Browsing by Author "Liu, Sung-Chieh"

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LMI-based robust sliding control for mismatched uncertain nonlinear systems using fuzzy models
(2012-11-10)
Liu, Sung-Chieh
;
Lin, Sheng-Fuu
;
電機工程學系
;
Department of Electrical and Computer Engineering
We propose a robust sliding control design method for uncertain TakagiSugeno fuzzy models. The uncertain fuzzy systems under consideration have mismatched parameter uncertainties in the state matrix and external disturbances. We make the first attempt to relax the restrictive assumption that each nominal local system model shares the same input channel, which is required in the traditional VSS-based fuzzy control design methods. We derive the existence conditions of linear sliding surfaces guaranteeing the asymptotic stability in terms of constrained LMIs. We present an LMI characterization of such sliding surfaces. Also, an LMI-based algorithm is given to design the switching feedback control term so that a stable sliding motion is induced in finite time. Finally, we give two simulation results to show the effectiveness of the proposed method. Copyright (c) 2011 John Wiley & Sons, Ltd.
Robust sliding control for mismatched uncertain fuzzy time-delay systems using linear matrix inequality approach
(2013)
Liu, Sung-Chieh
;
Lin, Sheng-Fuu
;
電機工程學系
;
Department of Electrical and Computer Engineering
In this article, we propose a robust sliding control design method for uncertain time-delay systems that can be represented by Takagi-Sugeno fuzzy models. The uncertain fuzzy time-delay systems under consideration have mismatched parameter uncertainties in the state matrix and external disturbances. We derive existence conditions of linear sliding surfaces guaranteeing the asymptotic stability in terms of constrained linear matrix inequalities (LMIs). We present an LMI characterization of such sliding surfaces. Also, an LMI-based algorithm is given to design the switching feedback control term so that a stable sliding motion is induced in finite time. Finally, we give two numerical design examples to show the effectiveness of the proposed method.