Abstract
In this article, we propose an approach to construct a time-varying communication topology with a resilient consensus performance for robot swarms with limited communication ranges. The robots are deployed to explore a large task space and achieve consensus despite the existence of a finite number of noncooperative members in the team. Existing methods encouraged robots to stay close to each other to achieve certain robustness requirements on the connectivity of the communication topology. We leverage on the robots’ mobility to design a time-varying integrated topology composed of several subgroups of robots deployed on nonoverlapping closed-loop paths. Robots are spread out and move along the paths, forming periodic communication links within or across groups. We analyze the time-varying topology synthesized and provide sufficient conditions for individual subgroups and the interconnection between them. We show designs satisfying the conditions with simulated examples in a lattice space, as well as in a task space with predefined paths.
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