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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,…

Accurate disturbance estimation is crucial for reliable robotic physical interaction. To estimate environmental interference in a low-cost and sensorless way (without force sensor), a variety of tightly-coupled visual inertial external…

Robotics · Computer Science 2024-08-30 Junlin Song , Antoine Richard , Miguel Olivares-Mendez

Estimation of rigid body attitude motion is a long-standing problem of interest in several applications. This problem is challenging primarily because rigid body motion is described by nonlinear dynamics and the state space is nonlinear.…

Optimization and Control · Mathematics 2016-03-16 Maziar Izadi , Sasi Prabhakaran Viswanathan , Amit Kumar Sanyal , Carlos Silvestre , Paulo Oliveira

This paper presents a novel approach to vehicle positioning that operates without reliance on the global navigation satellite system (GNSS). Traditional GNSS approaches are vulnerable to interference in certain environments, rendering them…

Robotics · Computer Science 2024-10-28 Barak Or , Nimrod Segol , Areej Eweida , Maxim Freydin

Building a complete inertial navigation system using the limited quality data provided by current smartphones has been regarded challenging, if not impossible. This paper shows that by careful crafting and accounting for the weak…

Computer Vision and Pattern Recognition · Computer Science 2018-06-11 Arno Solin , Santiago Cortes , Esa Rahtu , Juho Kannala

We present a method of extrinsic calibration for a system of multiple inertial measurement units (IMUs) that estimates the relative pose of each IMU on a rigid body using only measurements from the IMUs themselves, without the need to…

Robotics · Computer Science 2022-05-31 Jongwon Lee , David Hanley , Timothy Bretl

Inertial navigation computation is to acquire the attitude, velocity and position information of a moving body by integrating inertial measurements from gyroscopes and accelerometers. Over half a century has witnessed great efforts in…

Robotics · Computer Science 2021-09-21 Yuanxin Wu

In all applications in digital communications, it is crucial for an estimator to be unbiased. Although so-called soft feedback is widely employed in many different fields of engineering, typically the biased estimate is used. In this paper,…

Information Theory · Computer Science 2018-02-21 Susanne Sparrer , Robert F. H. Fischer

Modern sensors play a pivotal role in many operating platforms, as they manage to track the platform dynamics at a relatively low manufacturing costs. Their widespread use can be found starting from autonomous vehicles, through tactical…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Daniel Engelsman , Itzik Klein

External effects such as shocks and temperature variations affect the calibration of visual-inertial sensor systems and thus they cannot fully rely on factory calibrations. Re-calibrations performed on short user-collected datasets might…

Robotics · Computer Science 2019-01-23 Thomas Schneider , Mingyang Li , Cesar Cadena , Juan Nieto , Roland Siegwart

This paper proposes new algorithms for attitude estimation and control based on fused inertial vector measurements using linear complementary filters principle. First, n-order direct and passive complementary filters combined with TRIAD…

Optimization and Control · Mathematics 2015-03-11 L. Benziane , A. El Hadri , A. Seba , A. Benallegue , Y. Chitour

This work presents a technique to estimate on-line the inertia of a power system based on ambient measurements. The proposed technique utilizes the covariance matrix of these measurements and solves an optimization problem that fits such…

Systems and Control · Electrical Eng. & Systems 2023-01-18 Federico Bizzarri , Davide del Giudice , Samuele Grillo , Daniele Linaro , Angelo Brambilla , Federico Milano

The aim of this work is to develop a model-based methodology for monitoring lateral track irregularities based on the use of inertial sensors mounted on an in-service train. To this end, a gyroscope is used to measure the wheelset yaw…

Computational Engineering, Finance, and Science · Computer Science 2020-03-12 S. Munoz , J. Ros , J. L. Escalona

This paper revisits the problem of orientation estimation for rigid bodies through a novel framework based on scalar measurements. Unlike traditional vector-based methods, the proposed approach enables selective utilization of only the…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Hassan Alnahhal , Sifeddine Benahmed , Soulaimane Berkane , Tarel Hamel

This paper developed an efficient method for calibrating triaxial MEMS gyroscopes, which can be effectively utilized in the field environment. The core strategy is to utilize the criterion that the dot product of the measured gravity and…

Robotics · Computer Science 2024-10-28 Yaqi Li , Li Wang , Zhitao Wang , Xiangqing Li , Steven W. Su

The common approach to inertial sensor calibration for navigation purposes has been to model the stochastic error signals of individual sensors independently, whether as components of a single inertial measurement unit (IMU) in different…

Methodology · Statistics 2019-10-02 Haotian Xu , Stéphane Guerrier , Roberto Molinari , Mucyo Karemera

Tilt-horizontal coupling in inertial sensors limits the performance of active isolation systems such as those used in gravitational wave detectors. Inertial rotation sensors can be used to subtract the tilt component from the signal…

Instrumentation and Detectors · Physics 2016-06-29 F. Matichard , M. Evans , R. Mittleman , M. McInnis , S. Biscans , K. L. Dooley , H. Sohier , A. Lauriero , H. Paris , J. Koch , P. Knothe , A. Carbajo , C. Dufort

This paper presents a novel filter with low computational demand to address the problem of orientation estimation of a robotic platform. This is conventionally addressed by extended Kalman filtering of measurements from a sensor suit which…

Robotics · Computer Science 2016-12-02 Oscar De Silva , George K. I. Mann , Raymond G. Gosine

We present a simulation-based inference approach for two-stage estimators, focusing on extremum estimators in the second stage. We accommodate a broad range of first-stage estimators, including extremum estimators, high-dimensional…

Econometrics · Economics 2024-11-08 Aristide Houndetoungan , Abdoul Haki Maoude

Many methods exist for a bipedal robot to keep its balance while walking. In addition to step size and timing, other strategies are possible that influence the stability of the robot without interfering with the target direction and speed…

Robotics · Computer Science 2018-10-15 Philipp Allgeuer , Sven Behnke