Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials

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.

Keywords:

Optimal control , Bang-Bang control , Minimum-time , Bezier polynomials family , Best approximation

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

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/1616366

شناسه ملی سند علمی:

JR_CMDE-3-3_003

تاریخ نمایه سازی: 15 اسفند 1401

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Yari, Ayatollah and Mirnia, Mirkamal and Heydari, Aghileh,1394,Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials,https://civilica.com/doc/1616366

Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of Payame Noor University

Type of center: پیام نور

Paper count: 82,667

In the scientometrics section of CIVILICA, you can see the scientific ranking of the Iranian academic and research centers based on the statistics of indexed articles.