IEEE This paper addresses the robust stabilization problem for T-S fuzzy stochastic descriptor systems using an integral sliding mode control paradigm. A classical integral sliding mode control scheme and a nonparallel distributed compensation (Non-PDC) integral sliding mode control scheme are presented. It is shown that two restrictive assumptions previously adopted developing sliding mode controllers for Takagi-Sugeno (T-S) fuzzy stochastic systems are not required with the proposed framework. A unified framework for sliding mode control of T-S fuzzy systems is formulated. The proposed Non-PDC integral sliding mode control scheme encompasses existing schemes when the previously imposed assumptions hold. Stability of the sliding motion is analyzed and the sliding mode controller is parameterized in terms of the solutions of a set of linear matrix inequalities which facilitates design. The methodology is applied to an inverted pendulum model to validate the effectiveness of the results presented.


    Access

    Download


    Export, share and cite



    Title :

    Robust Stabilization of T-S Fuzzy Stochastic Descriptor Systems via Integral Sliding Modes


    Contributors:
    Li, J (author) / Zhang, Q (author) / Yan, XG (author) / Spurgeon, SK (author)

    Publication date :

    2017-09-19


    Remarks:

    IEEE Transactions on Cybernetics (2017) (In press).


    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629



    Observer-Based Fuzzy Integral Sliding Mode Control For Nonlinear Descriptor Systems

    Li, J / Zhang, Q / Yan, XG et al. | BASE | 2018

    Free access

    Robust Stabilization of Descriptor Systems via State Feedback

    Masubuchi, I. / Ohara, A. / Suda, N. | British Library Online Contents | 1994


    Robust Stabilization with Disturbance Attenuation of Descriptor Systems

    Yasuda, K. / Noso, F. | British Library Online Contents | 1998


    Robust Stabilization of Linear Descriptor Systems - A Quadratic Stabilization Approach to Equivalent Systems

    Uezato, E. / Ikeda, M. / Tohyama, R. | British Library Online Contents | 1998


    Fuzzy-Model-Based Sliding Mode Control of Nonlinear Descriptor Systems

    Wang Y. / Karimi H. R. / Shen H. et al. | BASE | 2019

    Free access