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Parity space-based fault detection for Markovian jump systems

Zhong, Maiying and Ding, Qiang and Shi, Peng (2009) Parity space-based fault detection for Markovian jump systems. International Journal of Systems Science, 40 (4). pp. 421-428. ISSN 0020-7721

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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.

Item Type: Article
Uncontrolled Keywords: ResPubID17675, fault detection, Markovian jump system, residual, parity space, threshold
Subjects: FOR Classification > 0906 Electrical and Electronic Engineering
SEO Classification > 970109 Expanding Knowledge in Engineering
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
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Depositing User: VUIR
Date Deposited: 10 Jun 2011 05:31
Last Modified: 23 May 2013 16:46
URI: http://vuir.vu.edu.au/id/eprint/4742
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Citations in Scopus: 13 - View on Scopus

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