Sartoretti, Guillaume Adrien
Hongler, Max-Olivier
Elias de Oliveira, Marcelo
Mondada, Francesco
Decentralized Self-Selection of Swarm Trajectories: From Dynamical Systems to Robotic Implementation
Swarm Intelligence
Swarm Intelligence
Swarm Intelligence
Swarm Intelligence
23
8
4
spatio-temporal pattern
distributed swarm control
Brownian agents
mixed canonical-dissipative dynamics
mean-field approach
Braitenberg control mechanism
robotics experimental validation
2014
2014
In this paper, we present a distributed control strategy, enabling agents to converge onto and travel along a consensually selected curve among a class of closed planar curves. Individual agents identify the number of neighbors within a finite circular sensing range and obtain information from their neighbors through local communication. The information is then processed to update the control parameters and force the swarm to converge onto and circulate along the aforementioned planar curve. The proposed mathematical framework is based on stochastic differential equations driven by white Gaussian noise (diffusion processes). Using this framework, there is maximum probability that the swarm dynamics will be driven toward the consensual closed planar curve. In the simplest configuration where a circular consensual curve is obtained, we are able to derive an analytical expression that relates the radius of the circular formation to the agentâ€™s interaction range. Such an intimate relation is also illustrated numerically for more general curves. The agent-based control strategy is then translated into a distributed Braitenberg-inspired one. The proposed robotic control strategy is then validated by numerical simulations and by implementation on an actual robotic swarm. It can be used in applications that involve large numbers of locally interacting agents, such as traffic control, deployment of communication networks in hostile environments, or environmental monitoring.
Springer Verlag
1935-3812
Swarm Intelligence
Journal Articles
10.1007/s11721-014-0101-7