Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials
Publish Year: 1394
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-3-3_003
Index date: 6 March 2023
Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials 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_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.
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Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials 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