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    Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities

    Access Status
    Fulltext not available
    Authors
    Yin, YanYan
    Shi, P.
    Liu, F.
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Yin, Y. and Shi, P. and Liu, F. 2011. Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities. Journal of the Franklin Institute. 348 (4): pp. 685-702.
    Source Title
    Journal of the Franklin Institute
    DOI
    10.1016/j.jfranklin.2011.01.011
    ISSN
    0016-0032
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52470
    Collection
    • Curtin Research Publications
    Abstract

    This paper studies the problem of continuous gain-scheduled PI tracking control on a class of stochastic nonlinear systems subject to partially known jump probabilities and time-varying delays. First, gradient linearization procedure is used to construct model-based linear stochastic systems in the vicinity of selected operating states. Next, based on stochastic Lyapunov stabilization analysis, sufficient conditions for the existence of a PI tracking control are established for each linear model in terms of linear matrix inequalities. Finally, continuous gain-scheduled approach is employed to design continuous nonlinear PI tracking controllers on the entire nonlinear jump system. Simulation example is given to illustrate the effectiveness of the developed design techniques. © 2011 The Franklin Institute © 2011 Published by Elsevier Ltd. on behalf of The Franklin Institute.

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