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A novel scheme for solving multi-delay fractional optimal control problems | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 174، دوره 13، شماره 1، خرداد 2022، صفحه 2095-2113 اصل مقاله (411.57 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22885.2428 | ||
نویسنده | ||
Seyed Mehdi Mirhosseini Alizamini* | ||
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran | ||
تاریخ دریافت: 21 اسفند 1399، تاریخ بازنگری: 04 تیر 1400، تاریخ پذیرش: 07 تیر 1400 | ||
چکیده | ||
In this paper, we consider the problems of suboptimal control for a class of fractional-order optimal control problems with multi-delay argument. The fractional derivative in these problems is in the Caputo sense. To solve the problem, first by a suitable approximation, we replace the Caputo derivative to integer order derivative. The optimal control law consists of an accurate linear feedback term and a nonlinear compensation term which is the limit of an adjoint vector sequence, is obtained by a sensitivity approach. The feed back term is determined by solving Riccati matrix differential equation. By using a finite sum of the series, we can obtain a suboptimal control law. Finally, numerical results are included to demonstrate the validity and applicability of the present technique. | ||
کلیدواژهها | ||
Delay optimal control problems؛ Fractional order؛ Riccati differential equation؛ Caputo deriavitive | ||
مراجع | ||
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