Model-reduced fault detection for multi-rate sensor fusion with unknown inputs
•We use model reduction to implement fault detection of multi-rate sensor systems.•A novel UI-decoupled and fault-related multi-rate observer is designed.•The proposed method gives fast and computation-efficient fault detection. In multi-sensor fusion, it is hard to guarantee that all sensors work a...
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| Published in: | Information fusion Vol. 33; pp. 1 - 14 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
01.01.2017
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| Subjects: | |
| ISSN: | 1566-2535, 1872-6305 |
| Online Access: | Get full text |
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| Summary: | •We use model reduction to implement fault detection of multi-rate sensor systems.•A novel UI-decoupled and fault-related multi-rate observer is designed.•The proposed method gives fast and computation-efficient fault detection.
In multi-sensor fusion, it is hard to guarantee that all sensors work at the single sampling rate, especially in the distributive and/or heterogeneous case, and fault detection (FD) in multi-rate sensor fusion may face the existence of unknown inputs (UIs) in complex environment. Meanwhile, model reduction often refers to propose a possible lower-dimensional model to replace the original model without adding significant error in practical applications. By the fact that FD in dynamic systems should only focus on the fault-related controllability and observability characteristics, it is a good idea to obtain the fault-related controllable and observable subsystem via system decomposition (i.e., model reduction) for FD. Such a kind of model reduction not only guarantee the FD performance, but also reduce the system dimensions. To this end, we propose the model-reduced fault detection (MRFD) problem for multi-rate sensor fusion subject to UIs and faults imposed on the actuator and sensors. Our aim is to design a fast and computation-effective FD scheme based on the reduced model. We use the singular decomposition for UI decoupling, and then obtain the fault-related subsystem via controllability and observability decomposition. And then the multi-rate observer (MRO) with causality constraints is designed. Different from the traditional observer used for FD, the proposed MRO outputs the fault-related partial state estimate as soon as any a sensor measurement is received, resulting in fast and computation-effective FD. Furthermore, conditions for the existence of a stable MRO, fault-to-state controllability, and fault detectability are explored. A simulation example for simplified longitudinal flight control system and method comparison with the existing multi-rate FD algorithms show the effectiveness of the proposed MRFD method. |
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| ISSN: | 1566-2535 1872-6305 |
| DOI: | 10.1016/j.inffus.2016.04.002 |