Time-Varying Coverage Control: A Distributed Tracker-Planner MPC Framework

Fuente: arXiv
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Autori principali: Eberhard, Patrick Benito, Köhler, Johannes, Hüsser, Oliver, Zeilinger, Melanie N., Carron, Andrea
Natura: Preprint
Pubblicazione: 2025
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author Eberhard, Patrick Benito
Köhler, Johannes
Hüsser, Oliver
Zeilinger, Melanie N.
Carron, Andrea
author_facet Eberhard, Patrick Benito
Köhler, Johannes
Hüsser, Oliver
Zeilinger, Melanie N.
Carron, Andrea
contents Time-varying coverage control addresses the challenge of coordinating multiple agents covering an environment where regions of interest change over time. This problem has broad applications, including the deployment of autonomous taxis and coordination in search and rescue operations. The achievement of effective coverage is complicated by the presence of time-varying density functions, nonlinear agent dynamics, and stringent system and safety constraints. In this paper, we present a distributed multi-agent control framework for time-varying coverage under nonlinear constrained dynamics. Our approach integrates a reference trajectory planner and a tracking model predictive control (MPC) scheme, which operate at different frequencies within a multi-rate framework. For periodic density functions, we demonstrate closed-loop convergence to an optimal configuration of trajectories and provide formal guarantees regarding constraint satisfaction, collision avoidance, and recursive feasibility. Additionally, we propose an efficient algorithm capable of handling nonperiodic density functions, making the approach suitable for practical applications. Finally, we validate our method through hardware experiments using a fleet of four miniature race cars.
format Preprint
id arxiv_https___arxiv_org_abs_2507_01567
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Time-Varying Coverage Control: A Distributed Tracker-Planner MPC Framework
Eberhard, Patrick Benito
Köhler, Johannes
Hüsser, Oliver
Zeilinger, Melanie N.
Carron, Andrea
Systems and Control
Robotics
Time-varying coverage control addresses the challenge of coordinating multiple agents covering an environment where regions of interest change over time. This problem has broad applications, including the deployment of autonomous taxis and coordination in search and rescue operations. The achievement of effective coverage is complicated by the presence of time-varying density functions, nonlinear agent dynamics, and stringent system and safety constraints. In this paper, we present a distributed multi-agent control framework for time-varying coverage under nonlinear constrained dynamics. Our approach integrates a reference trajectory planner and a tracking model predictive control (MPC) scheme, which operate at different frequencies within a multi-rate framework. For periodic density functions, we demonstrate closed-loop convergence to an optimal configuration of trajectories and provide formal guarantees regarding constraint satisfaction, collision avoidance, and recursive feasibility. Additionally, we propose an efficient algorithm capable of handling nonperiodic density functions, making the approach suitable for practical applications. Finally, we validate our method through hardware experiments using a fleet of four miniature race cars.
title Time-Varying Coverage Control: A Distributed Tracker-Planner MPC Framework
topic Systems and Control
Robotics
url https://arxiv.org/abs/2507.01567