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    Robust control for nonhomogeneous Markov jump processes: An application to DC motor device

    Access Status
    Fulltext not available
    Authors
    Yin, YanYan
    Shi, P.
    Liu, F.
    Lim, C.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Yin, Y. and Shi, P. and Liu, F. and Lim, C. 2014. Robust control for nonhomogeneous Markov jump processes: An application to DC motor device. Journal of the Franklin Institute. 351 (6): pp. 3322-3338.
    Source Title
    Journal of the Franklin Institute
    DOI
    10.1016/j.jfranklin.2014.03.013
    ISSN
    0016-0032
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52097
    Collection
    • Curtin Research Publications
    Abstract

    This paper studies the problem of robust H8 controller design for a class of uncertain Markov jump systems with time-varying transition probabilities, which follows nonhomogeneous jump processes. The time varying transition probability matrix is described as a polytope set. By Lyapunov function approach, under the designed controller, a sufficient condition is presented to ensure that the resulting closed-loop system is stochastically stable and that a prescribed H8 performance index is satisfied. Finally, an application of a DC motor device is addressed to demonstrate the effectiveness of developed techniques. © 2014 The Franklin Institute.

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