Consensus Algorithm for Swarm Robotics Cooperative Control

Abstract

A critical problem for swarm robotics cooperative control is to determine appropriate consensus algorithms so that a group of robots can reach consensus on the values of coordination data. In this paper, we defined the Information Interactive Graph ( IIG ) and the Information Interactive Matrix ( IIM ) to represent the information interaction relationship between each robot based on algebra graph theroy. Proofed the necessary and/or sufficient conditions for consensus and presented some consensus algorithms under static topology. Finally, simulation results showed that our algorithm can make a swarm of robots reach a consensus on the shared coordination data.