Optimal feedback control for dynamic systems with state constraints: An exact penalty approach
In this paper, we consider a class of nonlinear dynamic systems with terminal state and continuous inequality constraints. Our aim is to design an optimal feedback controller that minimizes total system cost and ensures satisfaction of all constraints. We first formulate this problem as a semi-infin...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Springer Verlag
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/24654 |
| _version_ | 1848751490799239168 |
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| author | Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong |
| author_facet | Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong |
| author_sort | Lin, Qun |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a class of nonlinear dynamic systems with terminal state and continuous inequality constraints. Our aim is to design an optimal feedback controller that minimizes total system cost and ensures satisfaction of all constraints. We first formulate this problem as a semi-infinite optimization problem. We then show that by using a new 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 gradient-based optimization methods.We conclude the paper by discussing applications of our work to glider control. |
| first_indexed | 2025-11-14T07:53:34Z |
| format | Journal Article |
| id | curtin-20.500.11937-24654 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:53:34Z |
| publishDate | 2014 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-246542019-02-19T05:35:23Z Optimal feedback control for dynamic systems with state constraints: An exact penalty approach Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong Nonlinear constraints Semi-infinite optimization Exact penalty function State feedback Optimal control In this paper, we consider a class of nonlinear dynamic systems with terminal state and continuous inequality constraints. Our aim is to design an optimal feedback controller that minimizes total system cost and ensures satisfaction of all constraints. We first formulate this problem as a semi-infinite optimization problem. We then show that by using a new 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 gradient-based optimization methods.We conclude the paper by discussing applications of our work to glider control. 2014 Journal Article http://hdl.handle.net/20.500.11937/24654 10.1007/s11590-013-0657-y Springer Verlag fulltext |
| spellingShingle | Nonlinear constraints Semi-infinite optimization Exact penalty function State feedback Optimal control Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong Optimal feedback control for dynamic systems with state constraints: An exact penalty approach |
| title | Optimal feedback control for dynamic systems with state constraints: An exact penalty approach |
| title_full | Optimal feedback control for dynamic systems with state constraints: An exact penalty approach |
| title_fullStr | Optimal feedback control for dynamic systems with state constraints: An exact penalty approach |
| title_full_unstemmed | Optimal feedback control for dynamic systems with state constraints: An exact penalty approach |
| title_short | Optimal feedback control for dynamic systems with state constraints: An exact penalty approach |
| title_sort | optimal feedback control for dynamic systems with state constraints: an exact penalty approach |
| topic | Nonlinear constraints Semi-infinite optimization Exact penalty function State feedback Optimal control |
| url | http://hdl.handle.net/20.500.11937/24654 |