عنوان
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Robust integral sliding mode control for Markovian jump systems: A singular system approach
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نوع پژوهش
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مقاله ارائهشده
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کلیدواژهها
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Power system stability, Sliding mode control, Stochastic processes, Stability analysis, Power system dynamics, Numerical stability, Linear matrix inequalities
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چکیده
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In this paper, an integral-type sliding mode controller is designed for continuous-time Markovian jump systems based on a singular system approach. The system's dynamical equations include an unknown function denoting the nonlinear uncertainty. The regularity, non-impulsiveness and stochastic stability of the resulting Markovian jump singular system are guaranteed by a new sufficient conditions in terms of strict linear matrix inequalities (LMIs). As a result, stochastic admissibility for sliding mode dynamics is assured. Then, a sliding mode control law is designed such that the closed-loop system's trajectories converge to predefined sliding surfaces in a finite time and remain there for all subsequent times. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
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پژوهشگران
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شریف عبدالواحد (نفر چهارم)، حمید رضا مومنی (برق) (نفر سوم)، امیرحسین ابوالمعصومی (نفر دوم)، نسیبه زهرابی (نفر اول)
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