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Attitude estimation is the process of computing the orientation angles of an object with respect to a fixed frame of reference. Gyroscope, accelerometer, and magnetometer are some of the fundamental sensors used in attitude estimation. The…

Systems and Control · Electrical Eng. & Systems 2021-07-09 Parag Narkhede , Shashi Poddar , Rahee Walambe , George Ghinea , Ketan Kotecha

Attitude estimation using scalar measurements, corresponding to partial vectorial observations, arises naturally when inertial vectors are not fully observed but only measured along specific body-frame vectors. Such measurements arise in…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Alessandro Melis , Soulaimane Berkane , Tarek Hamel

Inertial measurement units are commonly used to estimate the attitude of moving objects. Numerous nonlinear filter approaches have been proposed for solving the inherent sensor fusion problem. However, when a large range of different…

Machine Learning · Computer Science 2021-08-11 Daniel Weber , Clemens Gühmann , Thomas Seel

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

The rigid-body attitude tracking using vector and biased gyro measurements with unknown inertia matrix is studied in this note. First, a gyro-bias observer with global exponential stability is designed. Then, an attitude tracking controller…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Eduardo Espíndola , Yu Tang

This paper conveys attitude and rate estimation without rate sensors by performing a critical comparison, validated by extensive simulations. The two dominant approaches to facilitate attitude estimation are based on stochastic and…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Nikolaos Koumpis , Panagiotis Panagiotou , Ioannis Arvanitakis

This paper presents a novel method for attitude estimation of an object in 3D space by incremental learning of the Long-Short Term Memory (LSTM) network. Gyroscope, accelerometer, and magnetometer are few widely used sensors in attitude…

Signal Processing · Electrical Eng. & Systems 2021-08-09 Parag Narkhede , Rahee Walambe , Shashi Poddar , Ketan Kotecha

Attitude estimation for small, low-cost unmanned aerial vehicles is often achieved using a relatively simple complementary filter that combines onboard accelerometers, gyroscopes, and magnetometer sensing. This paper explores the limits of…

Optimization and Control · Mathematics 2016-02-26 Harris Teague

This paper concerns the problem of attitude determination and estimation. The early applications considered algebraic methods of attitude determination. Attitude determination algorithms were supplanted by the Gaussian attitude estimation…

Systems and Control · Electrical Eng. & Systems 2021-01-22 Hashim A Hashim

This paper proposes a real-time neural network (NN) stochastic filter-based controller on the Lie Group of the Special Orthogonal Group $SO(3)$ as a novel approach to the attitude tracking problem. The introduced solution consists of two…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Hashim A. Hashim , Kyriakos G. Vamvoudakis

Stochastic filters for on-line state estimation are a core technology for autonomous systems. The performance of such filters is one of the key limiting factors to a system's capability. Both asymptotic behavior (e.g.,~for regular…

Nonlinear attitude filters have been recognized to have simpler structure and better tracking performance when compared with Gaussian attitude filters and other methods of attitude determination. A key element of nonlinear attitude filter…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Ajay Singh , Trenton S. Sieb , James H. Howe , Hashim A. Hashim

Ill-posed inverse problems are ubiquitous in applications. Under- standing of algorithms for their solution has been greatly enhanced by a deep understanding of the linear inverse problem. In the applied communities ensemble-based filtering…

Statistics Theory · Mathematics 2015-12-08 Marco A. Iglesias , Kui Lin , Shuai Lu , Andrew M. Stuart

Inertial measurement units are widely used in different fields to estimate the attitude. Many algorithms have been proposed to improve estimation performance. However, most of them still suffer from 1) inaccurate initial estimation, 2)…

Robotics · Computer Science 2021-07-28 Yujie Tang , Liang Hu , Qingrui Zhang , Wei Pan

Inertial-sensor-based attitude estimation is a crucial technology in various applications, from human motion tracking to autonomous aerial and ground vehicles. Application scenarios differ in characteristics of the performed motion,…

Machine Learning · Computer Science 2021-11-29 Daniel Weber , Clemens Gühmann , Thomas Seel

Attitude determination using the smartphone's inertial sensors poses a major challenge due to the sensor low-performance grade and variate nature of the walking pedestrian. In this paper, data-driven techniques are employed to address that…

Signal Processing · Electrical Eng. & Systems 2022-09-13 Eran Vertzberger , Itzik Klein

Inertial-based navigation refers to the navigation methods or systems that have inertial information or sensors as the core part and integrate a spectrum of other kinds of sensors for enhanced performance. Through a series of papers, the…

Robotics · Computer Science 2023-05-18 Maoran Zhu , Yuanxin Wu

This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized…

Optimization and Control · Mathematics 2019-01-24 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

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

Inertial sensors based on micro-electromechanical systems (MEMS) technology, such as accelerometers and angular rate sensors, are cost-effective solutions used in inertial navigation systems in a broad spectrum of applications that estimate…

Robotics · Computer Science 2020-12-09 Hussein Al-Jlailaty , Mohammad M. Mansour
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