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Fault Detection of Markov Jumping Linear Systems
Joint Authors
Zhu, Zhencai
Zhou, Gongbo
Wang, Zhongqiu
Li, Wei
Jiang, Fan
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-06
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
In this paper, the fault detection (FD) problems of discrete-time Markov jumping linear systems (MJLSs) are studied.
We first focus on the stationary MJLS.
The proposed FD system consists of two steps: residual generation and residual evaluation.
A new reference model strategy is applied to construct a residual generator, such that it is robust against disturbances and sensitive to system faults.
The generated residual signals are then evaluated according to their stochastic properties, and a threshold is computed for detecting the occurrences of faults.
The upper bound of the corresponding false alarm rate (FAR) is also given.
For the nonstationary MJLS, similar results are also obtained.
All the solutions are presented in the form of linear matrix inequalities (LMIs).
Finally, a numerical example is used to illustrate the results.
American Psychological Association (APA)
Li, Wei& Jiang, Fan& Wang, Zhongqiu& Zhou, Gongbo& Zhu, Zhencai. 2012. Fault Detection of Markov Jumping Linear Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-1001347
Modern Language Association (MLA)
Li, Wei…[et al.]. Fault Detection of Markov Jumping Linear Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-27.
https://search.emarefa.net/detail/BIM-1001347
American Medical Association (AMA)
Li, Wei& Jiang, Fan& Wang, Zhongqiu& Zhou, Gongbo& Zhu, Zhencai. Fault Detection of Markov Jumping Linear Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-1001347
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001347