Cooperative control with adaptive graph laplacians for spacecraft formation flying

Insu Chang; Soon Jo Chung; Lars Blackmore

doi:10.1109/CDC.2010.5717516

Cooperative control with adaptive graph laplacians for spacecraft formation flying

Insu Chang, Soon Jo Chung, Lars Blackmore

Aerospace Engineering

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

Abstract

This paper investigates exact nonlinear dynamics and cooperative control for spacecraft formation flying with Earth oblateness (J₂ perturbation) and atmospheric drag effects. The nonlinear dynamics for chief and deputy motions are derived by using Gauss' variational equation and the Euler-Lagrangian formulation, respectively. The proposed cooperative control employs adaptive time-varying Laplacian gains. The tracking and diffusive coupling gains are adapted by the synchronization/ tracking errors and distance-based connectivity, thereby defining a time-varying network topology. Moreover, the proposed method relaxes the network structure requirement and permits an unbalanced graph. Nonlinear stability is proven by contraction analysis and incremental input-to-state stability. Numerical examples show the effectiveness of the proposed method.

Original language	English (US)
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Pages	4926-4933
Number of pages	8
DOIs	https://doi.org/10.1109/CDC.2010.5717516
State	Published - 2010
Event	2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States Duration: Dec 15 2010 → Dec 17 2010

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Other

Other	2010 49th IEEE Conference on Decision and Control, CDC 2010
Country	United States
City	Atlanta, GA
Period	12/15/10 → 12/17/10

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2010.5717516

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Cooperative control with adaptive graph laplacians for spacecraft formation flying. / Chang, Insu; Chung, Soon Jo; Blackmore, Lars.

2010 49th IEEE Conference on Decision and Control, CDC 2010. 2010. p. 4926-4933 5717516 (Proceedings of the IEEE Conference on Decision and Control).

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

Chang, I, Chung, SJ & Blackmore, L 2010, Cooperative control with adaptive graph laplacians for spacecraft formation flying. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717516, Proceedings of the IEEE Conference on Decision and Control, pp. 4926-4933, 2010 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, GA, United States, 12/15/10. https://doi.org/10.1109/CDC.2010.5717516

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abstract = "This paper investigates exact nonlinear dynamics and cooperative control for spacecraft formation flying with Earth oblateness (J2 perturbation) and atmospheric drag effects. The nonlinear dynamics for chief and deputy motions are derived by using Gauss' variational equation and the Euler-Lagrangian formulation, respectively. The proposed cooperative control employs adaptive time-varying Laplacian gains. The tracking and diffusive coupling gains are adapted by the synchronization/ tracking errors and distance-based connectivity, thereby defining a time-varying network topology. Moreover, the proposed method relaxes the network structure requirement and permits an unbalanced graph. Nonlinear stability is proven by contraction analysis and incremental input-to-state stability. Numerical examples show the effectiveness of the proposed method.",

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doi = "10.1109/CDC.2010.5717516",

language = "English (US)",

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AB - This paper investigates exact nonlinear dynamics and cooperative control for spacecraft formation flying with Earth oblateness (J2 perturbation) and atmospheric drag effects. The nonlinear dynamics for chief and deputy motions are derived by using Gauss' variational equation and the Euler-Lagrangian formulation, respectively. The proposed cooperative control employs adaptive time-varying Laplacian gains. The tracking and diffusive coupling gains are adapted by the synchronization/ tracking errors and distance-based connectivity, thereby defining a time-varying network topology. Moreover, the proposed method relaxes the network structure requirement and permits an unbalanced graph. Nonlinear stability is proven by contraction analysis and incremental input-to-state stability. Numerical examples show the effectiveness of the proposed method.

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Cooperative control with adaptive graph laplacians for spacecraft formation flying

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