UAV coordination on convex curves in wind: An environmental sampling application

This paper is concerned with synchronization of UAVs, modeled as particles, moving along convex curves in the plane, in the presence of a steady wind. The method presented here integrates previous results on synchronization along convex loops, in still air, and synchronization on circles in an external flow field. The method is applied to a control-volume sampling problem, in which UAVs travel along a closed, convex curve in ambient winds in order to sample the air along a surface that bounds the control-volume. The periodic flight pattern of the UAVs is divided into a semi-circular sampling path and a near-minimum-time re-initialization path. To ensure consistent measurements, the vehicles coordinate their motion to arrive at the beginning of the sampling arcs simultaneously.

[1]  Derek A. Paley,et al.  Stabilization of Collective Motion in a Time-Invariant Flowfield , 2009 .

[2]  Aline C. Van den Kroonenberg,et al.  First wind measurements with the Meteorological UAV 'M2AV Carolo' , 2008 .

[3]  F. White Viscous Fluid Flow , 1974 .

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

[5]  Naomi Ehrich Leonard,et al.  Stabilization of symmetric formations to motion around convex loops , 2008, Syst. Control. Lett..

[6]  David G. Schmale,et al.  Path planning for efficient UAV coordination in aerobiological sampling missions , 2008, 2008 47th IEEE Conference on Decision and Control.

[7]  Naomi Ehrich Leonard,et al.  Control of coordinated patterns for ocean sampling , 2007, Int. J. Control.

[8]  David G. Schmale,et al.  Development and application of an autonomous unmanned aerial vehicle for precise aerobiological sampling above agricultural fields , 2008, J. Field Robotics.

[9]  Naomi Ehrich Leonard,et al.  Stabilization of Planar Collective Motion With Limited Communication , 2008, IEEE Transactions on Automatic Control.

[10]  Naomi Ehrich Leonard,et al.  Stabilization of Planar Collective Motion: All-to-All Communication , 2007, IEEE Transactions on Automatic Control.

[11]  Derek A. Paley,et al.  Cooperative control of an autonomous sampling network in an external flow field , 2008, 2008 47th IEEE Conference on Decision and Control.

[12]  J. Karl Hedrick,et al.  Optimal path planning in a constant wind with a bounded turning rate , 2005 .

[13]  R. Sepulchre,et al.  Oscillator Models and Collective Motion , 2007, IEEE Control Systems.

[14]  James G Bellingham,et al.  Robotics in Remote and Hostile Environments , 2007, Science.