University of TabrizComputational Methods for Differential Equations2345-39823320150701Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials1771914770ENAyatollahYariDepartment of Applied Mathematics,
Faculty of Mathematical Sciences,
Payame Noor University, PO BOX 19395-3697, Tehran, IranMirkamalMirniaDepartment of Applied Mathematics,
Faculty of Mathematical Sciences,
University of TabrizAghilehHeydariDepartment of Applied Mathematics,
Faculty of Mathematical Sciences,
Payame Noor University, PO BOX 19395-3697, Tehran,IranJournal Article20160125In 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.https://cmde.tabrizu.ac.ir/article_4770_a00ee50be84f54611ea5e5335b492e2d.pdf