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    Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities

    Access Status
    Open access via publisher
    Authors
    Zhang, Q.
    Wang, G.
    Liu, Wan-Quan
    Zhang, Y.
    Date
    2011
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Zhang, Qingling and Wang, Guoliang and Liu, Wanquan and Zhang, Yi. 2011. Stabilization of discrete-time Markovian jump systems with partially unknown transition probabilities. Discrete and Continuous Dynamical Systems. 16 (4): pp. 1197-1211.
    Source Title
    Discrete and Continuous Dynamical Systems
    DOI
    10.3934/dcdsb.2011.16.1197
    ISSN
    10780947
    School
    Department of Computing
    URI
    http://hdl.handle.net/20.500.11937/38061
    Collection
    • Curtin Research Publications
    Abstract

    In this paper the stabilization problem for a class of discrete-time Markovian jump system with partially unknown transition probabilities is investigated via using the time-delayed and impulsive controllers. As some elements in transition matrix are unknown, a new approach is proposed to estimate the unknown elements, in which an impulsive stabilizing controller depending on time delays and system mode is presented in terms of linear matrix inequalities (LMIs) with equality constraints. Especially, if there are no time delays and impulsive effects in the controller, it is derived that the conditions for the existence of H∞ controller can be expressed by LMIs without equality constraints. Finally, illustrative examples are presented to show the benefits and the validity of the proposed approaches.

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