arXiv:2411.08634eess.SYcs.MA2024-11

用模型预测控制解决带权重的覆盖路径规划问题,提升搜救效率。

On the Application of Model Predictive Control to a Weighted Coverage Path Planning Problem

  • 采用带覆盖约束的模型预测控制新方法
  • 初始化为TSP启发式后性能显著提升
  • 适合连续空间下的智能体路径规划任务

本文研究将模型预测控制(MPC)应用于加权覆盖路径规划(WCPP)问题。该问题广泛存在于搜救(SAR)等实际场景中:一个或多个智能体在给定搜索空间内移动,并从空间分布的奖励点获取收益。与人工势场不同,每个奖励点只能被收集一次;与旅行商问题(TSP)不同,智能体在连续空间中移动,且无需覆盖所有位置或可返回已访问区域。本文提出一种新的带覆盖约束(CCs)的MPC公式,实验表明,若使用基于TSP的启发式进行初始化,求解效果更优。在小规模仿真中,该方法明显优于基础的MPC方案。

原文摘要 · Abstract (English)

This paper considers the application of Model Predictive Control (MPC) to a weighted coverage path planning (WCPP) problem. The problem appears in a wide range of practical applications, including search and rescue (SAR) missions. The basic setup is that one (or multiple) agents can move around a given search space and collect rewards from a given spatial distribution. Unlike an artificial potential field, each reward can only be collected once. In contrast to a Traveling Salesman Problem (TSP), the agent moves in a continuous space. Moreover, he is not obliged to cover all locations and/or may return to previously visited locations. The WCPP problem is tackled by a new Model Predictive Control (MPC) formulation with so-called Coverage Constraints (CCs). It is shown that the solution becomes more effective if the solver is initialized with a TSP-based heuristic. With and without this initialization, the proposed MPC approach clearly outperforms a naive MPC formulation, as demonstrated in a small simulation study.

路径规划模型预测控制智能体系统

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