Control of coordinated patterns for ocean sampling

A class of underwater vehicles are modelled as Newtonian particles for navigation and control. We show a general method that controls cooperative Newtonian particles to generate patterns on closed smooth curves. These patterns are chosen for good sampling performance using mobile sensor networks. We measure the spacing between neighbouring particles by the relative curve phase along the curve. The distance between a particle and the desired curve is measured using an orbit function. The orbit value and the relative curve phase are then used as feedback to control motion of each particle. From an arbitrary initial configuration, the particles converge asymptotically to form an invariant pattern on the desired curves. We describe application of this method to control underwater gliders in a field experiment in Buzzards Bay, MA in March 2006.

[1]  Naomi Ehrich Leonard,et al.  Generating contour plots using multiple sensor platforms , 2005, Proceedings 2005 IEEE Swarm Intelligence Symposium, 2005. SIS 2005..

[2]  Jiwoong Park,et al.  Tip steering for fast imaging in AFM , 2005, Proceedings of the 2005, American Control Conference, 2005..

[3]  R. Fierro,et al.  Cooperative hybrid control of robotic sensors for perimeter detection and tracking , 2005, Proceedings of the 2005, American Control Conference, 2005..

[4]  David M. Fratantoni,et al.  UNDERWATER GLIDERS FOR OCEAN RESEARCH , 2004 .

[5]  Naomi Ehrich Leonard,et al.  Collective Motion of Self-Propelled Particles: Stabilizing Symmetric Formations on Closed Curves , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[6]  Naomi Ehrich Leonard,et al.  Collective Motion, Sensor Networks, and Ocean Sampling , 2007, Proceedings of the IEEE.

[7]  Sonia Martínez,et al.  Monitoring Environmental Boundaries With a Robotic Sensor Network , 2006, IEEE Transactions on Control Systems Technology.

[8]  C. Samson,et al.  Trajectory tracking for unicycle-type and two-steering-wheels mobile robots , 1993 .

[9]  M. Ani Hsieh,et al.  Pattern generation with multiple robots , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[10]  Fumin Zhang,et al.  Coordinated Orbit Transfer for Satellite Clusters , 2004, Annals of the New York Academy of Sciences.

[11]  N. Leonard,et al.  Coordinated Patterns on Smooth Curves , 2006, 2006 IEEE International Conference on Networking, Sensing and Control.

[12]  Andrea L. Bertozzi,et al.  Determining Environmental Boundaries: Asynchronous Communication and Physical Scales , 2005 .

[13]  E. W. Justh,et al.  A Simple Control Law for UAV Formation Flying , 2002 .

[14]  P. S. Krishnaprasad,et al.  Equilibria and steering laws for planar formations , 2004, Syst. Control. Lett..

[15]  David M. Fratantoni,et al.  Multi-AUV Control and Adaptive Sampling in Monterey Bay , 2006, IEEE Journal of Oceanic Engineering.

[16]  Eric W. Justh,et al.  Boundary following using gyroscopic control , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[17]  William M. Spears,et al.  Swarms for chemical plume tracing , 2005, Proceedings 2005 IEEE Swarm Intelligence Symposium, 2005. SIS 2005..