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    Robust fault detection of Markovian jump systems with partly unknown transition probabilities

    Access Status
    Fulltext not available
    Authors
    Chen, F.
    Yin, YanYan
    Liu, F.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Chen, F. and Yin, Y. and Liu, F. 2014. Robust fault detection of Markovian jump systems with partly unknown transition probabilities. Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics. 36 (9): pp. 1819-1825.
    Source Title
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics
    DOI
    10.3969/j.issn.1001-506X.2014.09.24
    ISSN
    1001-506X
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52361
    Collection
    • Curtin Research Publications
    Abstract

    A linear full-order robust fault detection observer is designed to solve the robust fault detection problem of Markovian jump systems with partly unknown transition probabilities. Free-connection weighting matrices are introduced to robust fault detection observer design, which reduces the conservatism caused by fixed-connection weighting matrices. A series of linear matrix inequalities (LMIs) which ensure the system's stochastic asymptotic stability are obtained by using the constructed Lyapunov function. Based on that, a sufficient condition for the existence of the robust fault detection observer system is given and proved. Furthermore, an optimization design approach is also derived. A simulation example is given to show that the designed robust fault detection observer can not only detect the faults quickly and sensitively, but also respond robustly to unknown disturbances.

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