The moon lander optimal control problem revisited

The moon lander optimal control problem revisited

We revisit the control problem for a spacecraft to land on the moon surface at rest with minimal fuel consumption. We show that a detailed analysis in the related 3D phase space uncovers the existence of infinitely many safe landing curves, contrary to several former 2D descriptions that implicitly...

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Bibliographic Details
Main Authors: Filippo Gazzola, Elsa M. Marchini
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:Mathematics in Engineering
Subjects:
optimal control
bang-bang
moon lander
Online Access:http://www.aimspress.com/article/doi/10.3934/mine.2021040?viewType=HTML
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spelling doaj-cf09543b92304b979964a2369bfd81e92021-03-24T01:24:00ZengAIMS PressMathematics in Engineering2640-35012021-03-013511410.3934/mine.2021040The moon lander optimal control problem revisitedFilippo Gazzola0Elsa M. Marchini1Dipartimento di Matematica, Politecnico di Milano, Piazza L. da Vinci, 32 - 20133 Milano, ItalyDipartimento di Matematica, Politecnico di Milano, Piazza L. da Vinci, 32 - 20133 Milano, ItalyWe revisit the control problem for a spacecraft to land on the moon surface at rest with minimal fuel consumption. We show that a detailed analysis in the related 3D phase space uncovers the existence of infinitely many safe landing curves, contrary to several former 2D descriptions that implicitly claim the existence of just one such curve. Our results lead to a deeper understanding of the dynamics and allows for a precise characterization of the optimal control. Such control is known to be bang-bang and our results give a full characterization of the switch position.http://www.aimspress.com/article/doi/10.3934/mine.2021040?viewType=HTMLoptimal controlbang-bangmoon lander
collection DOAJ
language English
format Article
sources DOAJ
author Filippo Gazzola
Elsa M. Marchini
spellingShingle Filippo Gazzola
Elsa M. Marchini
The moon lander optimal control problem revisited
Mathematics in Engineering
optimal control
bang-bang
moon lander
author_facet Filippo Gazzola
Elsa M. Marchini
author_sort Filippo Gazzola
title The moon lander optimal control problem revisited
title_short The moon lander optimal control problem revisited
title_full The moon lander optimal control problem revisited
title_fullStr The moon lander optimal control problem revisited
title_full_unstemmed The moon lander optimal control problem revisited
title_sort moon lander optimal control problem revisited
publisher AIMS Press
series Mathematics in Engineering
issn 2640-3501
publishDate 2021-03-01
description We revisit the control problem for a spacecraft to land on the moon surface at rest with minimal fuel consumption. We show that a detailed analysis in the related 3D phase space uncovers the existence of infinitely many safe landing curves, contrary to several former 2D descriptions that implicitly claim the existence of just one such curve. Our results lead to a deeper understanding of the dynamics and allows for a precise characterization of the optimal control. Such control is known to be bang-bang and our results give a full characterization of the switch position.
topic optimal control
bang-bang
moon lander
url http://www.aimspress.com/article/doi/10.3934/mine.2021040?viewType=HTML
work_keys_str_mv AT filippogazzola themoonlanderoptimalcontrolproblemrevisited
AT elsammarchini themoonlanderoptimalcontrolproblemrevisited
AT filippogazzola moonlanderoptimalcontrolproblemrevisited
AT elsammarchini moonlanderoptimalcontrolproblemrevisited
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