Application of Synchronization to Formation Flying Spacecraft: Lagrangian Approach

Details Application of Synchronization to Formation Flying Spacecraft: Lagrangian Approach Application of Synchronization to Formation Flying Spacecraft: Lagrangian Approach

2008-03-03

arxiv.org/abs/0803.0170v3

Journal of Guidance, Control, and Dynamics, Vol. 32, No. 2, March--April 2009, pp. 512-526

Mathematics

Optimization and Control

This paper has been withdrawn by the authors. updated version published. Journal of Guidance, Control, and Dynamics, Vol. 32,

Scientific paper

10.2514/1.37261

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.

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