Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-3-3_003
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
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_۰,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.
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Authors
Ayatollah Yari
Department of Applied Mathematics, Faculty of Mathematical Sciences, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran, Iran
Mirkamal Mirnia
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz
Aghileh Heydari
Department of Applied Mathematics, Faculty of Mathematical Sciences, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran,Iran