عنوان
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Robust Stabilization of Uncertain Time-Delay Systems With Fractional Stochastic Noise Using the Novel Fractional Stochastic Sliding Approach and Its Application to Stream Water Quality Regulation
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Fractional Gaussian noise, fractional Ito process, fractional stochastic systems, linear matrix inequality (LMI), robust sliding mode control, stochastic asymptotic stability
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چکیده
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In this paper, stochastic systems with fractional Gaussian noise (fGn) are stochastically stabilized using a new robust sliding mode control scheme. The system is assumed to have state time delay and the system matrices have uncertainties. The proposed sliding hyper-surface is a fractional Ito process which is proven to be attainable almost surely in finite time by applying the fractional Ito formula. The trajectories of the system will be kept within a time-varying region around the sliding hyper-surface. The stochastic asymptotic stability of the closed-loop dynamics at sliding mode is guaranteed by the feasibility of some linear matrix inequalities (LMIs). The usefulness of the theoretical findings is demonstrated by providing a case study on the problem of stream water quality standards regulation. In addition, to show the effectiveness and superiority of the method a numerical example is presented
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پژوهشگران
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مهدیه طهماسبی (نفر سوم)، وحید جوهری مجد (نفر دوم)، خسرو خاندانی (نفر اول)
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