sciencesApplied mathematicsAnalytical modelsMathematical modelsFault detectionNonlinear dynamical systemsLinear systemsGeneratorsPower system dynamicsModel-free fault detection and isolationKoopman operatorextended dynamic mode decompositiongeometric approachreduced-order model<p dir="ltr">This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique. The key idea is to obtain a Koopman-based reduced-order model of a nonlinear dynamical system and apply the linear geometric FDI method to detect and isolate faults in the system. Koopman operator is an infinite-dimensional, linear operator which lifts the nonlinear dynamic data into an infinite-dimensional space where the correlations of dynamic data behave linearly. However, due to the infinite dimensionality of this operator, an approximation of the operator is needed for practical purposes. In this work, the Koopman framework is adopted toward nonlinear dynamical systems in combination with the linear geometric approach for fault detection and isolation. In order to demonstrate the efficacy of the proposed FDI solution, a mathematical nonlinear dynamical system, and an experimental three-tank setup are considered. Results show a remarkable performance of the proposed geometric Koopman-based fault detection and isolation (K-FDI) technique.</p><h2>Other Information</h2><p dir="ltr">Published in: IEEE Access<br>License: <a href="https://creativecommons.org/licenses/by/4.0/legalcode" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1109/access.2022.3146417" target="_blank">https://dx.doi.org/10.1109/access.2022.3146417</a></p>2022-01-26T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1109/access.2022.3146417https://figshare.com/articles/journal_contribution/Model-Free_Geometric_Fault_Detection_and_Isolation_for_Nonlinear_Systems_Using_Koopman_Operator/24056583CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/240565832022-01-26T00:00:00Z |
| spellingShingle | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator Mohammadhosein Bakhtiaridoust (16410088) Information and computing sciences Theory of computation Mathematical sciences Applied mathematics Analytical models Mathematical models Fault detection Nonlinear dynamical systems Linear systems Generators Power system dynamics Model-free fault detection and isolation Koopman operator extended dynamic mode decomposition geometric approach reduced-order model |
| status_str | publishedVersion |
| title | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator |
| title_full | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator |
| title_fullStr | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator |
| title_full_unstemmed | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator |
| title_short | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator |
| title_sort | Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator |
| topic | Information and computing sciences Theory of computation Mathematical sciences Applied mathematics Analytical models Mathematical models Fault detection Nonlinear dynamical systems Linear systems Generators Power system dynamics Model-free fault detection and isolation Koopman operator extended dynamic mode decomposition geometric approach reduced-order model |