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This paper addresses the problem of Simultaneous Localization and Mapping (SLAM) for rigid body systems in three-dimensional space. We introduce a new matrix Lie group SE_{3+n}(3), whose elements are composed of the pose, gravity, linear…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi

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

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

Extended object tracking considers the simultaneous estimation of the kinematic state and the shape parameters of a moving object based on a varying number of noisy detections. A main challenge in extended object tracking is the…

Systems and Control · Computer Science 2019-09-05 Shishan Yang , Marcus Baum

Magnetometer and inertial sensors are widely used for orientation estimation. Magnetometer usage is often troublesome, as it is prone to be interfered by onboard or ambient magnetic disturbance. The onboard soft-iron material distorts not…

Robotics · Computer Science 2016-12-06 Yuanxin Wu , Danping Zou , Peilin Liu , Wenxian Yu

We present a method to improve the accuracy of a zero-velocity-aided inertial navigation system (INS) by replacing the standard zero-velocity detector with a long short-term memory (LSTM) neural network. While existing threshold-based…

Robotics · Computer Science 2019-08-14 Brandon Wagstaff , Jonathan Kelly

Inertial odometry (IO) using strap-down inertial measurement units (IMUs) is critical in many robotic applications where precise orientation and position tracking are essential. Prior kinematic motion model-based IO methods often use a…

Robotics · Computer Science 2024-05-16 Yuheng Qiu , Chen Wang , Can Xu , Yutian Chen , Xunfei Zhou , Youjie Xia , Sebastian Scherer

This work presents a notion of strong detectability for linear time varying systems affected by unknown inputs. It is shown that this notion is equivalent to detectability of an auxiliary system without unknown inputs. This allows a…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Markus Tranninger , Richard Seeber , Juan G. Rueda-Escobedo , Martin Horn

This paper tackles the problem of estimating the relative position, orientation, and velocity between a UAV and a planar platform undergoing arbitrary 3D motion during approach and landing. The estimation relies on measurements from…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Tarek Bouazza , Alessandro Melis , Soulaimane Berkane , Robert Mahony , Tarek Hamel

Modern smartphones have all the sensing capabilities required for accurate and robust navigation and tracking. In specific environments some data streams may be absent, less reliable, or flat out wrong. In particular, the GNSS signal can…

Computer Vision and Pattern Recognition · Computer Science 2019-06-04 Santiago Cortés Reina , Yuxin Hou , Juho Kannala , Arno Solin

This paper addresses the problem of estimating the position of an object moving in $R^n$ from direction and velocity measurements. After addressing observability issues associated with this problem, a nonlinear observer is designed so as to…

Systems and Control · Computer Science 2015-03-27 Florent Le Bras , Tarek Hamel , Robert Mahony , Claude Samson

Foot-mounted inertial sensors become popular in many indoor or GPS-denied applications, including but not limited to medical monitoring, gait analysis, soldier and first responder positioning. However, the foot-mounted inertial navigation…

Human-Computer Interaction · Computer Science 2021-09-21 Maoran Zhu , Yuanxin Wu , Shitu Luo

In [1], it is established that a convergent observer with an infinite gain margin can be designed for a given nonlinear system when a Riemannian metric showing that the system is differentially detectable (i.e., the Lie derivative of the…

Optimization and Control · Mathematics 2016-06-21 Ricardo G. Sanfelice , Laurent Praly

We propose a multisensor fusion framework for onboard real-time navigation of a quadrotor in an indoor environment, by integrating sensor readings from an Inertial Measurement Unit (IMU), a camera-based object detection algorithm, and an…

The surge of deep-space probes makes it unsustainable to navigate them with standard radiometric tracking. Self-driving interplanetary satellites represent a solution to this problem. In this work, a full vision-based navigation algorithm…

Computer Vision and Pattern Recognition · Computer Science 2024-06-19 Eleonora Andreis , Paolo Panicucci , Francesco Topputo

In this paper we propose a new observer design technique for nonlinear systems. It combines the well-known Kazantzis-Kravaris-Luenberger observer and the recently introduced parameter estimation-based observer, which become special cases of…

Systems and Control · Computer Science 2018-07-12 Bowen Yi , Romeo Ortega , Weidong Zhang

The paper focuses on the problem of vision-based obstacle detection and tracking for unmanned aerial vehicle navigation. A real-time object localization and tracking strategy from monocular image sequences is developed by effectively…

Computer Vision and Pattern Recognition · Computer Science 2017-03-21 Yuanwei Wu , Yao Sui , Guanghui Wang

Inertial odometry is an attractive solution to the problem of state estimation for agile quadrotor flight. It is inexpensive, lightweight, and it is not affected by perceptual degradation. However, only relying on the integration of the…

Robotics · Computer Science 2023-03-01 Giovanni Cioffi , Leonard Bauersfeld , Elia Kaufmann , Davide Scaramuzza

This work highlights the duality between state estimation methods and model predictive control. A predictive controller, observed control, is presented that uses this duality to efficiently compute control actions with linear time-horizon…

Optimization and Control · Mathematics 2025-08-20 Eugene T. Hamzezadeh , Andrew J. Petruska

The Koopman operator approach to the state estimation problem for nonlinear systems is a promising research area. The main goal of this paper is an attempt to provide a rigorous theoretical framework for this approach. In particular, the…

Optimization and Control · Mathematics 2025-03-12 Judicaël Mohet , Alexandre Mauroy , Joseph J. Winkin
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