Stable navigation in formation for a multi-robot system based on a constrained virtual structure

Abstract : This paper deals with the navigation in formation of a group of mobile robots. A set of virtual targets (points) forms a virtual structure of the same shape as the desired formation. Hence, to join and to remain in this formation, each robot has only to track one of these targets. In order to track the chosen target, it has to be attainable by the robot despite its kinematic constraints. This paper studies then the maximum allowed dynamic of the virtual structure according to the kinematic constraints of the robots. Both linear and angular velocities of the targets are constrained. Moreover, depending on these velocities, some relative positions (targets) in the formation become unattainable. These positions are also defined. A stable control law allows to attain the generated set-points. Simulation and experimental results validate the proposed contributions.
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Ahmed Benzerrouk, Lounis Adouane, Philippe Martinet. Stable navigation in formation for a multi-robot system based on a constrained virtual structure. Robotics and Autonomous Systems, Elsevier, 2014, 62 (12), pp.1806 - 1815. 〈10.1016/j.robot.2014.07.004〉. 〈hal-01712946〉

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