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Successful navigation of a rigid-body traveling with six degrees of freedom (6 DoF) requires accurate estimation of attitude , position, and linear velocity. The true navigation dynamics are highly nonlinear and are modeled on the matrix…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Hashim A Hashim

Navigation in Global Positioning Systems (GPS)-denied environments requires robust estimators reliant on fusion of inertial sensors able to estimate rigid-body's orientation, position, and linear velocity. Ultra-wideband (UWB) and Inertial…

Systems and Control · Electrical Eng. & Systems 2023-08-17 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy , Kyriakos G. Vamvoudakis , Mohammed I. Abouheaf

This paper proposes a nonlinear stochastic complementary filter design for inertial navigation that takes advantage of a fusion of Ultra-wideband (UWB) and Inertial Measurement Unit (IMU) technology ensuring semi-global uniform ultimate…

Systems and Control · Electrical Eng. & Systems 2023-08-28 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy , Kyriakos G. Vamvoudakis

The task of indoor positioning is fundamental to several applications, including navigation, healthcare, location-based services, and security. An emerging field is inertial navigation for pedestrians, which relies only on inertial sensors…

Robotics · Computer Science 2025-01-28 Itzik Klein

We propose Lie group embedded dynamical neural networks (LieEDNN) and the corresponding learning algorithms based on gradient descent and metric projection on smooth manifold, where we treat Lie group as an intrinsic representation for…

Machine Learning · Computer Science 2026-05-27 Tianwei Wang , Bryan Chen , Qian Zuo , Qiyue Xia , Xin Li , Wei Pang

The roto-translation group SE2 has been of active interest in image analysis due to methods that lift the image data to multi-orientation representations defined on this Lie group. This has led to impactful applications of…

Computer Vision and Pattern Recognition · Computer Science 2024-11-14 Daan Bon , Gautam Pai , Gijs Bellaard , Olga Mula , Remco Duits

This paper provides a new observer design methodology for invariant systems whose state evolves on a Lie group with outputs in a collection of related homogeneous spaces and where the measurement of system input is corrupted by an unknown…

Systems and Control · Computer Science 2015-07-15 Alireza Khosravian , Jochen Trumpf , Robert Mahony , Christian Lageman

An Inertial Navigation System (INS) is a system that integrates acceleration and angular velocity readings from an Inertial Measurement Unit (IMU), along with other sensors such as Global Navigation Satellite Systems (GNSS) position, GNSS…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Pieter van Goor , Tarek Hamel , Robert Mahony

Mechanical control systems such as aerial, marine, space, and terrestrial robots often naturally admit a state-space that has the structure of a Lie group. The kinetic energy of such systems is commonly invariant to the induced action by…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Matthew Hampsey , Pieter van Goor , Ravi Banavar , Robert Mahony

This work introduces a single-range-aided navigation observer that reconstructs the full state of a rigid body using only an Inertial Measurement Unit (IMU), a body-frame vector measurement (e.g., magnetometer), and a distance measurement…

Robotics · Computer Science 2025-12-10 Oussama Sifour , Soulaimane Berkane , Abdelhamid Tayebi

This paper proposes a novel data-driven approach for inertial navigation, which learns to estimate trajectories of natural human motions just from an inertial measurement unit (IMU) in every smartphone. The key observation is that human…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Hang Yan , Qi Shan , Yasutaka Furukawa

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

Inertial-aided systems require continuous motion excitation among other reasons to characterize the measurement biases that will enable accurate integration required for localization frameworks. This paper proposes the use of informative…

Robotics · Computer Science 2022-09-13 Mitchell Usayiwevu , Fouad Sukkar , Chanyeol Yoo , Robert Fitch , Teresa Vidal-Calleja

In this paper, we perform a thorough observability analysis for linearized inertial navigation systems (INS) aided by exteroceptive range and/or bearing sensors (such as cameras, LiDAR and sonars) with different geometric features (points,…

Optimization and Control · Mathematics 2018-05-16 Yulin Yang , Guoquan Huang

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

The inertial navigation system (INS) has been widely used to provide self-contained and continuous motion estimation in intelligent transportation systems. Recently, the emergence of chip-level inertial sensors has expanded the relevant…

Signal Processing · Electrical Eng. & Systems 2020-07-15 You Li , Ruizhi Chen , Xiaoji Niu , Yuan Zhuang , Zhouzheng Gao , Xin Hu , Naser El-Sheimy

The interest in mobile platforms across a variety of applications has increased significantly in recent years. One of the reasons is the ability to achieve accurate navigation by using low-cost sensors. To this end, inertial sensors are…

Robotics · Computer Science 2024-12-05 Dror Hurwitz , Nadav Cohen , Itzik Klein

The defects of the traditional strapdown inertial navigation algorithms become well acknowledged and the corresponding enhanced algorithms have been quite recently proposed trying to mitigate both theoretical and algorithmic defects. In…

Robotics · Computer Science 2024-03-21 Hongyan Jiang , Maoran Zhu , Yuanxin Wu

This paper proposes a unified mathematical framework for inertial measurement unit (IMU) preintegration in inertial-aided navigation system in different frames under different motion condition. The navigation state is precisely discretized…

Robotics · Computer Science 2022-08-16 Yarong Luo , Yang Liu , Chi Guo , Jingnan Liu

Consider an assistive system that guides visually impaired users through speech and haptic feedback to their destination. Existing robotic and ubiquitous navigation technologies (e.g., portable, ground, or wearable systems) often operate in…

Machine Learning · Computer Science 2018-10-09 Eshed Ohn-Bar , Kris Kitani , Chieko Asakawa