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    Robust control on saturated Markov jump systems with missing information

    Access Status
    Fulltext not available
    Authors
    Shi, P.
    Yin, YanYan
    Liu, F.
    Zhang, J.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Shi, P. and Yin, Y. and Liu, F. and Zhang, J. 2014. Robust control on saturated Markov jump systems with missing information. Information Sciences. 265: pp. 123-138.
    Source Title
    Information Sciences
    DOI
    10.1016/j.ins.2013.12.050
    ISSN
    0020-0255
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52063
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, a robust H8 controller is designed for saturated Markov jump systems with uncertainties and time varying transition probabilities. The time-varying transition probability uncertainty is described as a polytope set. Stochastic stability is analyzed for the underlying systems by Lyapunov function approach and a sufficient condition is derived to design controllers such that the resulting closed-loop system is stochastically stable and a prescribed H8 performance is also achieved. Furthermore, the attraction domain of this Markov jump system is estimated and evaluated. A simulation example is given to show the effectiveness of the developed techniques. © 2013 Elsevier Inc. All rights reserved.

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