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Main Authors: Somisetty, Praneeth, Griffin, Robert, Baez, Victor M., Arevalo-Castiblanco, Miguel F., Becker, Aaron T., O'Kane, Jason M.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.19712
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author Somisetty, Praneeth
Griffin, Robert
Baez, Victor M.
Arevalo-Castiblanco, Miguel F.
Becker, Aaron T.
O'Kane, Jason M.
author_facet Somisetty, Praneeth
Griffin, Robert
Baez, Victor M.
Arevalo-Castiblanco, Miguel F.
Becker, Aaron T.
O'Kane, Jason M.
contents External factors, including urban canyons and adversarial interference, can lead to Global Positioning System (GPS) inaccuracies that vary as a function of the position in the environment. This study addresses the challenge of estimating a static, spatially-varying error function using a team of robots. We introduce a State Bias Estimation Algorithm (SBE) whose purpose is to estimate the GPS biases. The central idea is to use sensed estimates of the range and bearing to the other robots in the team to estimate changes in bias across the environment. A set of drones moves in a 2D environment, each sampling data from GPS, range, and bearing sensors. The biases calculated by the SBE at estimated positions are used to train a Gaussian Process Regression (GPR) model. We use a Sparse Gaussian process-based Informative Path Planning (IPP) algorithm that identifies high-value regions of the environment for data collection. The swarm plans paths that maximize information gain in each iteration, further refining their understanding of the environment's positional bias landscape. We evaluated SBE and IPP in simulation and compared the IPP methodology to an open-loop strategy.
format Preprint
id arxiv_https___arxiv_org_abs_2506_19712
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Estimating Spatially-Dependent GPS Errors Using a Swarm of Robots
Somisetty, Praneeth
Griffin, Robert
Baez, Victor M.
Arevalo-Castiblanco, Miguel F.
Becker, Aaron T.
O'Kane, Jason M.
Robotics
Systems and Control
External factors, including urban canyons and adversarial interference, can lead to Global Positioning System (GPS) inaccuracies that vary as a function of the position in the environment. This study addresses the challenge of estimating a static, spatially-varying error function using a team of robots. We introduce a State Bias Estimation Algorithm (SBE) whose purpose is to estimate the GPS biases. The central idea is to use sensed estimates of the range and bearing to the other robots in the team to estimate changes in bias across the environment. A set of drones moves in a 2D environment, each sampling data from GPS, range, and bearing sensors. The biases calculated by the SBE at estimated positions are used to train a Gaussian Process Regression (GPR) model. We use a Sparse Gaussian process-based Informative Path Planning (IPP) algorithm that identifies high-value regions of the environment for data collection. The swarm plans paths that maximize information gain in each iteration, further refining their understanding of the environment's positional bias landscape. We evaluated SBE and IPP in simulation and compared the IPP methodology to an open-loop strategy.
title Estimating Spatially-Dependent GPS Errors Using a Swarm of Robots
topic Robotics
Systems and Control
url https://arxiv.org/abs/2506.19712