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Cooperative Control with Adaptive Graph Laplacians for Spacecraft Formation Flying

Chang, Insu and Chung, Soon-Jo and Blackmore, Lars (2010) Cooperative Control with Adaptive Graph Laplacians for Spacecraft Formation Flying. In: 49th IEEE Conference on Decision and Control (CDC). IEEE , Piscataway, NJ, pp. 4926-4933. ISBN 978-1-4244-7746-3.

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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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Chung, Soon-Jo0000-0002-6657-3907
Additional Information:© 2010 IEEE. Date Added to IEEE Xplore: 22 February 2011. Part of this research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration.
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Record Number:CaltechAUTHORS:20161201-084722017
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Official Citation:I. Chang, S. J. Chung and L. Blackmore, "Cooperative control with adaptive graph Laplacians for spacecraft formation flying," 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA, 2010, pp. 4926-4933. doi: 10.1109/CDC.2010.5717516
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72490
Deposited By: Ruth Sustaita
Deposited On:01 Dec 2016 19:31
Last Modified:03 Oct 2019 16:18

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