An algorithm for two-dimensional rigidity percolation: the pebble game
Journal of Computational Physics
Nonlinear formation control of unicycle-type mobile robots
Robotics and Autonomous Systems
Multi-robot coalition formation
IEEE Transactions on Robotics
Multi-robot deployment and coordination with Embedded Graph Grammars
Autonomous Robots
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Automatic generation of optimally rigid formations using decentralized methods
International Journal of Automation and Computing
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We present graph-based methods for determining if a mobile robot network with a defined sensor and communication range can persistently achieve a specified formation, which implies that the formation, once achieved, will be preserved by the direct maintenance of a subset of inter-agent distances. Here, formations are defined by a set of points whose inter-point distances correspond to desired inter-agent distances. Further, we provide graph operations to describe agent interactions that implement a given formation, as well as an algorithm that, given a persistent formation, automatically generates a sequence of such operations.