| Title:
|
Direct solution of nonlinear constrained quadratic optimal control problems using B-spline functions (English) |
| Author:
|
Edrisi Tabriz, Yousef |
| Author:
|
Lakestani, Mehrdad |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
81-98 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a new numerical method for solving the nonlinear constrained optimal control with quadratic performance index is presented. The method is based upon B-spline functions. The properties of B-spline functions are presented. The operational matrix of derivative ($\mathbf{D}_\phi$) and integration matrix ($\mathbf{P}$) are introduced. These matrices are utilized to reduce the solution of nonlinear constrained quadratic optimal control to the solution of nonlinear programming one to which existing well-developed algorithms may be applied. Illustrative examples are included to demonstrate the validity and applicability of the technique. (English) |
| Keyword:
|
optimal control problem |
| Keyword:
|
B-spline functions |
| Keyword:
|
derivative matrix |
| Keyword:
|
collocation method |
| MSC:
|
49M25 |
| MSC:
|
49N10 |
| MSC:
|
65D07 |
| MSC:
|
65L60 |
| MSC:
|
65R10 |
| idZBL:
|
Zbl 06433833 |
| idMR:
|
MR3333834 |
| DOI:
|
10.14736/kyb-2015-1-0081 |
| . |
| Date available:
|
2015-03-23T18:50:21Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144203 |
| . |
| Reference:
|
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