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This paper introduces an advanced Lyapunov stability analysis for an attitude observer that has been developed on the special orthogonal group. In particular, when the attitude observer is constructed based on multiple direction…

Optimization and Control · Mathematics 2019-03-12 Kanishke Gamagedara , Taeyoung Lee , Dong Eui Chang

Accurate knowledge of the state variables in a dynamical system is critical for effective control, diagnosis, and supervision, especially when direct measurements of all states are infeasible. This paper presents a novel approach to…

Dynamical Systems · Mathematics 2025-07-10 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

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 is the last part of four series papers, aiming at stabilization for signal-input-signaloutput (SISO) linear finite-dimensional systems corrupted by general input disturbances. A new observer, referred to as Extended Dynamics Observer…

Systems and Control · Electrical Eng. & Systems 2020-11-13 Hongyinping Feng , Bao-Zhu Guo

Knowledge of how a body is oriented relative to the world is frequently invaluable information in the field of robotics. An attitude estimator that fuses 3-axis gyroscope, accelerometer and magnetometer data into a quaternion orientation…

Robotics · Computer Science 2018-09-28 Philipp Allgeuer , Sven Behnke

This paper investigates the problem of continuous attitude estimation on $SO(3)$ using continuous angular velocity and linear acceleration measurements as well as intermittent linear velocity and inertial vector measurements. First, we…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Miaomiao Wang , Abdelhamid Tayebi

A continuous solution is proposed to the problem of uniform global exponential estimation of the angular velocity for rigid bodies by means of direct attitude measurements. The proposed observer is designed on…

Optimization and Control · Mathematics 2016-11-17 Ioannis Sarras

Rotational displacement about the grasping point is a common grasp failure when an object is grasped at a location away from its center of gravity. Tactile sensors with soft surfaces, such as GelSight sensors, can detect the rotation…

Robotics · Computer Science 2021-08-03 Raj Kolamuri , Zilin Si , Yufan Zhang , Arpit Agarwal , Wenzhen Yuan

It is difficult to choose detection thresholds for tests of non-stationarity that assume {\em a priori} a noise model if the data is statistically uncharacterized to begin with. This is a potentially serious problem when an automated…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Soumya D. Mohanty

The robustness of risk measures to changes in underlying loss distributions (distributional uncertainty) is of crucial importance in making well-informed decisions. In this paper, we quantify, for the class of distortion risk measures with…

Risk Management · Quantitative Finance 2023-03-14 Carole Bernard , Silvana M. Pesenti , Steven Vanduffel

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

Observers are well known in control theory. Originally designed to estimate the hidden states of dynamical systems given some measurements, the observers scope has been recently extended to the estimation of some unknowns, for systems…

Optimization and Control · Mathematics 2014-01-21 Sharefa Asiri , Taous-Meriem Laleg-Kirati , Chadia Zayane-Aissa

In this paper we introduce the randomised stability constant for abstract inverse problems, as a generalisation of the randomised observability constant, which was studied in the context of observability inequalities for the linear wave…

Analysis of PDEs · Mathematics 2020-07-16 Giovanni S. Alberti , Yves Capdeboscq , Yannick Privat

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

A fundamental challenge in robust visual-inertial odometry (VIO) is to dynamically assess the reliability of sensor measurements. This assessment is crucial for properly weighting the contribution of each measurement to the state estimate.…

Robotics · Computer Science 2025-10-03 Seungwon Choi , Donggyu Park , Seo-Yeon Hwang , Tae-Wan Kim

This paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

In this paper, new stability analysis methods are proposed for digital robust motion control systems implemented using a disturbance observer.

Systems and Control · Electrical Eng. & Systems 2025-02-04 Emre Sariyildiz

Dynamical models are often corrupted by model uncertainties, external disturbances, and measurement noise. These factors affect the performance of model-based observers and as a result, affect the closed-loop performance. Therefore, it is…

Systems and Control · Electrical Eng. & Systems 2023-06-14 Yasmine Marani , Ibrahima N'Doye , Taous-Meriem Laleg-Kirati

We consider a setting, where the output of a linear dynamical system (LDS) is, with an unknown but fixed probability, replaced by noise. There, we present a robust method for the prediction of the outputs of the LDS and identification of…

Machine Learning · Computer Science 2018-08-06 Jakub Marecek , Tigran Tchrakian

We present a uniformly globally exponentially stable hybrid angular velocity observer for rigid body systems designed directly on $SO(3)\times\mathbb{R}^3$. The global exponential stability result makes this observer a good candidate for a…

Optimization and Control · Mathematics 2016-12-22 Soulaimane Berkane , Abdelkader Abdessameud , Abdelhamid Tayebi