Collision-free trajectory tracking while preserving connectivity in unicycle multi-agent systems

Gökhan M. Atınç, Dušan M. Stipanović, Petros G. Voulgaris, Mansour A. Karkoub · 2013

In this paper we address a multi-objective control problem for a group of kinematic unicycle agents. Namely, we consider three objectives; trajectory tracking, collision avoidance, and connectivity maintenance. By integrating the gradients of the avoidance and connectivity functions into the desired orientations of agents, using Lyapunov-type analysis, we prove that agents track reference trajectories with bounded errors, while avoiding collisions and maintaining connectivity.

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