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Constant biases associated to measured linear and angular velocities of a moving object can be estimated from measurements of a static scene by embedded brightness and depth sensors. We propose here a Lyapunov-based observer taking…

Optimization and Control · Mathematics 2013-09-10 Nadege Zarrouati-Vissiere , Karine Beauchard , Pierre Rouchon

This paper proposes a novel unit-quaternion observer-based controller for attitude tracking (attitude and angular velocity) with guaranteed transient and steady-state performance. The proposed approach is computationally cheap and can…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Hashim A. Hashim

This paper deals with the problem of full state estimation for vehicles navigating in a three dimensional space. We assume that the vehicle is equipped with an Inertial Measurement Unit (IMU) providing body-frame measurements of the angular…

Optimization and Control · Mathematics 2021-02-01 Soulaimane Berkane , Abdelhamid Tayebi , Simone de Marco

In this paper, two novel algorithms to estimate a Gaussian Vector Autoregressive (VAR) model from 1-bit measurements are introduced. They are based on the Yule-Walker scheme modified to account for quantisation. The scalar case has been…

Methodology · Statistics 2020-08-25 Colin Cros , Pierre-Olivier Amblard , Jonathan H. Manton

A simple approach to gyro and accelerometer bias estimation is proposed. It does not involve Kalman filtering or similar formal techniques. Instead, it is based on physical intuition and exploits a duality between gimbaled and strapdown…

Systems and Control · Computer Science 2013-07-02 Vasiliy M. Tereshkov

A geometric nonlinear observer algorithm for Simultaneous Localization and Mapping (SLAM) developed on the Lie group of \mathbb{SLAM}_{n}\left(3\right) is proposed. The presented novel solution estimates the vehicle's pose (i.e. attitude…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Hashim A. Hashim

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

We consider the problem of distributed attitude estimation of multi-agent systems, evolving on $SO(3)$, relying on individual angular velocity and relative attitude measurements. The interaction graph topology is assumed to be an undirected…

Systems and Control · Electrical Eng. & Systems 2024-05-17 Mouaad Boughellaba , Abdelhamid Tayebi

This paper considers the problem of visual-inertial sensor fusion in the cooperative case and it provides new theoretical contributions, which regard its observability and its resolvability in closed form. The case of two agents is…

Robotics · Computer Science 2018-02-26 Agostino Martinelli

Sensor visibility is crucial for safety-critical applications in automotive, robotics, smart infrastructure and others: In addition to object detection and occupancy mapping, visibility describes where a sensor can potentially measure or is…

Computer Vision and Pattern Recognition · Computer Science 2022-11-14 Joachim Börger , Marc Patrick Zapf , Marat Kopytjuk , Xinrun Li 2 , Claudius Gläser

This paper explores the observability and estimation capability of dynamical systems using predominantly relative measurements of the system's state-space variables, with minimal to no reliance on absolute measurements of these variables.…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Ioannis Raptis

In this paper we consider estimating the system parameters and designing stable observer for unknown noisy linear time-invariant (LTI) systems. We propose a Support Vector Regression (SVR) based estimator to provide adjustable asymmetric…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Xuda Ding , Han Wang , Jianping He , Cailian Chen , Xinping Guan

This paper addresses the problem of simultaneous estimation of the position, linear velocity and orientation of a rigid body using single bearing measurements. We introduce a Riccati observer-based estimator that fuses measurements from a…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Sifeddine Benahmed , Soulaimane Berkane

We develop a new method for multivariate scalar on multidimensional distribution regression. Traditional approaches typically analyze isolated univariate scalar outcomes or consider unidimensional distributional representations as…

Methodology · Statistics 2023-10-17 Rahul Ghosal , Marcos Matabuena

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

A deterministic attitude estimator for a rigid body under an attitude dependent potential is studied. This estimator requires only a single direction measurement to a known reference point at each measurement instant. The measurement cannot…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch , Amit K. Sanyal

Two novel robust nonlinear stochastic full pose (i.e, attitude and position) estimators on the Special Euclidean Group SE(3) are proposed using the available uncertain measurements. The resulting estimators utilize the basic structure of…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Hashim A Hashim , Frank L Lewis

This paper addresses the distributed attitude synchronization problem for a network of rigid-body systems on the special orthogonal group SO(3). Each agent measures, in its body frame, its own angular velocity and a set of vectors whose…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi

We present a novel algorithm for online, real-time orientation estimation. Our algorithm integrates gyroscope data and corrects the resulting orientation estimate for integration drift using accelerometer and magnetometer data. This…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Manon Kok , Thomas B. Schön

This work provides a theoretical analysis for optimally solving the pose estimation problem using total least squares for vector observations from landmark features, which is central to applications involving simultaneous localization and…

Robotics · Computer Science 2022-10-24 Saeed Maleki , Adhiti Raman , Yang Cheng , John Crassidis , Matthias Schmid