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

Li, J; Zhang, Q; Yan, XG; Spurgeon, SK; (2017) Robust Stabilization of T-S Fuzzy Stochastic Descriptor Systems via Integral Sliding Modes. IEEE Transactions on Cybernetics 10.1109/TCYB.2017.2749244. (In press). Green open access

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Abstract

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.

Type: Article
Title: Robust Stabilization of T-S Fuzzy Stochastic Descriptor Systems via Integral Sliding Modes
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TCYB.2017.2749244
Publisher version: https://doi.org/10.1109/TCYB.2017.2749244
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Sliding mode control, Stochastic processes, Lyapunov methods, Linear matrix inequalities, Robustness, Fuzzy systems, Symmetric matrices
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10027529
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