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Formation control analyses the convergence of a group of mobile agents to predefined geometric patterns. In traditional approaches, it is assumed that each agent knows the exact position of certain members of the group with respect to a reference frame and the associated control laws are designed according to inter-robot relative positions. Designing a more decentralized scheme, this paper proposes a formation scheme, using Lyapunov techniques, considering that the local controllers of the agents can be equipped with distance and orientation sensors. The main result of the paper applies to certain distance-based potential functions with inter-robot collision avoidance and an arbitrary undirected formation graph. Also, the control law includes an integral-type control that eliminates the effects of the dead-zone of actuators in order to avoid the standard techniques of normalization. The control approach is analyzed for omnidirectional robots with numerical simulations and extended for unicycle-type robots with real-time experiments. [ABSTRACT FROM PUBLISHER]

This paper analyzes the case of marching control, where a leader robot follows a desired trajectory, while the whole group reaches a formation pattern established by a formation graph. To guarantee that the group preserves the desired formation and follows the marching path simultaneously, two approaches are given, based on the feedback of the velocity of the desired trajectory or the velocity of some robots. The main result establishes that for both approaches and any well-defined formation graph, there is convergence to the formation and the marching path. The analysis addresses the cases of omnidirectional robots and the extension to unicycle-type robots. The performance of the control strategies is shown some numerical simulations and real-time experiments. [ABSTRACT FROM AUTHOR]