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    Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities

    Access Status
    Fulltext not available
    Authors
    Shi, J.
    Yin, YanYan
    Liu, F.
    Date
    2016
    Type
    Conference Paper
    
    Metadata
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    Citation
    Shi, J. and Yin, Y. and Liu, F. 2016. Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities, pp. 721-726.
    Source Title
    Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
    DOI
    10.1109/WCICA.2016.7578334
    ISBN
    9781467384148
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52152
    Collection
    • Curtin Research Publications
    Abstract

    © 2016 IEEE.The problem of robust fault detection (RFD) for nonlinear discrete-time Markovian jump systems (MJSs) with partly unknown transition probabilities is investigated in the paper. With the method of T-S fuzzy linearization, the original systems are described as a set of local linear models. The RFD observer (RFDO) system and the dynamics of error generator are constructed. By introducing some free-weighting matrices, the proposed method leads to less conservatism compared with the existing ones. Moreover, the H8 performance index is proposed to minimize the influence of the unknown disturbances. A sufficient condition is first established on the stochastic stability using stochastic Lyapunov-krasovskii function, then in the terms of linear matrix inequalities techniques, the sufficient conditions on the existence of RFDO are presented and proved. Finally, A simulation example is given to illustrate that the proposed RFDO can detect the faults correctly and shortly after the occurrence.

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