COOPERATIVE ATTITUDE SYNCHRONIZATION IN SATELLITE SWARMS: A CONSENSUS APPROACH

The present paper considers the problem of autonomous synchronization of attitudes in a swarm of spacecraft. Building upon our recent results on consensus on manifolds, we model the spacecraft as particles on SO(3) and drive these particles to a common point in SO(3). Unlike the Euler angle or quaternion descriptions, this model suffers no singularities nor double-points. Our approach is fully cooperative and autonomous: we use no leader nor external reference. We present two types of control laws, in terms of applied control torques, that globally drive the swarm towards attitude synchronization: one that requires tree-like or all-to-all inter-satellite communication (most efficient) and one that works with nearly arbitrary communication (most robust).

[1]  Colin R. McInnes,et al.  Distributed control of maneuvering vehicles for on-orbit assembly , 1995 .

[2]  N. J. A. Sloane,et al.  Packing Lines, Planes, etc.: Packings in Grassmannian Spaces , 1996, Exp. Math..

[3]  Randal W. Beard,et al.  Synchronized multiple spacecraft rotations , 2002, Autom..

[4]  Maher Moakher,et al.  To appear in: SIAM J. MATRIX ANAL. APPL. MEANS AND AVERAGING IN THE GROUP OF ROTATIONS∗ , 2002 .

[5]  L. Moreau,et al.  Stability of continuous-time distributed consensus algorithms , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[6]  Naomi Ehrich Leonard,et al.  Stabilization of a coordinated network of rotating rigid bodies , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[7]  M. C. VanDyke.  Decentralized Coordinated Attitude Control of a Formation of Spacecraft , 2004 .

[8]  D. Izzo,et al.  EQUILIBRIUM SHAPING: DISTRIBUTED MOTION PLANNING FOR SATELLITE SWARM , 2005 .

[9]  K.Y. Pettersen,et al.  Leader/Follower synchronization of satellite attitude without angular velocity measurements , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[10]  Christopher D. Hall,et al.  Decentralized Coordinated Attitude Control Within a Formation of Spacecraft , 2006 .

[11]  E. Buvat,et al.  Gnc Design for the DARWIN Spaceborne Interferometer , 2006 .

[12]  Jan Tommy Gravdahl,et al.  Coordinated Attitude Control of Satellites in Formation , 2006 .

[13]  Naomi Ehrich Leonard,et al.  Autonomous rigid body attitude synchronization , 2007, 2007 46th IEEE Conference on Decision and Control.

[14]  Alain Sarlette,et al.  Synchronization and balancing on the N-torus , 2007, Syst. Control. Lett..

[15]  Alain Sarlette,et al.  Consensus Optimization on Manifolds , 2008, SIAM J. Control. Optim..

[16]  Francesco Bullo,et al.  Special Issue on Control and Optimization in Cooperative Networks , 2009, SIAM J. Control. Optim..