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Main Authors: Nisticò, Ylenia, Kim, Hajun, Soares, João Carlos Virgolino, Fink, Geoff, Park, Hae-Won, Semini, Claudio
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.20615
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author Nisticò, Ylenia
Kim, Hajun
Soares, João Carlos Virgolino
Fink, Geoff
Park, Hae-Won
Semini, Claudio
author_facet Nisticò, Ylenia
Kim, Hajun
Soares, João Carlos Virgolino
Fink, Geoff
Park, Hae-Won
Semini, Claudio
contents This letter introduces two multi-sensor state estimation frameworks for quadruped robots, built on the Invariant Extended Kalman Filter (InEKF) and Invariant Smoother (IS). The proposed methods, named E-InEKF and E-IS, fuse kinematics, IMU, LiDAR, and GPS data to mitigate position drift, particularly along the z-axis, a common issue in proprioceptive-based approaches. We derived observation models that satisfy group-affine properties to integrate LiDAR odometry and GPS into InEKF and IS. LiDAR odometry is incorporated using Iterative Closest Point (ICP) registration on a parallel thread, preserving the computational efficiency of proprioceptive-based state estimation. We evaluate E-InEKF and E-IS with and without exteroceptive sensors, benchmarking them against LiDAR-based odometry methods in indoor and outdoor experiments using the KAIST HOUND2 robot. Our methods achieve lower Relative Position Errors (RPE) and significantly reduce Absolute Trajectory Error (ATE), with improvements of up to 28% indoors and 40% outdoors compared to LIO-SAM and FAST-LIO2. Additionally, we compare E-InEKF and E-IS in terms of computational efficiency and accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20615
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-Sensor Fusion for Quadruped Robot State Estimation using Invariant Filtering and Smoothing
Nisticò, Ylenia
Kim, Hajun
Soares, João Carlos Virgolino
Fink, Geoff
Park, Hae-Won
Semini, Claudio
Robotics
This letter introduces two multi-sensor state estimation frameworks for quadruped robots, built on the Invariant Extended Kalman Filter (InEKF) and Invariant Smoother (IS). The proposed methods, named E-InEKF and E-IS, fuse kinematics, IMU, LiDAR, and GPS data to mitigate position drift, particularly along the z-axis, a common issue in proprioceptive-based approaches. We derived observation models that satisfy group-affine properties to integrate LiDAR odometry and GPS into InEKF and IS. LiDAR odometry is incorporated using Iterative Closest Point (ICP) registration on a parallel thread, preserving the computational efficiency of proprioceptive-based state estimation. We evaluate E-InEKF and E-IS with and without exteroceptive sensors, benchmarking them against LiDAR-based odometry methods in indoor and outdoor experiments using the KAIST HOUND2 robot. Our methods achieve lower Relative Position Errors (RPE) and significantly reduce Absolute Trajectory Error (ATE), with improvements of up to 28% indoors and 40% outdoors compared to LIO-SAM and FAST-LIO2. Additionally, we compare E-InEKF and E-IS in terms of computational efficiency and accuracy.
title Multi-Sensor Fusion for Quadruped Robot State Estimation using Invariant Filtering and Smoothing
topic Robotics
url https://arxiv.org/abs/2504.20615