Fault detection and isolation of LTV systems using set-valued observers

Paulo Rosa; Carlos Silvestre; Jeff S. Shamma; Michael Athans

doi:10.1109/CDC.2010.5717634

Fault detection and isolation of LTV systems using set-valued observers

Paulo Rosa^*, Carlos Silvestre, Jeff S. Shamma, Michael Athans

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

44 Scopus citations

Abstract

This paper introduces the novel concept of using Set-Valued Observers (SVOs) in Fault Detection and Isolation (FDI), for discrete-time linear time-varying systems. The proposed method relies on SVO-based model invalidation to discard models that are not compatible with the input/output data. We argue that there are mainly three significant advantages of using SVOs for FDI, when compared to the most common strategies available in the literature: i) under suitable conditions, we can guarantee that there will be no false alarms; ii) unlike residual-based architectures, the proposed technique does not require the computation of a threshold to declare faults; iii) the SVOs can be used with a wide class of time-varying linear uncertain discrete-time systems. We further show, in simulation, that the proposed FDI algorithm in general requires a very small number of iterations to detect and identify a faulty behavior.

Original language	English (US)
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	768-773
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717634
State	Published - 2010
Externally published	Yes
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: Dec 15 2010 → Dec 17 2010

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	12/15/10 → 12/17/10

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2010.5717634

Cite this

Rosa, P., Silvestre, C., Shamma, J. S., & Athans, M. (2010). Fault detection and isolation of LTV systems using set-valued observers. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 768-773). Article 5717634 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717634

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title = "Fault detection and isolation of LTV systems using set-valued observers",

abstract = "This paper introduces the novel concept of using Set-Valued Observers (SVOs) in Fault Detection and Isolation (FDI), for discrete-time linear time-varying systems. The proposed method relies on SVO-based model invalidation to discard models that are not compatible with the input/output data. We argue that there are mainly three significant advantages of using SVOs for FDI, when compared to the most common strategies available in the literature: i) under suitable conditions, we can guarantee that there will be no false alarms; ii) unlike residual-based architectures, the proposed technique does not require the computation of a threshold to declare faults; iii) the SVOs can be used with a wide class of time-varying linear uncertain discrete-time systems. We further show, in simulation, that the proposed FDI algorithm in general requires a very small number of iterations to detect and identify a faulty behavior.",

author = "Paulo Rosa and Carlos Silvestre and Shamma, {Jeff S.} and Michael Athans",

year = "2010",

doi = "10.1109/CDC.2010.5717634",

language = "English (US)",

isbn = "9781424477456",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "768--773",

booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

address = "United States",

note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",

}

Rosa, P, Silvestre, C, Shamma, JS & Athans, M 2010, Fault detection and isolation of LTV systems using set-valued observers. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717634, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 768-773, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 12/15/10. https://doi.org/10.1109/CDC.2010.5717634

Fault detection and isolation of LTV systems using set-valued observers. / Rosa, Paulo; Silvestre, Carlos; Shamma, Jeff S. et al.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 768-773 5717634 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Fault detection and isolation of LTV systems using set-valued observers

AU - Rosa, Paulo

AU - Silvestre, Carlos

AU - Shamma, Jeff S.

AU - Athans, Michael

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N2 - This paper introduces the novel concept of using Set-Valued Observers (SVOs) in Fault Detection and Isolation (FDI), for discrete-time linear time-varying systems. The proposed method relies on SVO-based model invalidation to discard models that are not compatible with the input/output data. We argue that there are mainly three significant advantages of using SVOs for FDI, when compared to the most common strategies available in the literature: i) under suitable conditions, we can guarantee that there will be no false alarms; ii) unlike residual-based architectures, the proposed technique does not require the computation of a threshold to declare faults; iii) the SVOs can be used with a wide class of time-varying linear uncertain discrete-time systems. We further show, in simulation, that the proposed FDI algorithm in general requires a very small number of iterations to detect and identify a faulty behavior.

AB - This paper introduces the novel concept of using Set-Valued Observers (SVOs) in Fault Detection and Isolation (FDI), for discrete-time linear time-varying systems. The proposed method relies on SVO-based model invalidation to discard models that are not compatible with the input/output data. We argue that there are mainly three significant advantages of using SVOs for FDI, when compared to the most common strategies available in the literature: i) under suitable conditions, we can guarantee that there will be no false alarms; ii) unlike residual-based architectures, the proposed technique does not require the computation of a threshold to declare faults; iii) the SVOs can be used with a wide class of time-varying linear uncertain discrete-time systems. We further show, in simulation, that the proposed FDI algorithm in general requires a very small number of iterations to detect and identify a faulty behavior.

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Fault detection and isolation of LTV systems using set-valued observers

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