Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit
This paper considers a spacecraft pursuit-evasion problem taking place in low earth orbit. The problem is formulated as a zero-sum differential game in which there are two players, a pursuing spacecraft that attempts to minimize a payoff, and an evading spacecraft that attempts to maximize the same...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
American Institute of Mathematical Sciences
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/26134 |
| _version_ | 1848751897361514496 |
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| author | Sun, S. Zhang, Q. Loxton, Ryan Li, Bin |
| author_facet | Sun, S. Zhang, Q. Loxton, Ryan Li, Bin |
| author_sort | Sun, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper considers a spacecraft pursuit-evasion problem taking place in low earth orbit. The problem is formulated as a zero-sum differential game in which there are two players, a pursuing spacecraft that attempts to minimize a payoff, and an evading spacecraft that attempts to maximize the same payoff. We introduce two associated optimal control problems and show that a saddle point for the differential game exists if and only if the two optimal control problems have the same optimal value. Then, on the basis of this result, we propose two computational methods for determining a saddle point solution: a semi-direct control parameterization method (SDCP method), which is based on a piecewise-constant control approximation scheme, and a hybrid method, which combines the new SDCP method with the multiple shooting method. Simulation results show that the proposed SDCP and hybrid methodsare superior to the semi-direct collocation nonlinear programming method (SDCNLP method), which is widely used to solve pursuit-evasion problems in the aerospace field. |
| first_indexed | 2025-11-14T08:00:01Z |
| format | Journal Article |
| id | curtin-20.500.11937-26134 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:00:01Z |
| publishDate | 2015 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-261342019-02-19T05:35:39Z Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit Sun, S. Zhang, Q. Loxton, Ryan Li, Bin This paper considers a spacecraft pursuit-evasion problem taking place in low earth orbit. The problem is formulated as a zero-sum differential game in which there are two players, a pursuing spacecraft that attempts to minimize a payoff, and an evading spacecraft that attempts to maximize the same payoff. We introduce two associated optimal control problems and show that a saddle point for the differential game exists if and only if the two optimal control problems have the same optimal value. Then, on the basis of this result, we propose two computational methods for determining a saddle point solution: a semi-direct control parameterization method (SDCP method), which is based on a piecewise-constant control approximation scheme, and a hybrid method, which combines the new SDCP method with the multiple shooting method. Simulation results show that the proposed SDCP and hybrid methodsare superior to the semi-direct collocation nonlinear programming method (SDCNLP method), which is widely used to solve pursuit-evasion problems in the aerospace field. 2015 Journal Article http://hdl.handle.net/20.500.11937/26134 10.3934/jimo.2015.11.1127 American Institute of Mathematical Sciences fulltext |
| spellingShingle | Sun, S. Zhang, Q. Loxton, Ryan Li, Bin Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit |
| title | Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit |
| title_full | Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit |
| title_fullStr | Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit |
| title_full_unstemmed | Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit |
| title_short | Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit |
| title_sort | numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit |
| url | http://hdl.handle.net/20.500.11937/26134 |