Distributed Certifiably Correct Range-Aided SLAM

Fuente: arXiv
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Autores principales: Thoms, Alexander, Papalia, Alan, Velasquez, Jared, Rosen, David M., Narasimhan, Sriram
Formato: Preprint
Publicado: 2025
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author Thoms, Alexander
Papalia, Alan
Velasquez, Jared
Rosen, David M.
Narasimhan, Sriram
author_facet Thoms, Alexander
Papalia, Alan
Velasquez, Jared
Rosen, David M.
Narasimhan, Sriram
contents Reliable simultaneous localization and mapping (SLAM) algorithms are necessary for safety-critical autonomous navigation. In the communication-constrained multi-agent setting, navigation systems increasingly use point-to-point range sensors as they afford measurements with low bandwidth requirements and known data association. The state estimation problem for these systems takes the form of range-aided (RA) SLAM. However, distributed algorithms for solving the RA-SLAM problem lack formal guarantees on the quality of the returned estimate. To this end, we present the first distributed algorithm for RA-SLAM that can efficiently recover certifiably globally optimal solutions. Our algorithm, distributed certifiably correct RA-SLAM (DCORA), achieves this via the Riemannian Staircase method, where computational procedures developed for distributed certifiably correct pose graph optimization are generalized to the RA-SLAM problem. We demonstrate DCORA's efficacy on real-world multi-agent datasets by achieving absolute trajectory errors comparable to those of a state-of-the-art centralized certifiably correct RA-SLAM algorithm. Additionally, we perform a parametric study on the structure of the RA-SLAM problem using synthetic data, revealing how common parameters affect DCORA's performance.
format Preprint
id arxiv_https___arxiv_org_abs_2503_03192
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Distributed Certifiably Correct Range-Aided SLAM
Thoms, Alexander
Papalia, Alan
Velasquez, Jared
Rosen, David M.
Narasimhan, Sriram
Robotics
Reliable simultaneous localization and mapping (SLAM) algorithms are necessary for safety-critical autonomous navigation. In the communication-constrained multi-agent setting, navigation systems increasingly use point-to-point range sensors as they afford measurements with low bandwidth requirements and known data association. The state estimation problem for these systems takes the form of range-aided (RA) SLAM. However, distributed algorithms for solving the RA-SLAM problem lack formal guarantees on the quality of the returned estimate. To this end, we present the first distributed algorithm for RA-SLAM that can efficiently recover certifiably globally optimal solutions. Our algorithm, distributed certifiably correct RA-SLAM (DCORA), achieves this via the Riemannian Staircase method, where computational procedures developed for distributed certifiably correct pose graph optimization are generalized to the RA-SLAM problem. We demonstrate DCORA's efficacy on real-world multi-agent datasets by achieving absolute trajectory errors comparable to those of a state-of-the-art centralized certifiably correct RA-SLAM algorithm. Additionally, we perform a parametric study on the structure of the RA-SLAM problem using synthetic data, revealing how common parameters affect DCORA's performance.
title Distributed Certifiably Correct Range-Aided SLAM
topic Robotics
url https://arxiv.org/abs/2503.03192