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Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials | ||
| Computational Methods for Differential Equations | ||
| مقاله 9، دوره 3، شماره 3، مهر 2015، صفحه 177-191 اصل مقاله (249.34 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Ayatollah Yari* 1؛ Mirkamal Mirnia2؛ Aghileh Heydari3 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, Payame Noor University, PO BOX 19395-3697, Tehran, Iran | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz | ||
| 3Department of Applied Mathematics, Faculty of Mathematical Sciences, Payame Noor University, PO BOX 19395-3697, Tehran,Iran | ||
| چکیده | ||
| In this paper, a new numerical method is presented for solving the optimal control problems of Bang-Bang type with free or fixed terminal time. The method is based on Bezier polynomials which are presented in any interval as $[t_0,t_f]$. The problems are reduced to a constrained problems which can be solved by using Lagrangian method. The constraints of these problems are terminal state and conditions. Illustrative examples are included to demonstrate the validity and applicability of the method. | ||
| کلیدواژهها | ||
| Optimal control؛ Bang-Bang control؛ Minimum-time؛ Bezier polynomials family؛ Best approximation | ||
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