A Robust Sliding Mode Control for a Class of Nonlinear Fractional Order Systems with Delay
سال انتشار: 1401
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 121
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شناسه ملی سند علمی:
EESCONF08_006
تاریخ نمایه سازی: 8 آذر 1401
چکیده مقاله:
In this article, a strategy based on fractional order integral sliding mode control will be presented, based on which a class of delayed fractional order non-linear systems including disturbance and uncertainty can be stabilized. To achieve this goal, we provide a fractional integral sliding surface and by choosing a discrete control law, we guarantee that the state variables will remain on it after reaching the sliding surface. To prove this issue, we state and prove a theorem. In the following, using Razumukhin's stability theorem for delayed systems and linear matrix inequality, we state a theorem for calculating the effective parameter in calculating the sliding surface. A numerical example is simulated to show the effectiveness of the results. Finally, we end this article with a conclusion..
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نویسندگان
Mohammad Ghamgosar
Academic Center for Education, Cultural and Research (ACCECR) Rasht, Iran
Seyed Mehdi Mirhosseini-Alizamini
Department Mathematics, Payam Noor University(PNU)Tehran, Iran