A neighboring extremal solution for an optimal switched impulsive control problem
This paper presents a neighboring extremal solution for a class of optimal switched impulsive control problems with perturbations in the initial state, terminal condition and system's parameters. The sequence of mode's switching is pre-specified, and the decision variables, i.e. the switch...
| Main Authors: | , , , |
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| Format: | Journal Article |
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American Institute of Mathematical Sciences
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/43904 |
| _version_ | 1848756843025793024 |
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| author | Jiang, C. Teo, Kok Lay Loxton, Ryan Duan, G. |
| author_facet | Jiang, C. Teo, Kok Lay Loxton, Ryan Duan, G. |
| author_sort | Jiang, C. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper presents a neighboring extremal solution for a class of optimal switched impulsive control problems with perturbations in the initial state, terminal condition and system's parameters. The sequence of mode's switching is pre-specified, and the decision variables, i.e. the switching times and parameters of the system involved, have inequality constraints. It is assumed that the active status of these constraints is unchanged with the perturbations. We derive this solution by expanding the necessary conditions for optimality to first-order and then solving the resulting multiple-point boundary-value problem by the backward sweep technique. Numerical simulations are presented to illustrate this solution method. |
| first_indexed | 2025-11-14T09:18:38Z |
| format | Journal Article |
| id | curtin-20.500.11937-43904 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:18:38Z |
| publishDate | 2012 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-439042017-09-13T16:03:15Z A neighboring extremal solution for an optimal switched impulsive control problem Jiang, C. Teo, Kok Lay Loxton, Ryan Duan, G. switched systems neighboring extremals impulsive control nonlinear dynamic systems Optimal control This paper presents a neighboring extremal solution for a class of optimal switched impulsive control problems with perturbations in the initial state, terminal condition and system's parameters. The sequence of mode's switching is pre-specified, and the decision variables, i.e. the switching times and parameters of the system involved, have inequality constraints. It is assumed that the active status of these constraints is unchanged with the perturbations. We derive this solution by expanding the necessary conditions for optimality to first-order and then solving the resulting multiple-point boundary-value problem by the backward sweep technique. Numerical simulations are presented to illustrate this solution method. 2012 Journal Article http://hdl.handle.net/20.500.11937/43904 10.3934/jimo.2012.8.591 American Institute of Mathematical Sciences fulltext |
| spellingShingle | switched systems neighboring extremals impulsive control nonlinear dynamic systems Optimal control Jiang, C. Teo, Kok Lay Loxton, Ryan Duan, G. A neighboring extremal solution for an optimal switched impulsive control problem |
| title | A neighboring extremal solution for an optimal switched impulsive control problem |
| title_full | A neighboring extremal solution for an optimal switched impulsive control problem |
| title_fullStr | A neighboring extremal solution for an optimal switched impulsive control problem |
| title_full_unstemmed | A neighboring extremal solution for an optimal switched impulsive control problem |
| title_short | A neighboring extremal solution for an optimal switched impulsive control problem |
| title_sort | neighboring extremal solution for an optimal switched impulsive control problem |
| topic | switched systems neighboring extremals impulsive control nonlinear dynamic systems Optimal control |
| url | http://hdl.handle.net/20.500.11937/43904 |