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Efficient Computation of Reachable Sets for Critical Space Mission Phases

Chan, Kai Wah and Seelbinder, David and Theil, Stephan and Knauer, Matthias and Büskens, Christof (2018) Efficient Computation of Reachable Sets for Critical Space Mission Phases. Proceedings in Applied Mathematics and Mechanics, 18 (1), e201800241. Wiley. doi: 10.1002/pamm.201800241. ISSN 1617-7061.

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Official URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201800241

Abstract

Abstract To achieve true autonomy during critical mission phases in deep space, it is imperative to know which states are attainable from a given starting point using only admissible control inputs. These attainable states form the reachable set. If the latter is computed in real time, this can provide a system for Guidance, Navigation and Control on-board of an autonomous spacecraft with knowledge of all the feasible and infeasible options in order to choose the correct course of action. Though several means exist to compute reachable sets, the most promising ones are based on optimization techniques. We currently explore an approach, in which we approximate a reachable set with an altering polytope. The center of a selected facet of the polytope is the starting point from which a new feasible vertex is placed in normal direction with the largest possible step size. This approximates the set boundary successively. Simultaneously, the underlying equations of motion must be satisfied. We formulate these tasks as an optimal control problem.

Item URL in elib:https://elib.dlr.de/186928/
Document Type:Article
Title:Efficient Computation of Reachable Sets for Critical Space Mission Phases
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Chan, Kai WahKaiWah.Chan (at) dlr.dehttps://orcid.org/0000-0003-3901-7152
Seelbinder, DavidDavid.Seelbinder (at) dlr.dehttps://orcid.org/0000-0003-4080-3169
Theil, StephanStephan.Theil (at) dlr.dehttps://orcid.org/0000-0002-5346-8091
Knauer, Matthiasknauer (at) uni-bremen.dehttps://orcid.org/0000-0003-2340-6284
Büskens, Christofbueskens (at) math.uni-bremen.dehttps://orcid.org/0000-0001-7385-4670
Date:17 December 2018
Journal or Publication Title:Proceedings in Applied Mathematics and Mechanics
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:18
DOI:10.1002/pamm.201800241
Page Range:e201800241
Publisher:Wiley
ISSN:1617-7061
Status:Published
Keywords:reachable sets, GNC
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Optical navigation on hybrid avionics architecture
Location: Bremen
Institutes and Institutions:Institute of Space Systems > Navigation and Control Systems
Deposited By: Theil, Dr.-Ing. Stephan
Deposited On:27 Jun 2022 11:17
Last Modified:05 Jul 2022 09:21

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