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    Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates

    Access Status
    Fulltext not available
    Authors
    Yin, YanYan
    Liu, F.
    Shi, P.
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Yin, Y. and Liu, F. and Shi, P. 2011. Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates. Circuits, Systems, and Signal Processing. 30 (3): pp. 609-627.
    Source Title
    Circuits, Systems, and Signal Processing
    DOI
    10.1007/s00034-010-9236-y
    ISSN
    0278-081X
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52422
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, an observer-based finite-time continuous gain-scheduled control is designed for a class of stochastic bioreactor systems with partially known jump rates. By using gradient linearization approach, the nonlinear stochastic systems are described by a series of linear jump models at some selected working points, then based on stochastic Lyapunov-Krasovskii functional approach, a new robust stochastic finite-time stabilizable criterion is derived to ensure robust finite-time stabilization of the each jump linear system by means of linear matrix inequalities. This method is then extended to provide observer-based finite-time state feedback H8 controllers for such linear jump systems. Lastly, continuous gain-scheduled approach is employed to design observer-based continuous H8 controllers for the whole bioreactor jump systems. Simulation examples show the effectiveness and potential of the developed techniques. © 2010 Springer Science+Business Media, LLC.

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