Title
Multi-robot coverage and exploration on Riemannian manifolds with boundaries
Abstract
Multi-robot coverage and exploration are fundamental problems in robotics. A widely used, efficient and distributable algorithm for achieving coverage of a convex environment with Euclidean metrics is that proposed by Cortes which is based on the discrete-time Lloyd's algorithm. This algorithm is not directly applicable to general Riemannian manifolds with boundaries that are non-convex and are intrinsically non-Euclidean. In this paper we generalize the control law based on minimization of the coverage functional to such non-Euclidean spaces punctured by obstacles. We also propose a practical discrete implementation based on standard graph search-based algorithms. We demonstrate the applicability of the proposed algorithm by solving efficient coverage problems on a sphere and a torus with obstacles, and exploration problems in non-convex indoor environments.
Year
DOI
Venue
2014
10.1177/0278364913507324
I. J. Robotic Res.
Keywords
Field
DocType
Distributed robot systems,mobile and distributed robotics SLAM,path planning for multiple mobile robot systems,autonomous agents,cognitive robotics
Cognitive robotics,Mathematical optimization,Regular polygon,Torus,Minification,Artificial intelligence,Euclidean geometry,Robot,Manifold,Mathematics,Robotics
Journal
Volume
Issue
ISSN
33
1
0278-3649
Citations 
PageRank 
References 
24
1.03
12
Authors
3
Name
Order
Citations
PageRank
Subhrajit Bhattacharya146236.93
robert ghrist244632.46
Vijay Kumar37086693.29