A Distributed Framework for Multi-Robot Task Planning with Temporal Logic Specifications

In this paper, we investigate fully-automated controller synthesis of coordination strategies for multi-robot warehouse robotic systems. We consider the scenario where a group of automated guided vehicles (AGVs) deliver goods from starting locations to destinations in a grid-abstracted workspace. We propose a distributed framework with prioritized-based coordination strategy to fulfill the entire planning task. Specifically, the task of each AGV is specified by a Linear Temporal Logic (LTL) specification. The local control strategies are obtained by solving the corresponding LTL reactive synthesis problems. In order to avoid conflicts, we use the prioritized-based coordination strategy to guarantee that the overall systems is safe and live, i.e., AGVs will collide with each other and there is no deadlock and livelock. The proposed design methodology is correct-by-construction with the formal guarantee and is amenable to handle temporal tasks in a flexible manner. Furthermore, the proposed framework is distributed; hence computationally more efficient than the centralized approach. Finally, we demonstrate the proposed distributed framework by simulation examples.