Volume 28, 2022
|Number of page(s)||22|
|Published online||03 November 2022|
Structure of optimal control for planetary landing with control and state constraints
1 DTIS, ONERA, Université Paris-Saclay, 91123 Palaiseau, France
2 UMA, ENSTA Paris, Institut Polytechnique de Paris, 91120 Palaiseau, France
* Corresponding author: email@example.com
Accepted: 5 October 2022
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.
Mathematics Subject Classification: 49N60 / 49K15 / 49N90
Key words: Optimal Control / Aerospace / Planetary Landing
© The authors. Published by EDP Sciences, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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