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Main Authors: He, Zijian, Teng, Sangli, Lin, Tzu-Yuan, Ghaffari, Maani, Gu, Yan
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.16252
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author He, Zijian
Teng, Sangli
Lin, Tzu-Yuan
Ghaffari, Maani
Gu, Yan
author_facet He, Zijian
Teng, Sangli
Lin, Tzu-Yuan
Ghaffari, Maani
Gu, Yan
contents This paper investigates the robot state estimation problem within a non-inertial environment. The proposed state estimation approach relaxes the common assumption of static ground in the system modeling. The process and measurement models explicitly treat the movement of the non-inertial environments without requiring knowledge of its motion in the inertial frame or relying on GPS or sensing environmental landmarks. Further, the proposed state estimator is formulated as an invariant extended Kalman filter (InEKF) with the deterministic part of its process model obeying the group-affine property, leading to log-linear error dynamics. The observability analysis of the filter confirms that the robot's pose (i.e., position and orientation) and velocity relative to the non-inertial environment are observable. Hardware experiments on a humanoid robot moving on a rotating and translating treadmill demonstrate the high convergence rate and accuracy of the proposed InEKF even under significant treadmill pitch sway, as well as large estimation errors.
format Preprint
id arxiv_https___arxiv_org_abs_2403_16252
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Legged Robot State Estimation within Non-inertial Environments
He, Zijian
Teng, Sangli
Lin, Tzu-Yuan
Ghaffari, Maani
Gu, Yan
Robotics
Systems and Control
This paper investigates the robot state estimation problem within a non-inertial environment. The proposed state estimation approach relaxes the common assumption of static ground in the system modeling. The process and measurement models explicitly treat the movement of the non-inertial environments without requiring knowledge of its motion in the inertial frame or relying on GPS or sensing environmental landmarks. Further, the proposed state estimator is formulated as an invariant extended Kalman filter (InEKF) with the deterministic part of its process model obeying the group-affine property, leading to log-linear error dynamics. The observability analysis of the filter confirms that the robot's pose (i.e., position and orientation) and velocity relative to the non-inertial environment are observable. Hardware experiments on a humanoid robot moving on a rotating and translating treadmill demonstrate the high convergence rate and accuracy of the proposed InEKF even under significant treadmill pitch sway, as well as large estimation errors.
title Legged Robot State Estimation within Non-inertial Environments
topic Robotics
Systems and Control
url https://arxiv.org/abs/2403.16252