Novel Coordinate Transformation and Robust Cooperative Formation Control for Swarms of Spacecraft
This paper presents a new coordinate transformation method for controlling a large number of spacecraft moving in elliptical orbits. A new coordinate transformation method for phase synchronization of spacecraft in relative elliptical orbits is introduced to effectively maintain desired formation patterns. The proposed controller, which employs both the adaptive graph Laplacian matrix and the distance-based connectivity rule, synchronizes the relative motions of spacecraft with a guaranteed property of robustness. A complex time-varying network topology, constructed by the proposed controller, relaxes the standard requirement of consensus stability, even permitting stabilization on an arbitrary unbalanced graph. A challenging example of reconfiguring swarms of spacecraft shows the reliability of the coordinate transformation method and the effectiveness of the proposed phase synchronization controller.
© 2011 California Institute of Technology. The research was carried out in part at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. Government sponsorship acknowledged. The first author was supported by the University of Illinois at Urbana-Champaign. The authors gratefully acknowledge Dr. Lars Blackmore and Dr. Behcet Acikmese at JPL/NASA and Daniel Morgan at UIUC for their constructive discussion.
Published - chang2011SFFMT.pdf