The control parameterization method for nonlinear optimal control: A survey
The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, t...
| Main Authors: | , , |
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| Format: | Journal Article |
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American Institute of Mathematical Sciences
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/9322 |
| _version_ | 1848745915507015680 |
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| author | Lin, Qun Loxton, Ryan Teo, Kok Lay |
| author_facet | Lin, Qun Loxton, Ryan Teo, Kok Lay |
| author_sort | Lin, Qun |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, the optimal control problem is reduced to an approximate nonlinear optimization problem with a finite number of decision variables. This approximate problem can then be solved using nonlinear programming techniques. The aim of this paper is to introduce the fundamentals of the control parameterization method and survey its various applications to non-standard optimal control problems. Topics discussed include gradient computation, numerical convergence, variable switching times, and methods for handling state constraints. We conclude the paper with some suggestions for future research. |
| first_indexed | 2025-11-14T06:24:57Z |
| format | Journal Article |
| id | curtin-20.500.11937-9322 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:24:57Z |
| publishDate | 2014 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-93222017-09-13T14:52:03Z The control parameterization method for nonlinear optimal control: A survey Lin, Qun Loxton, Ryan Teo, Kok Lay switching times time-scaling transformation state constraints control parameterization Optimal control The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, the optimal control problem is reduced to an approximate nonlinear optimization problem with a finite number of decision variables. This approximate problem can then be solved using nonlinear programming techniques. The aim of this paper is to introduce the fundamentals of the control parameterization method and survey its various applications to non-standard optimal control problems. Topics discussed include gradient computation, numerical convergence, variable switching times, and methods for handling state constraints. We conclude the paper with some suggestions for future research. 2014 Journal Article http://hdl.handle.net/20.500.11937/9322 10.3934/jimo.2014.10.275 American Institute of Mathematical Sciences fulltext |
| spellingShingle | switching times time-scaling transformation state constraints control parameterization Optimal control Lin, Qun Loxton, Ryan Teo, Kok Lay The control parameterization method for nonlinear optimal control: A survey |
| title | The control parameterization method for nonlinear optimal control: A survey |
| title_full | The control parameterization method for nonlinear optimal control: A survey |
| title_fullStr | The control parameterization method for nonlinear optimal control: A survey |
| title_full_unstemmed | The control parameterization method for nonlinear optimal control: A survey |
| title_short | The control parameterization method for nonlinear optimal control: A survey |
| title_sort | control parameterization method for nonlinear optimal control: a survey |
| topic | switching times time-scaling transformation state constraints control parameterization Optimal control |
| url | http://hdl.handle.net/20.500.11937/9322 |