Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults
This paper presents a new model-based fault resilient control scheme for a class of nonlinear distributed parameter systems (DPS) represented by parabolic partial differential equations (PDE) in the presence of actuator faults. A Luenberger-like observer on the basis of nonlinear PDE representation...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Systems Science & Control Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/21642583.2023.2301526 |
| _version_ | 1797352173322895360 |
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| author | Hasan Ferdowsi Jia Cai Sarangapani Jagannathan |
| author_facet | Hasan Ferdowsi Jia Cai Sarangapani Jagannathan |
| author_sort | Hasan Ferdowsi |
| collection | DOAJ |
| description | This paper presents a new model-based fault resilient control scheme for a class of nonlinear distributed parameter systems (DPS) represented by parabolic partial differential equations (PDE) in the presence of actuator faults. A Luenberger-like observer on the basis of nonlinear PDE representation of DPS is developed with boundary measurements. A detection residual is generated by taking the difference between the measured output of the DPS and the estimated one given by the observer. Once a fault is detected, an unknown actuator fault parameter vector together with a known basis function is utilized to adaptively estimate the fault dynamics. A novel tuning algorithm is derived to estimate the unknown actuator fault parameter vector. Next, in order to achieve resilience, the controller from the healthy scenario is adjusted to mitigate the faults by using both estimated fault dynamics and a secondary measurement. Subsequently, an explicit formula is developed to estimate the time-to-resilience (TTR). Finally, a nonlinear example is utilized to illustrate the effectiveness of the proposed scheme. |
| first_indexed | 2024-03-08T13:11:26Z |
| format | Article |
| id | doaj.art-90f46457efcf423f875748947f67f715 |
| institution | Directory Open Access Journal |
| issn | 2164-2583 |
| language | English |
| last_indexed | 2024-03-08T13:11:26Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj.art-90f46457efcf423f875748947f67f7152024-01-18T12:00:55ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832024-12-0112110.1080/21642583.2023.2301526Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faultsHasan Ferdowsi0Jia Cai1Sarangapani Jagannathan2Electrical Engineering Department, Northern Illinois University, DeKalb, IL, USAMicrosoft Corporation, Redmond, WA, USADepartment of Electrical & Computer Engineering, Missouri University of Science and Technology, Rolla, MO, USAThis paper presents a new model-based fault resilient control scheme for a class of nonlinear distributed parameter systems (DPS) represented by parabolic partial differential equations (PDE) in the presence of actuator faults. A Luenberger-like observer on the basis of nonlinear PDE representation of DPS is developed with boundary measurements. A detection residual is generated by taking the difference between the measured output of the DPS and the estimated one given by the observer. Once a fault is detected, an unknown actuator fault parameter vector together with a known basis function is utilized to adaptively estimate the fault dynamics. A novel tuning algorithm is derived to estimate the unknown actuator fault parameter vector. Next, in order to achieve resilience, the controller from the healthy scenario is adjusted to mitigate the faults by using both estimated fault dynamics and a secondary measurement. Subsequently, an explicit formula is developed to estimate the time-to-resilience (TTR). Finally, a nonlinear example is utilized to illustrate the effectiveness of the proposed scheme.https://www.tandfonline.com/doi/10.1080/21642583.2023.2301526Fault detectionresilient controladaptive estimationdistributed parameter systems |
| spellingShingle | Hasan Ferdowsi Jia Cai Sarangapani Jagannathan Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults Systems Science & Control Engineering Fault detection resilient control adaptive estimation distributed parameter systems |
| title | Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults |
| title_full | Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults |
| title_fullStr | Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults |
| title_full_unstemmed | Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults |
| title_short | Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults |
| title_sort | adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults |
| topic | Fault detection resilient control adaptive estimation distributed parameter systems |
| url | https://www.tandfonline.com/doi/10.1080/21642583.2023.2301526 |
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