Indirect Method for Optimal Control Problem Using Boubaker Polynomial
In this paper, a computational method for solving optimal problem is presented, using indirect method (spectral methodtechnique) which is based on Boubaker polynomial. By this method the state and the adjoint variables are approximated by Boubaker polynomial with unknown coefficients, thus an optima...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2016-03-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2153 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849710819754901504 |
|---|---|
| author | Baghdad Science Journal |
| author_facet | Baghdad Science Journal |
| author_sort | Baghdad Science Journal |
| collection | DOAJ |
| description | In this paper, a computational method for solving optimal problem is presented, using indirect method (spectral methodtechnique) which is based on Boubaker polynomial. By this method the state and the adjoint variables are approximated by Boubaker polynomial with unknown coefficients, thus an optimal control problem is transformed to algebraic equations which can be solved easily, and then the numerical value of the performance index is obtained. Also the operational matrices of differentiation and integration have been deduced for the same polynomial to help solving the problems easier. A numerical example was given to show the applicability and efficiency of the method. Some characteristics of this polynomial which can be used for solving optimal control problems have been deduced and studied for any future work. |
| format | Article |
| id | doaj-art-6aeb4879a0d34ec688febc811836718a |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2016-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-6aeb4879a0d34ec688febc811836718a2025-08-20T03:14:47ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862016-03-0113110.21123/bsj.13.1.183-189Indirect Method for Optimal Control Problem Using Boubaker PolynomialBaghdad Science JournalIn this paper, a computational method for solving optimal problem is presented, using indirect method (spectral methodtechnique) which is based on Boubaker polynomial. By this method the state and the adjoint variables are approximated by Boubaker polynomial with unknown coefficients, thus an optimal control problem is transformed to algebraic equations which can be solved easily, and then the numerical value of the performance index is obtained. Also the operational matrices of differentiation and integration have been deduced for the same polynomial to help solving the problems easier. A numerical example was given to show the applicability and efficiency of the method. Some characteristics of this polynomial which can be used for solving optimal control problems have been deduced and studied for any future work.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2153"Optimal control problem, Boubaker polynomial, indirect spectral method " |
| spellingShingle | Baghdad Science Journal Indirect Method for Optimal Control Problem Using Boubaker Polynomial مجلة بغداد للعلوم "Optimal control problem, Boubaker polynomial, indirect spectral method " |
| title | Indirect Method for Optimal Control Problem Using Boubaker Polynomial |
| title_full | Indirect Method for Optimal Control Problem Using Boubaker Polynomial |
| title_fullStr | Indirect Method for Optimal Control Problem Using Boubaker Polynomial |
| title_full_unstemmed | Indirect Method for Optimal Control Problem Using Boubaker Polynomial |
| title_short | Indirect Method for Optimal Control Problem Using Boubaker Polynomial |
| title_sort | indirect method for optimal control problem using boubaker polynomial |
| topic | "Optimal control problem, Boubaker polynomial, indirect spectral method " |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2153 |
| work_keys_str_mv | AT baghdadsciencejournal indirectmethodforoptimalcontrolproblemusingboubakerpolynomial |