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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2511.14274 |
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| _version_ | 1866915625580888064 |
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| author | Chancelier, Jean-Philippe Carpentier, Pierre Cohen, Guy Dargent, Thierry Epenoy, Richard |
| author_facet | Chancelier, Jean-Philippe Carpentier, Pierre Cohen, Guy Dargent, Thierry Epenoy, Richard |
| contents | The problem under consideration is to drive a spatial vehicle to a target at a given final time while minimizing fuel consumption. This is a classical optimal control problem in a deterministic setting. However temporary stochastic failures of the engine may prevent reaching the target after the engine usage is recovered. Therefore, a stochastic optimal control problem is formulated under the constraint of ensuring a minimal probability of hitting the target. This problem is modeled, improved and finally solved by dualizing the probability constraint and using an Arrow-Hurwicz stochastic algorithm. Numerical results concerning an interplanetary mission are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14274 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low-thrust Interplanetary Trajectories with Missed Thrust Events: a Numerical Approach Chancelier, Jean-Philippe Carpentier, Pierre Cohen, Guy Dargent, Thierry Epenoy, Richard Numerical Analysis The problem under consideration is to drive a spatial vehicle to a target at a given final time while minimizing fuel consumption. This is a classical optimal control problem in a deterministic setting. However temporary stochastic failures of the engine may prevent reaching the target after the engine usage is recovered. Therefore, a stochastic optimal control problem is formulated under the constraint of ensuring a minimal probability of hitting the target. This problem is modeled, improved and finally solved by dualizing the probability constraint and using an Arrow-Hurwicz stochastic algorithm. Numerical results concerning an interplanetary mission are presented. |
| title | Low-thrust Interplanetary Trajectories with Missed Thrust Events: a Numerical Approach |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2511.14274 |