English

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

Systems and Control 2025-10-02 v2 Multiagent Systems Robotics Systems and Control

Abstract

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.

Keywords

Cite

@article{arxiv.2411.08634,
  title  = {On the Application of Model Predictive Control to a Weighted Coverage Path Planning Problem},
  author = {Kilian Schweppe and Ludmila Moshagen and Georg Schildbach},
  journal= {arXiv preprint arXiv:2411.08634},
  year   = {2025}
}
R2 v1 2026-06-28T19:58:23.146Z