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    Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties

    Access Status
    Fulltext not available
    Authors
    Liu, Y.
    Yin, Y.
    Liu, F.
    Shi, P.
    Teo, Kok Lay (ah Nge)
    Date
    2013
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Liu, Yanquin and Yin, Yanyan and Liu, Fei and Shi, Peng and Teo, Kok Lay. 2013. Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties, in Proceedings of the 2013 IEEE 8th Conference on Industrial Electronics and Applications, Jun 19-21 2013, pp. 1544-1549. Melbourne, VIC.
    Source Title
    Proceedings of the 2013 IEEE 8th Conference on Industrial Electronics and Applications
    Source Conference
    Proceedings of the 2013 IEEE 8th Conference on Industrial Electronics and Applications
    DOI
    10.1109/ICIEA.2013.6566613
    ISBN
    978-146736321-1
    URI
    http://hdl.handle.net/20.500.11937/32215
    Collection
    • Curtin Research Publications
    Abstract

    This paper studies the problem of robust gain-scheduled H8 controller design for a class of nonlinear Markov jump systems with mixed uncertainties, one is time-varying transition probabilities, which follows a nonhomogeneous jump process, and the other one is parameter uncertainty. Nonlinearity of such systems is linearized by means of gradient linearization procedure, and stochastic linear models are constructed in the vicinity of selected operating states, the time varying transition probability matrix is described as a polytope set. By Lyapunov function approach, under the designed controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H8 performance index is satisfied. Finally, continuous gain-scheduled approach is employed to design continuous time-varying controller on the entire nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques

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