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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). ISSN 0731-5090

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Abstract

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
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Di Mauro, GiuseppeAerospace Engineering Department, Politecnico di MilanoUNSPECIFIED
Schlotterer, Markusmarkus.schlotterer (at) dlr.deUNSPECIFIED
Theil, Stephanstephan.theil (at) dlr.deUNSPECIFIED
Lavagna, MichèleAerospace Engineering Department, Politecnico di MilanoUNSPECIFIED
Date:2015
Journal or Publication Title:Journal of Guidance, Control, and Dynamics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:38
Page Range:pp. 2173-2187
Publisher:American Institute of Aeronautics and Astronautics (AIAA)
ISSN:0731-5090
Status:Published
Keywords:sdfasdf dklfjsdklfja klsj sdkjfasdklj faskdjfasdkljf sdklöjfsk
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
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:08 Mar 2018 18:44

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