Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information
This paper investigates the distributed fault detection problem for linear discrete time-varying heterogeneous multi-agent systems under relative output information. Due to the lack of absolute outputs, an augmented model is built by stacking all local relative output information. Then, the fault de...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9378514/ |
| _version_ | 1818727577108348928 |
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| author | Peilu Zou Ping Wang Chengpu Yu |
| author_facet | Peilu Zou Ping Wang Chengpu Yu |
| author_sort | Peilu Zou |
| collection | DOAJ |
| description | This paper investigates the distributed fault detection problem for linear discrete time-varying heterogeneous multi-agent systems under relative output information. Due to the lack of absolute outputs, an augmented model is built by stacking all local relative output information. Then, the fault detection problem consisting of residual-generation and residual-evaluation is handled using the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> filtering framework. The residual-generation problem is actually a minimization problem of an indefinite quadratic form, and the Krein space-Kalman filtering theory is applied, which results in a low computational burden despite the time-varying characteristic. Using the Krein space theory, a necessary and sufficient condition for the minimum is derived, and a residual-generation algorithm is developed. Further, a residual-evaluation mechanism is designed by constructing an evaluation function and detecting faults by comparing it with a threshold. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed fault detection approach. |
| first_indexed | 2024-12-17T22:16:18Z |
| format | Article |
| id | doaj.art-cf0a0b1797bb4308b11a56038df5e110 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-17T22:16:18Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-cf0a0b1797bb4308b11a56038df5e1102022-12-21T21:30:36ZengIEEEIEEE Access2169-35362021-01-019429334294610.1109/ACCESS.2021.30661099378514Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output InformationPeilu Zou0https://orcid.org/0000-0002-0012-4308Ping Wang1https://orcid.org/0000-0002-2308-9795Chengpu Yu2School of Automation, Beijing Institute of Technology, Beijing, ChinaSchool of Automation, Beijing Institute of Technology, Beijing, ChinaSchool of Automation, Beijing Institute of Technology, Beijing, ChinaThis paper investigates the distributed fault detection problem for linear discrete time-varying heterogeneous multi-agent systems under relative output information. Due to the lack of absolute outputs, an augmented model is built by stacking all local relative output information. Then, the fault detection problem consisting of residual-generation and residual-evaluation is handled using the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> filtering framework. The residual-generation problem is actually a minimization problem of an indefinite quadratic form, and the Krein space-Kalman filtering theory is applied, which results in a low computational burden despite the time-varying characteristic. Using the Krein space theory, a necessary and sufficient condition for the minimum is derived, and a residual-generation algorithm is developed. Further, a residual-evaluation mechanism is designed by constructing an evaluation function and detecting faults by comparing it with a threshold. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed fault detection approach.https://ieeexplore.ieee.org/document/9378514/Discrete-time systemsdistributed algorithmsfault detectionfault diagnosisfiltering theoryheterogeneous networks |
| spellingShingle | Peilu Zou Ping Wang Chengpu Yu Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information IEEE Access Discrete-time systems distributed algorithms fault detection fault diagnosis filtering theory heterogeneous networks |
| title | Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information |
| title_full | Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information |
| title_fullStr | Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information |
| title_full_unstemmed | Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information |
| title_short | Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information |
| title_sort | distributed fault detection for linear time varying multi agent systems with relative output information |
| topic | Discrete-time systems distributed algorithms fault detection fault diagnosis filtering theory heterogeneous networks |
| url | https://ieeexplore.ieee.org/document/9378514/ |
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