Ergodic exploration of dynamic distribution

Fuente: arXiv
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Autores principales: Lanča, Luka, Jakac, Karlo, Calinon, Sylvain, Ivić, Stefan
Formato: Preprint
Publicado: 2025
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author Lanča, Luka
Jakac, Karlo
Calinon, Sylvain
Ivić, Stefan
author_facet Lanča, Luka
Jakac, Karlo
Calinon, Sylvain
Ivić, Stefan
contents This research addresses the challenge of performing search missions in dynamic environments, particularly for drifting targets whose movement is dictated by a flow field. This is accomplished through a dynamical system that integrates two partial differential equations: one governing the dynamics and uncertainty of the probability distribution, and the other regulating the potential field for ergodic multi-agent search. The target probability field evolves in response to the target dynamics imposed by the environment and accomplished sensing efforts, while being explored by multiple robot agents guided by the potential field gradient. The proposed methodology was tested on two simulated search scenarios, one of which features a synthetically generated domain and showcases better performance when compared to the baseline method with static target probability over a range of agent to flow field velocity ratios. The second search scenario represents a realistic sea search and rescue mission where the search start is delayed, the search is performed in multiple robot flight missions, and the procedure for target drift uncertainty compensation is demonstrated. Furthermore, the proposed method provides an accurate survey completion metric, based on the known detection/sensing parameters, that correlates with the actual number of targets found independently.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11235
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ergodic exploration of dynamic distribution
Lanča, Luka
Jakac, Karlo
Calinon, Sylvain
Ivić, Stefan
Robotics
Dynamical Systems
Optimization and Control
This research addresses the challenge of performing search missions in dynamic environments, particularly for drifting targets whose movement is dictated by a flow field. This is accomplished through a dynamical system that integrates two partial differential equations: one governing the dynamics and uncertainty of the probability distribution, and the other regulating the potential field for ergodic multi-agent search. The target probability field evolves in response to the target dynamics imposed by the environment and accomplished sensing efforts, while being explored by multiple robot agents guided by the potential field gradient. The proposed methodology was tested on two simulated search scenarios, one of which features a synthetically generated domain and showcases better performance when compared to the baseline method with static target probability over a range of agent to flow field velocity ratios. The second search scenario represents a realistic sea search and rescue mission where the search start is delayed, the search is performed in multiple robot flight missions, and the procedure for target drift uncertainty compensation is demonstrated. Furthermore, the proposed method provides an accurate survey completion metric, based on the known detection/sensing parameters, that correlates with the actual number of targets found independently.
title Ergodic exploration of dynamic distribution
topic Robotics
Dynamical Systems
Optimization and Control
url https://arxiv.org/abs/2503.11235