Optimal control computation for nonlinear systems with state-dependent stopping criteria
In this paper, we consider a challenging optimal control problem in which the terminal time is determined by a stopping criterion. This stopping criterion is defined by a smooth surface in the state space; when the state trajectory hits this surface, the governing dynamic system stops. By restrictin...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Pergamon
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/26243 |
| _version_ | 1848751930746077184 |
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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 challenging optimal control problem in which the terminal time is determined by a stopping criterion. This stopping criterion is defined by a smooth surface in the state space; when the state trajectory hits this surface, the governing dynamic system stops. By restricting the controls to piecewise constant functions, we derive a finite-dimensional approximation of the optimal control problem. We then develop an efficient computational method, based on nonlinear programming, for solving the approximate problem. We conclude the paper with four numerical examples. |
| first_indexed | 2025-11-14T08:00:33Z |
| format | Journal Article |
| id | curtin-20.500.11937-26243 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:00:33Z |
| publishDate | 2012 |
| publisher | Pergamon |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-262432019-02-19T04:27:41Z Optimal control computation for nonlinear systems with state-dependent stopping criteria Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong In this paper, we consider a challenging optimal control problem in which the terminal time is determined by a stopping criterion. This stopping criterion is defined by a smooth surface in the state space; when the state trajectory hits this surface, the governing dynamic system stops. By restricting the controls to piecewise constant functions, we derive a finite-dimensional approximation of the optimal control problem. We then develop an efficient computational method, based on nonlinear programming, for solving the approximate problem. We conclude the paper with four numerical examples. 2012 Journal Article http://hdl.handle.net/20.500.11937/26243 10.1016/j.automatica.2012.06.055 Pergamon fulltext |
| spellingShingle | Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong Optimal control computation for nonlinear systems with state-dependent stopping criteria |
| title | Optimal control computation for nonlinear systems with state-dependent stopping criteria |
| title_full | Optimal control computation for nonlinear systems with state-dependent stopping criteria |
| title_fullStr | Optimal control computation for nonlinear systems with state-dependent stopping criteria |
| title_full_unstemmed | Optimal control computation for nonlinear systems with state-dependent stopping criteria |
| title_short | Optimal control computation for nonlinear systems with state-dependent stopping criteria |
| title_sort | optimal control computation for nonlinear systems with state-dependent stopping criteria |
| url | http://hdl.handle.net/20.500.11937/26243 |