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Bibliographic Details
Main Authors: Chancelier, Jean-Philippe, Carpentier, Pierre, Cohen, Guy, Dargent, Thierry, Epenoy, Richard
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.14274
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Table of 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.