Pattern generation with multiple robots

摘要

We develop decentralized controllers for a swarm of robots to generate a desired two-dimensional geometric pattern specified by a smooth function while maintaining specified relative distance constraints. The controllers are decentralized in the sense that the robots do not exchange or sense each other's state information. However, we assume that the robots have range sensors allowing them to obtain information about distances to neighbors within a known range. We establish stability and convergence properties of the controllers