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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2022

Structure of optimal control for planetary landing with control and state constraints

Résumé

This paper studies a vertical powered descent problem in the context of planetary landing, considering glide-slope and thrust pointing constraints and minimizing any final cost. In a first time, it proves the Max-Min-Max or Max-Singular-Max form of the optimal control using the Pontryagin Maximum Principle, and it extends this result to a problem formulation considering the effect of an atmosphere. It also shows that the singular structure does not appear in generic cases. In a second time, it theoretically analyzes the optimal trajectory for a more specific problem formulation to show that there can be at most one contact or boundary interval with the state constraint on each Max or Min arc.
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Dates et versions

hal-03642339 , version 1 (05-03-2024)

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Clara Leparoux, Bruno Hérissé, Frédéric Jean. Structure of optimal control for planetary landing with control and state constraints. ESAIM: Control, Optimisation and Calculus of Variations, 2022, 28, ⟨10.1051/cocv/2022065⟩. ⟨hal-03642339⟩
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