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Main Authors: Brändle, Felix, Meister, David, Seidel, Marc, Strässer, Robin, Allgöwer, Frank
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.03681
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author Brändle, Felix
Meister, David
Seidel, Marc
Strässer, Robin
Allgöwer, Frank
author_facet Brändle, Felix
Meister, David
Seidel, Marc
Strässer, Robin
Allgöwer, Frank
contents In this paper, we analyze the orientation estimation problem using inertial measurement units. Many estimation algorithms suffer degraded performance when accelerations other than gravity affect the accelerometer. We show that linear accelerations resulting from rotational accelerations cannot be treated as external disturbance to be attenuated, rather, they change the dynamic behavior of the filter itself. In particular, this results in the introduction of additional zeros in the linearized transfer functions. These zeros lead to nonminimum phase behavior, which is known to be challenging for control. We validate these findings experimentally. Further, we demonstrate that Mahony and Madgwick filters can attenuate the acceleration at the expense of reduced bandwidth. In addition, we show that validation schemes based on precollected data fail to capture these closed-loop effects accurately.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03681
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the effects of angular acceleration in orientation estimation using inertial measurement units
Brändle, Felix
Meister, David
Seidel, Marc
Strässer, Robin
Allgöwer, Frank
Systems and Control
In this paper, we analyze the orientation estimation problem using inertial measurement units. Many estimation algorithms suffer degraded performance when accelerations other than gravity affect the accelerometer. We show that linear accelerations resulting from rotational accelerations cannot be treated as external disturbance to be attenuated, rather, they change the dynamic behavior of the filter itself. In particular, this results in the introduction of additional zeros in the linearized transfer functions. These zeros lead to nonminimum phase behavior, which is known to be challenging for control. We validate these findings experimentally. Further, we demonstrate that Mahony and Madgwick filters can attenuate the acceleration at the expense of reduced bandwidth. In addition, we show that validation schemes based on precollected data fail to capture these closed-loop effects accurately.
title On the effects of angular acceleration in orientation estimation using inertial measurement units
topic Systems and Control
url https://arxiv.org/abs/2502.03681