Optimal state feedback for constrained nonlinear systems
In this paper, we consider a general nonlinear control system that is subject to both terminal state and continuous inequality constraints. The continuous inequality constraints must be satisfied at every point in the time horizon—an infinite number of points. Our aim is to design an optimal feedbac...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
COC Publications, Curtin University
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/25007 |
| _version_ | 1848751587086827520 |
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| author | Lin, Qun Loxton, Ryan |
| author2 | Honglei Xu |
| author_facet | Honglei Xu Lin, Qun Loxton, Ryan |
| author_sort | Lin, Qun |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a general nonlinear control system that is subject to both terminal state and continuous inequality constraints. The continuous inequality constraints must be satisfied at every point in the time horizon—an infinite number of points. Our aim is to design an optimal feedback controller that yields efficient system performance and satisfaction of all constraints. We first formulate this problem as a semi-infinite optimization problem. We then show that, by using a novel exact penalty approach, this semi-infinite optimization problem can be converted into a sequence of nonlinear programming problems, each of which can be solved using standard numerical techniques. We conclude the paper with some convergence results. |
| first_indexed | 2025-11-14T07:55:05Z |
| format | Conference Paper |
| id | curtin-20.500.11937-25007 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:55:05Z |
| publishDate | 2012 |
| publisher | COC Publications, Curtin University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-250072023-02-02T07:57:40Z Optimal state feedback for constrained nonlinear systems Lin, Qun Loxton, Ryan Honglei Xu Xinmin Yang Yi Zhang In this paper, we consider a general nonlinear control system that is subject to both terminal state and continuous inequality constraints. The continuous inequality constraints must be satisfied at every point in the time horizon—an infinite number of points. Our aim is to design an optimal feedback controller that yields efficient system performance and satisfaction of all constraints. We first formulate this problem as a semi-infinite optimization problem. We then show that, by using a novel exact penalty approach, this semi-infinite optimization problem can be converted into a sequence of nonlinear programming problems, each of which can be solved using standard numerical techniques. We conclude the paper with some convergence results. 2012 Conference Paper http://hdl.handle.net/20.500.11937/25007 COC Publications, Curtin University fulltext |
| spellingShingle | Lin, Qun Loxton, Ryan Optimal state feedback for constrained nonlinear systems |
| title | Optimal state feedback for constrained nonlinear systems |
| title_full | Optimal state feedback for constrained nonlinear systems |
| title_fullStr | Optimal state feedback for constrained nonlinear systems |
| title_full_unstemmed | Optimal state feedback for constrained nonlinear systems |
| title_short | Optimal state feedback for constrained nonlinear systems |
| title_sort | optimal state feedback for constrained nonlinear systems |
| url | http://hdl.handle.net/20.500.11937/25007 |