Vehicular Applications of Koopman Operator Theory—A Survey
Koopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. For nearly a century, there had been no efficient means of calculating the Koopman operator for applied engineering purposes. The introduction of a recent computationally effici...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10068492/ |
| _version_ | 1797862250551181312 |
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| author | Waqas A. Manzoor Samir Rawashdeh Alireza Mohammadi |
| author_facet | Waqas A. Manzoor Samir Rawashdeh Alireza Mohammadi |
| author_sort | Waqas A. Manzoor |
| collection | DOAJ |
| description | Koopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. For nearly a century, there had been no efficient means of calculating the Koopman operator for applied engineering purposes. The introduction of a recent computationally efficient method in the context of fluid dynamics, which is based on the system dynamics decomposition to a set of normal modes in descending order, has overcome this long-lasting computational obstacle. The purely data-driven nature of Koopman operators holds the promise of capturing unknown and complex dynamics for reduced-order model generation and system identification, through which the rich machinery of linear control techniques can be utilized. Given the ongoing development of this research area and the many existing open problems in the fields of smart mobility and vehicle engineering, a survey of techniques and open challenges of applying Koopman operator theory to this vibrant area is warranted. This review focuses on the various solutions of the Koopman operator which have emerged in recent years, particularly those focusing on mobility applications, ranging from characterization and component-level control operations to vehicle performance and fleet management. Moreover, this comprehensive review of over 100 research papers highlights the breadth of ways Koopman operator theory has been applied to various vehicular applications with a detailed categorization of the applied Koopman operator-based algorithm type. Furthermore, this review paper discusses theoretical aspects of Koopman operator theory that have been largely neglected by the smart mobility and vehicle engineering community and yet have large potential for contributing to solving open problems in these areas. |
| first_indexed | 2024-04-09T22:17:21Z |
| format | Article |
| id | doaj.art-7fdcba29c8a8406584c078832bf5406f |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-09T22:17:21Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-7fdcba29c8a8406584c078832bf5406f2023-03-22T23:00:15ZengIEEEIEEE Access2169-35362023-01-0111259172593110.1109/ACCESS.2023.325710910068492Vehicular Applications of Koopman Operator Theory—A SurveyWaqas A. Manzoor0https://orcid.org/0000-0002-7080-3998Samir Rawashdeh1https://orcid.org/0000-0002-3473-6978Alireza Mohammadi2https://orcid.org/0000-0002-1089-3872Department of Systems Engineering and Validation, Ford Motor Company, Dearborn, MI, USADepartment of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, MI, USADepartment of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, MI, USAKoopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. For nearly a century, there had been no efficient means of calculating the Koopman operator for applied engineering purposes. The introduction of a recent computationally efficient method in the context of fluid dynamics, which is based on the system dynamics decomposition to a set of normal modes in descending order, has overcome this long-lasting computational obstacle. The purely data-driven nature of Koopman operators holds the promise of capturing unknown and complex dynamics for reduced-order model generation and system identification, through which the rich machinery of linear control techniques can be utilized. Given the ongoing development of this research area and the many existing open problems in the fields of smart mobility and vehicle engineering, a survey of techniques and open challenges of applying Koopman operator theory to this vibrant area is warranted. This review focuses on the various solutions of the Koopman operator which have emerged in recent years, particularly those focusing on mobility applications, ranging from characterization and component-level control operations to vehicle performance and fleet management. Moreover, this comprehensive review of over 100 research papers highlights the breadth of ways Koopman operator theory has been applied to various vehicular applications with a detailed categorization of the applied Koopman operator-based algorithm type. Furthermore, this review paper discusses theoretical aspects of Koopman operator theory that have been largely neglected by the smart mobility and vehicle engineering community and yet have large potential for contributing to solving open problems in these areas.https://ieeexplore.ieee.org/document/10068492/Intelligent robotsnonlinear systemssystem identificationvehicles |
| spellingShingle | Waqas A. Manzoor Samir Rawashdeh Alireza Mohammadi Vehicular Applications of Koopman Operator Theory—A Survey IEEE Access Intelligent robots nonlinear systems system identification vehicles |
| title | Vehicular Applications of Koopman Operator Theory—A Survey |
| title_full | Vehicular Applications of Koopman Operator Theory—A Survey |
| title_fullStr | Vehicular Applications of Koopman Operator Theory—A Survey |
| title_full_unstemmed | Vehicular Applications of Koopman Operator Theory—A Survey |
| title_short | Vehicular Applications of Koopman Operator Theory—A Survey |
| title_sort | vehicular applications of koopman operator theory x2014 a survey |
| topic | Intelligent robots nonlinear systems system identification vehicles |
| url | https://ieeexplore.ieee.org/document/10068492/ |
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