Robust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems
محل انتشار: مجله بین المللی ریاضیات صنعتی، دوره: 6، شماره: 2
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 43
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شناسه ملی سند علمی:
JR_IJIM-6-2_006
تاریخ نمایه سازی: 27 دی 1402
چکیده مقاله:
This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertainties are fully taken into account. Also, the robust stability and access to the equilibrium point of the control scheme are analytically proved. Moreover, fast response and easy realization in real world applications are some special features of the suggested method. Finally, as a numerical simulation, control and stabilization of three-dimensional uncertain fractional-order Chen system is provided to illustrate the usefulness and applicability of the proposed approach in practice. It is worth to notice that the proposed active control approach can be employed for robust stabilization of a large class of three-dimensional uncertain nonlinear fractional-order non autonomous dynamical systems.
نویسندگان
A. R. Haghighi
Department of Mathematic, Urmia University of Technology, Urmia, Iran
M. Pourmahmood Aghababa
Electrical Engineering Department, Urmia University of Technology, Urmia, Iran
M. Roohi
Department of Mathematic, Urmia University of Technology, Urmia, Iran