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Related papers: Nonlinear State Estimation for Inertial Navigation…

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In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain nonlinear systems. In particular, the neural observer designed…

Optimization and Control · Mathematics 2023-01-18 Song Chen , Shengze Cai , Tehuan Chen , Chao Xu , Jian Chu

Traditional visual-inertial state estimation targets absolute camera poses and spatial landmark locations while first-order kinematics are typically resolved as an implicitly estimated sub-state. However, this poses a risk in velocity-based…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Wanting Xu , Xin Peng , Laurent Kneip

Velocity estimation is a core component of state estimation and sensor fusion pipelines in mobile robotics and autonomous ground systems, directly affecting navigation accuracy, control stability, and operational safety. In conventional…

Machine Learning · Computer Science 2025-12-30 Barak Or

This work aims to present a three-dimensional vehicle dynamics state estimation under varying signal quality. Few researchers have investigated the impact of three-dimensional road geometries on the state estimation and, thus, neglect road…

Robotics · Computer Science 2025-01-30 Sven Goblirsch , Marcel Weinmann , Johannes Betz

A global navigation satellite system (GNSS) is a sensor that can acquire 3D position and velocity in an earth-fixed coordinate system and is widely used for outdoor position estimation of robots and vehicles. Various GNSS/inertial…

Robotics · Computer Science 2023-12-22 Taro Suzuki

In the context of autonomous airships, several works in control and guidance use wind velocity to design a control law. However, in general, this information is not directly measured in robotic airships. This paper presents three…

Systems and Control · Electrical Eng. & Systems 2020-03-11 Apolo Silva Marton , André Ricardo Fioravanti , José Raul Azinheira , Ely Carneiro de Paiva

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

Estimation of rigid body attitude motion is a long-standing problem of interest in several applications. This problem is challenging primarily because rigid body motion is described by nonlinear dynamics and the state space is nonlinear.…

Optimization and Control · Mathematics 2016-03-16 Maziar Izadi , Sasi Prabhakaran Viswanathan , Amit Kumar Sanyal , Carlos Silvestre , Paulo Oliveira

We propose an attitude and gyro-bias estimation scheme for accelerated rigid body systems using an inertial measurement unit (IMU) and a global positioning system (GPS). The proposed scheme allows to obtain attitude estimates directly on…

Optimization and Control · Mathematics 2017-03-17 Soulaimane Berkane , Abdelhamid Tayebi

In this paper, a novel method for vision-aided navigation based on trifocal tensor is presented. The main goal of the proposed method is to provide position estimation in GPS-denied environments for vehicles equipped with a standard…

Robotics · Computer Science 2016-11-14 Qiang Fang

Rigid body systems usually consider measurements of the pose of the body using onboard cameras/LiDAR systems, that of linear acceleration using an accelerometer and of angular velocity using an IMU. However, the measurements of the linear…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Soham Shanbhag , Dong Eui Chang

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

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

Accurate state estimation for flexible robotic systems poses significant challenges, particularly for platforms with dynamically deforming structures that invalidate rigid-body assumptions. This paper addresses this problem and enables the…

Robotics · Computer Science 2026-04-29 Jiaxin Liu , Min Li , Wanting Xu , Liang Li , Jiaqi Yang , Laurent Kneip

A nonlinear observer on the Special Euclidean group $\mathrm{SE(3)}$ for full pose estimation, that takes the system outputs on the real projective space directly as inputs, is proposed. The observer derivation is based on a recent advanced…

Optimization and Control · Mathematics 2015-09-11 Minh-Duc Hua , Tarek Hamel , Robert Mahony , Jochen Trumpf

Attitude estimation using scalar measurements, corresponding to partial vectorial observations, arises naturally when inertial vectors are not fully observed but only measured along specific body-frame vectors. Such measurements arise in…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Alessandro Melis , Soulaimane Berkane , Tarek Hamel

A mathematical model featuring the motion of a multilink wheeled vehicle is developed using a nonholonomic model. A detailed analysis of the inertial motion is made. Fixed points of the reduced system are identified, their stability is…

Dynamical Systems · Mathematics 2024-11-22 Elizaveta Artemova , Ivan Bizyaev

This paper addresses the synthesis of interval observers for partially unknown nonlinear systems subject to bounded noise, aiming to simultaneously estimate system states and learn a model of the unknown dynamics. Our approach leverages…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Mohammad Khajenejad , Zeyuan Jin

This paper studies the reduced-order or full-order, dead-beat observer problem for a class of nonlinear systems, linear in the unmeasured states. A novel hybrid observer design strategy is proposed, with the help of the notion of strong…

Optimization and Control · Mathematics 2010-05-31 Iasson Karafyllis , Zhong-Ping Jiang

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
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