Multi-objective low-thrust spacecraft trajectory design using reachability analysis
One of the fundamental problems in spacecraft trajectory design is finding the optimal transfer trajectory that minimizes the propellant consumption and transfer time simultaneously. We formulate this as a multi-objective optimal control (MOC) problem that involves optimizing over the initial or fin...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2022
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| _version_ | 1826310000758226944 |
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| author | Vertovec, N Ober-Blöbaum, S Margellos, K |
| author_facet | Vertovec, N Ober-Blöbaum, S Margellos, K |
| author_sort | Vertovec, N |
| collection | OXFORD |
| description | One of the fundamental problems in spacecraft trajectory design is finding the optimal transfer trajectory that minimizes the propellant consumption and transfer time simultaneously. We formulate this as a multi-objective optimal control (MOC) problem that involves optimizing over the initial or final state, subject to state constraints. Drawing on recent developments in reachability analysis subject to state constraints, we show that the proposed MOC problem can be stated as an optimization problem subject to a constraint that involves the sub-level set of the viscosity solution of a quasi-variational inequality. We then generalize this approach to account for more general optimal control problems in Bolza form. We relate these problems to the Pareto front of the developed multi-objective programs. The proposed approach is demonstrated on two low-thrust orbital transfer problems around a rotating asteroid. |
| first_indexed | 2024-03-07T07:44:05Z |
| format | Journal article |
| id | oxford-uuid:84f61a35-7e1e-46db-b036-b882c7a7c6b9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:44:05Z |
| publishDate | 2022 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:84f61a35-7e1e-46db-b036-b882c7a7c6b92023-05-18T08:27:15ZMulti-objective low-thrust spacecraft trajectory design using reachability analysisJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:84f61a35-7e1e-46db-b036-b882c7a7c6b9EnglishSymplectic ElementsElsevier2022Vertovec, NOber-Blöbaum, SMargellos, KOne of the fundamental problems in spacecraft trajectory design is finding the optimal transfer trajectory that minimizes the propellant consumption and transfer time simultaneously. We formulate this as a multi-objective optimal control (MOC) problem that involves optimizing over the initial or final state, subject to state constraints. Drawing on recent developments in reachability analysis subject to state constraints, we show that the proposed MOC problem can be stated as an optimization problem subject to a constraint that involves the sub-level set of the viscosity solution of a quasi-variational inequality. We then generalize this approach to account for more general optimal control problems in Bolza form. We relate these problems to the Pareto front of the developed multi-objective programs. The proposed approach is demonstrated on two low-thrust orbital transfer problems around a rotating asteroid. |
| spellingShingle | Vertovec, N Ober-Blöbaum, S Margellos, K Multi-objective low-thrust spacecraft trajectory design using reachability analysis |
| title | Multi-objective low-thrust spacecraft trajectory design using reachability analysis |
| title_full | Multi-objective low-thrust spacecraft trajectory design using reachability analysis |
| title_fullStr | Multi-objective low-thrust spacecraft trajectory design using reachability analysis |
| title_full_unstemmed | Multi-objective low-thrust spacecraft trajectory design using reachability analysis |
| title_short | Multi-objective low-thrust spacecraft trajectory design using reachability analysis |
| title_sort | multi objective low thrust spacecraft trajectory design using reachability analysis |
| work_keys_str_mv | AT vertovecn multiobjectivelowthrustspacecrafttrajectorydesignusingreachabilityanalysis AT oberblobaums multiobjectivelowthrustspacecrafttrajectorydesignusingreachabilityanalysis AT margellosk multiobjectivelowthrustspacecrafttrajectorydesignusingreachabilityanalysis |