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    A simplified predictive control of constrained Markov jump system with mixed uncertainties

    Access Status
    Open access via publisher
    Authors
    Yin, YanYan
    Liu, Y.
    Karimi, H.
    Date
    2014
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Yin, Y. and Liu, Y. and Karimi, H. 2014. A simplified predictive control of constrained Markov jump system with mixed uncertainties. Abstract and Applied Analysis. 2014.
    Source Title
    Abstract and Applied Analysis
    DOI
    10.1155/2014/475808
    ISSN
    1085-3375
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52108
    Collection
    • Curtin Research Publications
    Abstract

    A simplified model predictive control algorithm is designed for discrete-time Markov jump systems with mixed uncertainties. The mixed uncertainties include model polytope uncertainty and partly unknown transition probability. The simplified algorithm involves finite steps. Firstly, in the previous steps, a simplified mode-dependent predictive controller is presented to drive the state to the neighbor area around the origin. Then the trajectory of states is driven as expected to the origin by the final-step mode-independent predictive controller. The computational burden is dramatically cut down and thus it costs less time but has the acceptable dynamic performance. Furthermore, the polyhedron invariant set is utilized to enlarge the initial feasible area. The numerical example is provided to illustrate the efficiency of the developed results. © 2014 Yanyan Yin et al.

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