A new computational strategy for optimal control problem with a cost on changing control
© 2016 American Institute of Mathematical Sciences. All rights reserved.In this paper, we consider a class of optimal control problems where the cost function is the sum of the terminal cost, the integral cost and the full variation of control. Here, the full variation of a control is defined as the...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
American Institute of Mathematical Sciences
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/63536 |
| _version_ | 1848761113978601472 |
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| author | Wang, Y. Yu, C. Teo, Kok Lay |
| author_facet | Wang, Y. Yu, C. Teo, Kok Lay |
| author_sort | Wang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016 American Institute of Mathematical Sciences. All rights reserved.In this paper, we consider a class of optimal control problems where the cost function is the sum of the terminal cost, the integral cost and the full variation of control. Here, the full variation of a control is defined as the sum of the total variations of its components. By using the control parameterization technique in conjunction with the time scaling transformation, we develop a new computational algorithm for solving this type of optimal control problem. Rigorous convergence analysis is provided for the new method. For illustration, we solve two numerical examples to show the effectiveness of the proposed method. |
| first_indexed | 2025-11-14T10:26:31Z |
| format | Journal Article |
| id | curtin-20.500.11937-63536 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:26:31Z |
| publishDate | 2016 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-635362018-02-06T07:40:43Z A new computational strategy for optimal control problem with a cost on changing control Wang, Y. Yu, C. Teo, Kok Lay © 2016 American Institute of Mathematical Sciences. All rights reserved.In this paper, we consider a class of optimal control problems where the cost function is the sum of the terminal cost, the integral cost and the full variation of control. Here, the full variation of a control is defined as the sum of the total variations of its components. By using the control parameterization technique in conjunction with the time scaling transformation, we develop a new computational algorithm for solving this type of optimal control problem. Rigorous convergence analysis is provided for the new method. For illustration, we solve two numerical examples to show the effectiveness of the proposed method. 2016 Journal Article http://hdl.handle.net/20.500.11937/63536 10.3934/naco.2016016 American Institute of Mathematical Sciences unknown |
| spellingShingle | Wang, Y. Yu, C. Teo, Kok Lay A new computational strategy for optimal control problem with a cost on changing control |
| title | A new computational strategy for optimal control problem with a cost on changing control |
| title_full | A new computational strategy for optimal control problem with a cost on changing control |
| title_fullStr | A new computational strategy for optimal control problem with a cost on changing control |
| title_full_unstemmed | A new computational strategy for optimal control problem with a cost on changing control |
| title_short | A new computational strategy for optimal control problem with a cost on changing control |
| title_sort | new computational strategy for optimal control problem with a cost on changing control |
| url | http://hdl.handle.net/20.500.11937/63536 |