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 | ||
| 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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