Title of article
Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials
Author/Authors
Yari ، Ayatollah - Payame Noor University , Mirnia ، Mirkamal - University of Tabriz , Heydari ، Aghileh - Payame Noor University
Pages
15
From page
177
To page
191
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 [t0 , tf ]. 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.
Keywords
Optimal control , Bang , Bang control , Minimum , time , Bezier polynomials family , Best approximation
Journal title
Computational Methods for Differential Equations
Serial Year
2015
Journal title
Computational Methods for Differential Equations
Record number
2456785
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