Autonomous and Distributed Motion Planning for Satellite Swarm

We present a satellite path-planning technique able to make a set of identical spacecraft acquire a given configuration. The technique exploits a behavior-based approach to achieve an autonomous and distributed control over the relative geometry, making use of limited sensorial information. A desired velocity is defined for each satellite as a sum of different contributions coming from generic high-level behaviors. The behaviors are further defined by an inverse-dynamic calculation dubbed equilibrium shaping. We show that by considering only three different kinds of behavior it is possible to acquire a number of interesting formations, and we describe the theoretical framework needed to find the entire set. We find that by allowing a limited amount of communication the technique may be used also to form complex lattice structures. Several control feedbacks able to track the desired velocities are introduced and discussed. Our results suggest that sliding-mode control is particularly appropriate in connection with the developed technique.

[1]  Randal W. Beard,et al.  Decentralized Scheme for Spacecraft Formation Flying via the Virtual Structure Approach , 2004 .

[2]  Didier Keymeulen,et al.  The fluid dynamics applied to mobile robot motion: the stream field method , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[3]  Frank McQuade Autonomous control for on-orbit assembly using artificial potential functions , 1997 .

[4]  Salvatore Torquato,et al.  Optimized interactions for targeted self-assembly: application to a honeycomb lattice. , 2005, Physical review letters.

[5]  Paolo Pirjanian,et al.  Behavior Coordination Mechanisms - State-of-the-art , 1999 .

[6]  Gregor Schöner,et al.  A dynamical systems approach to task-level system integration used to plan and control autonomous vehicle motion , 1992, Robotics Auton. Syst..

[7]  Randal W. Beard,et al.  A decentralized approach to formation maneuvers , 2003, IEEE Trans. Robotics Autom..

[8]  Randal W. Beard,et al.  A decentralized scheme for spacecraft formation flying via the virtual structure approach , 2003, Proceedings of the 2003 American Control Conference, 2003..

[9]  Keisuke Sato Deadlock-free motion planning using the Laplace potential field , 1992, Adv. Robotics.

[10]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[11]  Veysel Gazi,et al.  Swarm aggregations using artificial potentials and sliding mode control , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[12]  O. Khatib,et al.  Real-Time Obstacle Avoidance for Manipulators and Mobile Robots , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[13]  D. Izzo,et al.  Self Assembly in Space Using Behaviour Based Intelligent Components , 2005 .

[14]  K. Passino,et al.  A class of attractions/repulsion functions for stable swarm aggregations , 2004 .

[15]  Hong Zhang,et al.  Collective Robotics: From Social Insects to Robots , 1993, Adapt. Behav..

[16]  C. McInnes,et al.  Autonomous rendezvous using artificial potential function guidance , 1995 .

[17]  R. Battin An introduction to the mathematics and methods of astrodynamics , 1987 .

[18]  Hsuan Chang A new technique to handle local minimum for imperfect potential field based motion planning , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[19]  William S. Levine,et al.  The Control Handbook , 2005 .

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

[21]  K. Passino,et al.  A class of attraction/repulsion functions for stable swarm aggregations , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[22]  W. H. Clohessy,et al.  Terminal Guidance System for Satellite Rendezvous , 2012 .

[23]  Mark Campbell,et al.  Planning Algorithm for Multiple Satellite Clusters , 2003 .

[24]  Ruzena Bajcsy,et al.  Dynamic robot planning: cooperation through competition , 1997, Proceedings of International Conference on Robotics and Automation.