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This article develops a comprehensive framework for stability analysis of a broad class of commonly used continuous and discrete time-filters for stochastic dynamic systems with non-linear state dynamics and linear measurements under…

Methodology · Statistics 2020-06-11 Toni Karvonen , Silvère Bonnabel , Eric Moulines , Simo Särkkä

A novel approach for robust state estimation of marine vessels in rough water is proposed in this paper to enable tight collaboration between Unmanned Aerial Vehicles (UAVs) and a marine vessel, such as cooperative landing or object…

Robotics · Computer Science 2025-02-19 Filip Novák , Tomáš Báča , Ondřej Procházka , Martin Saska

The task of strapdown inertial navigation system (SINS) initial alignment is to calculate the attitude transformation matrix from body frame to navigation frame. In this paper, such attitude transformation matrix is divided into two parts…

Robotics · Computer Science 2021-10-27 Lubin Chang , Fangjun Qin , Jiangning Xu

We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when the latter is used as a deterministic non-linear observer on Lie groups, for continuous-time systems with discrete observations. One of the main…

Systems and Control · Computer Science 2015-10-20 Axel Barrau , Silvère Bonnabel

This paper presents a manifold based Unscented Kalman Filter that applies a novel strategy for inertial, model-aiding and Acoustic Doppler Current Profiler (ADCP) measurement incorporation. The filter is capable of observing and utilizing…

Robotics · Computer Science 2018-11-28 Sascha Arnold , Lashika Medagoda

This paper presents three non-linear observers on three examples of engineering interest: a chemical reactor, a non-holonomic car, and an inertial navigation system. For each example, the design is based on physical symmetries. This…

Optimization and Control · Mathematics 2016-11-17 S. Bonnabel , Ph. Martin , P. Rouchon

The acquisition of attitude, velocity, and position is an essential task in the field of inertial navigation, achieved by integrating the measurements from inertial sensors. Recently, the ultra-precision inertial navigation computation has…

Systems and Control · Electrical Eng. & Systems 2022-11-18 Hongyan Jiang , Maoran Zhu , Yanyan Fu , Yuanxin Wu

An algorithm for pose and motion estimation using corresponding features in images and a digital terrain map is proposed. Using a Digital Terrain (or Digital Elevation) Map (DTM/DEM) as a global reference enables recovering the absolute…

Computer Vision and Pattern Recognition · Computer Science 2012-11-11 Oleg Kupervasser , Vladimir Voronov

We present a method for estimating ego-velocity in autonomous navigation by integrating high-resolution imaging radar with an inertial measurement unit. The proposed approach addresses the limitations of traditional radar-based ego-motion…

Robotics · Computer Science 2025-06-18 Prashant Kumar Rai , Elham Kowsari , Nataliya Strokina , Reza Ghabcheloo

This paper deals with the error analysis of a novel navigation algorithm that uses as input the sequence of images acquired from a moving camera and a Digital Terrain (or Elevation) Map (DTM/DEM). More specifically, it has been shown that…

Systems and Control · Computer Science 2013-04-29 Oleg Kupervasser , Alexander Rubinstein

Model-free reinforcement learning has recently been shown to successfully learn navigation policies from raw sensor data. In this work, we address the problem of learning driving policies for an autonomous agent in a high-fidelity…

Machine Learning · Computer Science 2019-02-12 Qadeer Khan , Torsten Schön , Patrick Wenzel

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

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

This paper deals with the state estimation of non-linear and non-Gaussian systems with an emphasis on the numerical solution to the Bayesian recursive relations. In particular, this paper builds upon the Lagrangian grid-based filter (GbF)…

Signal Processing · Electrical Eng. & Systems 2026-02-20 Jindřich Duník , Jan Krejčí , Jakub Matoušek , Marek Brandner , Yeongkwon Choe

The kinematics of many nonlinear control systems, especially in the robotics field, admit a transitive Lie-group symmetry, which is useful in high performance observer design. The recently proposed equivariant filter (EqF) exploits…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Yixiao Ge , Pieter van Goor , Robert Mahony

Autonomous underwater vehicles (AUVs) have become indispensable for deep-sea exploration, spanning critical scientific research and commercial applications. The rapid attenuation of electromagnetic waves renders satellite radio signals…

Robotics · Computer Science 2026-05-07 Guy Damari , Zeev Yampolsky , Nadav Cohen , Arup Kumar Sahoo , Jeryes Danial , Felipe O. Silva , Itzik Klein

Fixed-wing unmanned aerial vehicles (UAVs) offer significant performance advantages over rotary-wing UAVs in terms of speed, endurance, and efficiency. However, these vehicles have traditionally been severely limited with regards to…

Robotics · Computer Science 2020-01-31 Max Basescu , Joseph Moore

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 systems (INS) are widely used in almost any operational environment, including aviation, marine, and land vehicles. Inertial measurements from accelerometers and gyroscopes allow the INS to estimate position, velocity,…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Daniel Engelsman , Yair Stolero , Itzik Klein

Inertial Velocity-Aided Attitude (VAA), the estimation of the velocity and attitude of a vehicle using gyroscope, accelerometer, and inertial-frame velocity (e.g. GPS velocity) measurements, is an important problem in the control of…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Pieter van Goor , Tarek Hamel , Robert Mahony
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