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arXiv 2401.13622cs.ROcs.SYeess.SY
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具有避碰功能的协同周期性覆盖

Cooperative Periodic Coverage With Collision Avoidance

Instituto de Investigación en Ingeniería de Aragón (I3A), Universidad de Zaragoza(阿拉贡工程研究所(I3A),萨拉戈萨大学);BSH Home Appliances Group(BSH家用电器集团)

José Manuel Palacios-Gasós, Eduardo Montijano, Carlos Sagüés, Sergio Llorente

AI总结:

针对多智能体持续覆盖兴趣点的 NP 难问题,提出路径规划、二次约束线性规划优化与混合整数线性规划避碰调度的三阶段周期方案,并在真实电磁炉原型上验证。

摘要:

本文提出了一种周期性解决方案,用于解决一组自主移动智能体持续覆盖有限兴趣点集合的问题。这些智能体周期性地访问各点,并花费一定时间执行覆盖任务,我们将其称为覆盖时间。由于该周期性持续覆盖问题是 NP 难的,我们将其拆分为三个子问题以应对其复杂性。首先,我们为智能体规划各自的闭合路径,以覆盖所有点。其次,我们构建了一个二次约束线性规划,用于寻找满足覆盖目标的最优覆盖时间和动作。最后,我们通过获得一个保证避碰的调度,将各智能体的单独计划合并为一个周期性团队计划。为此,我们求解了一个混合整数线性规划,该规划最小化两个或更多智能体同时移动的时间。最终,我们将所提出的解决方案应用于带有移动感应器的电磁炉,以实现家用加热应用,并通过在真实原型上的实验展示其性能。

英文摘要:

In this paper we propose a periodic solution to the problem of persistently covering a finite set of interest points with a group of autonomous mobile agents. These agents visit periodically the points and spend some time carrying out the coverage task, which we call coverage time. Since this periodic persistent coverage problem is NP-hard, we split it into three subproblems to counteract its complexity. In the first place, we plan individual closed paths for the agents to cover all the points. Second, we formulate a quadratically constrained linear program to find the optimal coverage times and actions that satisfy the coverage objective. Finally, we join together the individual plans of the agents in a periodic team plan by obtaining a schedule that guarantees collision avoidance. To this end, we solve a mixed integer linear program that minimizes the time in which two or more agents move at the same time. Eventually, we apply the proposed solution to an induction hob with mobile inductors for a domestic heating application and show its performance with experiments on a real prototype.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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