Attitude and phase synchronization of formation flying spacecraft: Lagrangian approach

Soon Jo Chung, Umair Ahsun, Jean Jacques E. Slotine

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This article presents a unified synchronization framework with application to precision formation flying spacecraft. Central to the proposed innovation, in applying synchronization to both translational and rotational dynamics in the Lagrangian form, is the use of the distributed stability and performance analysis tool, called contraction analysis that yields exact nonlinear stability proofs. The proposed decentralized tracking control law synchronizes the attitude of an arbitrary number of spacecraft into a common time-varying trajectory with global exponential convergence. Moreover, a decentralized translational tracking control law based on phase synchronization is presented, thus enabling coupled translational and rotational maneuvers. While the translational dynamics can be adequately controlled by linear control laws, the proposed method permits highly nonlinear systems with nonlinearly coupled inertia matrices such as the attitude dynamics of spacecraft whose large and rapid slew maneuvers justify the nonlinear control approach. The proposed method integrates both the trajectory tracking and synchronization problems in a single control framework.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation and Control Conference and Exhibit
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781563479458
StatePublished - 2008

Publication series

NameAIAA Guidance, Navigation and Control Conference and Exhibit

ASJC Scopus subject areas

  • Aerospace Engineering
  • Control and Systems Engineering

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