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Nonlinear Control for Proximity Operations Based on Differential Algebra

Di Mauro, Giuseppe and Schlotterer, Markus and Theil, Stephan and Lavagna, Michèle (2015) Nonlinear Control for Proximity Operations Based on Differential Algebra. Journal of Guidance, Control, and Dynamics, 38 (11), pp. 2173-2187. American Institute of Aeronautics and Astronautics (AIAA). doi: 10.2514/1.g000842. ISSN 0731-5090.

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A new algorithm based on differential algebra (DA) is proposed to obtain a high order Taylor expansion of State-Dependent Riccati Equation (SDRE) solution. The main advantage of this approach is that the sub-optimal solution of a class of non-linear optimal control problem, characterized by a quadratic cost function and an input-affine plant model, is obtained by a mere evaluation of a polynomial expression, reducing the computational effort due to well-known algorithm for the SDRE solution. Relative position tracking and attitude synchronization problem involving in docking maneuvering operations between two Earth satellites is investigated. Particularly, two possible docking scenarios are simulated by using a specific platform designed by DLR (Deutsches Zentrum für Luft- und Raumfahrt) Institute of Space Systems to emulate the satellite motion on ground. The experiments show the effectiveness of proposed DA-based algorithm and the potential computational benefit when it runs on a real hardware.

Item URL in elib:https://elib.dlr.de/106679/
Document Type:Article
Title:Nonlinear Control for Proximity Operations Based on Differential Algebra
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Di Mauro, GiuseppeAerospace Engineering Department, Politecnico di MilanoUNSPECIFIEDUNSPECIFIED
Schlotterer, MarkusUNSPECIFIEDhttps://orcid.org/0000-0002-6565-3622UNSPECIFIED
Theil, StephanUNSPECIFIEDhttps://orcid.org/0000-0002-5346-8091136892148
Lavagna, MichèleAerospace Engineering Department, Politecnico di MilanoUNSPECIFIEDUNSPECIFIED
Journal or Publication Title:Journal of Guidance, Control, and Dynamics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 2173-2187
Publisher:American Institute of Aeronautics and Astronautics (AIAA)
Keywords:sdfasdf dklfjsdklfja klsj sdkjfasdklj faskdjfasdkljf sdklöjfsk
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 - Lageregelungstechnik / Formationsflug (old)
Location: Bremen
Institutes and Institutions:Institute of Space Systems > Navigation and Control Systems
Deposited By: Schlotterer, Dr. Markus
Deposited On:20 Oct 2016 11:37
Last Modified:14 Jun 2023 16:42

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