Optimal control of two-craft electromagnetic formation in circular orbit

Zengwen Xu; Peng Shi; Yushan Zhao

Optimal control of two-craft electromagnetic formation in circular orbit

Zengwen Xu
, Peng Shi
, Yushan Zhao

School of Astronautics

Beihang University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

Optimal reconfigurations of two-craft electromagnetic formation in low earth circular orbit are discussed. Equations of motion for two-spacecraft electromagnetic formation are derived according to the motion of tethered satellite. Three optimality criteria considered are minimum time, minimum acceleration, and minimum control acceleration. Two examples are presented to demonstrate the feasibility with different DOFs. The two-point-boundary-value problem is numerically solved via Gauss pseudo-spectral methods. A general framework of calculating control currents in electromagnetic coils according to the required control forces is presented. Analytical solutions of control currents for the case of two-craft are derived considering energy consumption equilibrium.

Original language	English
Title of host publication	Advances In The Astronautical Sciences
Editors	Donald L. Mackison, Ossama Abdelkhalik, Roby S. Wilson, Renato Zanetti
Publisher	Univelt Inc.
Pages	2547-2561
Number of pages	15
ISBN (Electronic)	9780877036111
State	Published - 2014
Event	24th AAS/AIAA Space Flight Mechanics Meeting, 2014 - Mexico, United States Duration: 26 Jan 2014 → 30 Jan 2014

Publication series

Name	Advances in the Astronautical Sciences
Volume	152
ISSN (Print)	0065-3438

Conference

Conference	24th AAS/AIAA Space Flight Mechanics Meeting, 2014
Country/Territory	United States
City	Mexico
Period	26/01/14 → 30/01/14

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Cite this

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title = "Optimal control of two-craft electromagnetic formation in circular orbit",

abstract = "Optimal reconfigurations of two-craft electromagnetic formation in low earth circular orbit are discussed. Equations of motion for two-spacecraft electromagnetic formation are derived according to the motion of tethered satellite. Three optimality criteria considered are minimum time, minimum acceleration, and minimum control acceleration. Two examples are presented to demonstrate the feasibility with different DOFs. The two-point-boundary-value problem is numerically solved via Gauss pseudo-spectral methods. A general framework of calculating control currents in electromagnetic coils according to the required control forces is presented. Analytical solutions of control currents for the case of two-craft are derived considering energy consumption equilibrium.",

author = "Zengwen Xu and Peng Shi and Yushan Zhao",

year = "2014",

language = "英语",

series = "Advances in the Astronautical Sciences",

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editor = "Mackison, \{Donald L.\} and Ossama Abdelkhalik and Wilson, \{Roby S.\} and Renato Zanetti",

booktitle = "Advances In The Astronautical Sciences",

note = "24th AAS/AIAA Space Flight Mechanics Meeting, 2014 ; Conference date: 26-01-2014 Through 30-01-2014",

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Optimal control of two-craft electromagnetic formation in circular orbit. / Xu, Zengwen; Shi, Peng; Zhao, Yushan.
Advances In The Astronautical Sciences. ed. / Donald L. Mackison; Ossama Abdelkhalik; Roby S. Wilson; Renato Zanetti. Univelt Inc., 2014. p. 2547-2561 (Advances in the Astronautical Sciences; Vol. 152).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Optimal reconfigurations of two-craft electromagnetic formation in low earth circular orbit are discussed. Equations of motion for two-spacecraft electromagnetic formation are derived according to the motion of tethered satellite. Three optimality criteria considered are minimum time, minimum acceleration, and minimum control acceleration. Two examples are presented to demonstrate the feasibility with different DOFs. The two-point-boundary-value problem is numerically solved via Gauss pseudo-spectral methods. A general framework of calculating control currents in electromagnetic coils according to the required control forces is presented. Analytical solutions of control currents for the case of two-craft are derived considering energy consumption equilibrium.

AB - Optimal reconfigurations of two-craft electromagnetic formation in low earth circular orbit are discussed. Equations of motion for two-spacecraft electromagnetic formation are derived according to the motion of tethered satellite. Three optimality criteria considered are minimum time, minimum acceleration, and minimum control acceleration. Two examples are presented to demonstrate the feasibility with different DOFs. The two-point-boundary-value problem is numerically solved via Gauss pseudo-spectral methods. A general framework of calculating control currents in electromagnetic coils according to the required control forces is presented. Analytical solutions of control currents for the case of two-craft are derived considering energy consumption equilibrium.

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Optimal control of two-craft electromagnetic formation in circular orbit

Abstract

Publication series

Conference

UN SDGs

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