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    Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems

    Access Status
    Fulltext not available
    Authors
    Yin, Y.
    Shi, P.
    Liu, F.
    Teo, Kok Lay
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Yin, Yanyan and Shi, Peng and Liu, Fei and Teo, Kok Lay. 2013. Observer-based H∞ control on nonhomogeneous discrete-time markov jump systems. Journal of Dynamic Systems, Measurement and Control. 135 (4): pp. 041016-1 – 041016-8.
    Source Title
    Transactions of the ASME, Journal of Dynamic Systems, Measurement and Control
    DOI
    10.1115/1.4023997
    ISSN
    1528-9028
    URI
    http://hdl.handle.net/20.500.11937/17040
    Collection
    • Curtin Research Publications
    Abstract

    This paper concerns the problem of observer-based H8 controller design for a class of discrete-time Markov jump systems with nonhomogeneous jump parameters. A nonhomogeneous jump transition probability matrix is described by a polytope set, in which values of vertices are given. By Lyapunov function approach, under the designed observer-based controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H8 performance is achieved. Finally, a simulation example is given to show the effectiveness of the developed techniques.

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