عنوان
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A diffusive representation approach toward H∞ sliding mode control design for fractional-order Markovian jump systems
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Fractional-order Markovian jump systems, H∞ sliding mode control, linear matrix inequalities
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چکیده
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This article proposes a new H∞ sliding mode control strategy for stabilizing controller design for fractional-order Markovian jump systems. The suggested approach is based on the diffusive representation of fractional-order Markovian jump systems which transforms the fractional-order system into an integer-order one. Using a new Lyapunov–Krasovskii functional, the problem of H∞ sliding mode control of uncertain fractional-order Markovian jump systems with exogenous noise is investigated. We propose a sliding surface and prove its reachability. Moreover, the linear matrix inequality conditions for stochastic stability of the resultant sliding motion with a given H∞ disturbance attenuation level are derived. Eventually, the theoretical results are verified through a simulation example.
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پژوهشگران
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خسرو خاندانی (نفر دوم)، مجید پرویزیان (نفر اول)
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