Abstract

This article considers the problem of safely coordinating a team of sensor-equipped robots to reduce uncertainty about a dynamical process, where the objective tradeoffs information gain and energy cost. Optimizing this tradeoff is desirable, but leads to a nonmonotone objective function in the set of robot trajectories. Therefore, common multirobot planners based on coordinate descent lose their performance guarantees. Furthermore, methods that handle nonmonotonicity lose their performance guarantees when subject to interrobot collision avoidance constraints. As it is desirable to retain both the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">performance guarantee</i> and <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">safety guarantee</i> , this work proposes a hierarchical approach with a distributed planner that uses local search with a worst-case performance guarantees and a decentralized controller based on control barrier functions that ensures safety and encourages timely arrival at sensing locations. Via extensive simulations, hardware-in-the-loop tests, and hardware experiments, we demonstrate that the proposed approach achieves a better tradeoff between sensing and energy cost than coordinate-descent-based algorithms.

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