Year: 2026
Type: article
Abstract: 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 the vehicle from reaching the target after 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.
DOI: 10.2514/1.g009777
Institutions: École Nationale Supérieure de Techniques Avancées, École Nationale Supérieure de Techniques Avancées Paris, Centre National de la Recherche Scientifique, École nationale des ponts et chaussées, CERMICS, Institut Polytechnique de Paris, Thales Alenia Space (France), Centre National d'Études Spatiales
Language: English
Subfield: Aerospace Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166333129