An approximation method for numerical solution of multi-dimensional feedback delay fractional optimal control problems by Bernstein polynomials
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 362
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شناسه ملی سند علمی:
JR_IJNAO-4-1_005
تاریخ نمایه سازی: 6 شهریور 1396
چکیده مقاله:
In this paper we present a new method for solving fractional optimal control problems with delays in state and control. This method is based upon Bernstein polynomial basis and using feedback control. The main advantage of using feedback or closed-loop controls is that they can monitor their effect on the system and modify the output accordingly. In this work, we use Bernstein polynomials to transform the fractional time-varying multi-dimensional optimal control system with both state and control delays, into an algabric system in terms of the Bernstein coefficients approximating state and control functions. We use Caputo derivative of degree 0 < a ≤ 1 as the fractional derivative in our work. Finally, some numerical examples are given to illustrate the effectiveness of this method.
کلیدواژه ها:
نویسندگان
e Safaie
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi univer-sity of Mashhad, Mashhad, Iran.
m.h farahi
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi univer-sity of Mashhad, Mashhad, Iran, and The center of Excellence on Modelling and Control Systems (CEMCS), Mashhad, Iran.