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Type: Journal article
Title: Parity space-based fault detection for Markovian jump systems
Author: Zhong, M.
Ding, Q.
Shi, P.
Citation: International Journal of Systems Science, 2009; 40(4):421-428
Publisher: Taylor & Francis Ltd
Issue Date: 2009
ISSN: 0020-7721
Statement of
Maiying Zhong, Qiang Ding and Peng Shi
Abstract: This article deals with problems of parity space-based fault detection for a class of discrete-time linear Markovian jump systems. A new algorithm is firstly introduced to reduce the computation of mode-dependent redundancy relation parameter matrices. Different from the case of linear time invariant systems, the parity space-based residual generator for a Markovian jump system cannot be designed off-line because it depends on the history of system modes in the last finite steps. In order to overcome this difficulty, a finite set of parity matrices is pre-designed applying a unified approach to linear time invariant systems. Then the on-line residual generation can be easily implemented. Moreover, the problem of residual evaluation is also considered which includes the determination of a residual evaluation function and a threshold. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
Keywords: fault detection
Markovian jump system
parity space
Rights: © 2009 Taylor & Francis
DOI: 10.1080/00207720802556237
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Electrical and Electronic Engineering publications

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