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Autonomous underwater vehicles (AUVs) are sophisticated robotic platforms crucial for a wide range of applications. The accuracy of AUV navigation systems is critical to their success. Inertial sensors and Doppler velocity logs (DVL) fusion…

Robotics · Computer Science 2025-12-16 Guy Damari , Itzik Klein

The trajectory tracking problem is a fundamental control task in the study of mechanical systems. A key construction in tracking control is the error or difference between an actual and desired trajectory. This construction also lies at the…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Matthew Hampsey , Pieter van Goor , Ravi Banavar , Robert Mahony

Since they were introduced in the 1990s, Lie group integrators have become a method of choice in many application areas. These include multibody dynamics, shape analysis, data science, image registration and biophysical simulations. Two…

Numerical Analysis · Mathematics 2021-10-15 Elena Celledoni , Ergys Çokaj , Andrea Leone , Davide Murari , Brynjulf Owren

Embodied navigation holds significant promise for real-world applications such as last-mile delivery. However, most existing approaches are confined to either indoor or outdoor environments and rely heavily on strong assumptions, such as…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Yuxiang Zhao , Yirong Yang , Yanqing Zhu , Yanfen Shen , Chiyu Wang , Zhining Gu , Pei Shi , Wei Guo , Mu Xu

This article proposes a visual inertial navigation algorithm intended to diminish the horizontal position drift experienced by autonomous fixed wing UAVs (Unmanned Air Vehicles) in the absence of GNSS (Global Navigation Satellite System)…

Robotics · Computer Science 2023-08-17 Eduardo Gallo , Antonio Barrientos

In this paper we propose a (non-linear) smoothing algorithm for group-affine observation systems, a recently introduced class of estimation problems on Lie groups that bear a particular structure. As most non-linear smoothing methods, the…

Robotics · Computer Science 2018-08-07 Paul Chauchat , Axel Barrau , Silvère Bonnabel

The control of free-floating robots requires dealing with several challenges. The motion of such robots evolves on a continuous manifold described by the Special Euclidean Group of dimension 3, known as SE(3). Methods from finite horizon…

Robotics · Computer Science 2023-07-27 Shivesh Kumar , Andreas Mueller , Patrick Wensing , Frank Kirchner

To fuse information from inertial measurement units (IMU) with other sensors one needs an accurate model for IMU error propagation in terms of position, velocity and orientation, a triplet we call extended pose. In this paper we leverage a…

Robotics · Computer Science 2020-05-27 Axel Barrau , Silvere Bonnabel

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

Many navigation problems can be formulated as observer design on linear observed systems with a two-frame group structure, on which an invariant filter can be implemented with guaranteed consistency and stability. It's still unclear how…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Changwu Liu , Yuan Shen

Autonomous underwater vehicles (AUV) are commonly used in many underwater applications. Usually, inertial sensors and Doppler velocity log readings are used in a nonlinear filter to estimate the AUV navigation solution. The process noise…

Robotics · Computer Science 2024-10-28 Barak Or , Itzik Klein

For controller design for systems on manifolds embedded in Euclidean space, it is convenient to utilize a theory that requires a single global coordinate system on the ambient Euclidean space rather than multiple local charts on the…

Optimization and Control · Mathematics 2019-10-15 Dong Eui Chang , Karmvir Singh Phogat , Jongeun Choi

In this paper, we propose a new strategy for learning inertial robotic navigation models. The proposed strategy enhances the generalisability of end-to-end inertial modelling, and is aimed at wheeled robotic deployments. Concretely, the…

Machine Learning · Computer Science 2021-09-21 Mohammed Alloulah , Maximilian Arnold , Anton Isopoussu

Most of the rigid-body systems which evolve on nonlinear Lie groups where Euclidean control designs lose geometric meaning. In this paper, we introduce a log-linear backstepping control law on SE2(3) that preserves full…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Li-Yu Lin , Benjamin Perseghetti , James Goppert

Inertial navigation applications are usually referenced to a rotating frame. Consideration of the navigation reference frame rotation in the inertial navigation algorithm design is an important but so far less seriously treated issue,…

Robotics · Computer Science 2013-04-10 Yuanxin Wu , Xianfei Pan

This paper presents a generalization of conventional sliding mode control designs for systems in Euclidean spaces to fully actuated simple mechanical systems whose configuration space is a Lie group for the trajectory-tracking problem. A…

Optimization and Control · Mathematics 2023-06-01 Eduardo Espindola , Yu Tang

In this article, a tutorial introduction to visual-inertial navigation(VIN) is presented. Visual and inertial perception are two complementary sensing modalities. Cameras and inertial measurement units (IMU) are the corresponding sensors…

Robotics · Computer Science 2023-07-25 Yangyang Ning

As inertial and visual sensors are becoming ubiquitous, visual-inertial navigation systems (VINS) have prevailed in a wide range of applications from mobile augmented reality to aerial navigation to autonomous driving, in part because of…

Robotics · Computer Science 2019-06-07 Guoquan Huang

Floating offshore structures often exhibit low-frequency oscillatory motions in the horizontal plane, with amplitudes in the same order as their characteristic dimensions and larger than the corresponding wave-frequency responses, making…

Fluid Dynamics · Physics 2021-10-07 Yanlin Shao , Zhiping Zheng , Hui Liang , Jikang Chen

This paper deals with the design of globally exponentially stable invariant observers on the Special Euclidian group SE(3). First, we propose a generic hybrid observer scheme (depending on a generic potential function) evolving on…

Optimization and Control · Mathematics 2018-11-14 Miaomiao Wang , Abdelhamid Tayebi