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Modeling the rotation of moving objects is a fundamental task in computer vision, yet $SO(3)$ extrapolation still presents numerous challenges: (1) unknown quantities such as the moment of inertia complicate dynamics, (2) the presence of…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Lennart Bastian , Mohammad Rashed , Nassir Navab , Tolga Birdal

This paper proposes a novel unified interval-valued observer synthesis approach for locally Lipschitz nonlinear continuous-time (CT) and discrete-time (DT) systems with nonlinear observations. A key feature of our proposed observer, which…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Mohammad Khajenejad , Fatima Shoaib , Sze Zheng Yong

Traditional observer design methods rely on certain properties of the system's nonlinearity, such as Lipschitz continuity, one-sided Lipschitzness, a bounded Jacobian, or quadratic boundedness. These properties are described by…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Muhammad Umar B. Niazi , Karl H. Johansson

This work analyzes unobservable directions of Vision-aided Inertial Navigation System (VINS) and Lidar-aided Inertial Navigation System (LINS) nonlinear model. Under the assumption that there exist two features observed by the camera…

Systems and Control · Electrical Eng. & Systems 2024-04-12 Xinran Li

This paper describes a novel method for the estimation of the trajectory curve and orientation of a rigid body moving along a railway track. Compared to other recent developments in the literature, the presented approach has the significant…

Computational Engineering, Finance, and Science · Computer Science 2022-03-15 J. González-Carbajal , Pedro Urda , Sergio Muñoz , José L. Escalona

Maintaining consistent uncertainty estimates in localization systems is crucial as the perceived uncertainty commonly affects high-level system components, such as control or decision processes. A method for constructing an…

Robotics · Computer Science 2024-08-20 Chuan Huang , Gustaf Hendeby , Isaac Skog

This paper presents new results concerning the observer design for wide classes of nonlinear systems with both sampled and delayed measurements. By using a small gain approach we provide sufficient conditions, which involve both the delay…

Optimization and Control · Mathematics 2012-07-05 Tarek Ahmed-Ali , Iasson Karafyllis , Francoise Lamnabhi-Lagarrigue

We revisit the gradient based nonlinear attitude complementary filters (observers) on the Special Orthogonal group SO(3) and provide explicit solutions of the norm of the attitude estimation error dynamics. One smooth and two non-smooth…

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

In practical applications, the efficacy of a control algorithm relies critically on the accurate knowledge of the parameters and states of the underlying system. However, obtaining these quantities in practice is often challenging. Adaptive…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Anchita Dey , Soutrik Bandyopadhyay , Shubhendu Bhasin

In this paper, we apply the recently developed generalized parameter estimation-based observer design technique for state-affine systems to the practically important case of linear time-varying descriptor systems with uncertain parameters.…

Systems and Control · Electrical Eng. & Systems 2024-07-22 Romeo Ortega , Alexey Bobtsov , Fernando Castanos , Nikolay Nikolaev

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

Onboard visual sensing has been widely used in the unmanned ground vehicle (UGV) and/or unmanned aerial vehicle (UAV), which can be modeled as dynamic systems on SE(3). The onboard sensing outputs of the dynamic system can usually be…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Tong Zhang , Ying Tan , Xiang Chen , Zike Lei

In this paper we address the problem of state observation for sensorless control of nonlinear magnetic levitation systems, that is, the regulation of the position of a levitated object measuring only the voltage and current of the…

Systems and Control · Computer Science 2017-11-09 Alexey Bobtsov , Anton Pyrkin , Romeo Ortega , Alexey Vedyakov

We study the problem of designing interval-valued observers that simultaneously estimate the system state and learn an unknown dynamic model for partially unknown nonlinear systems with dynamic unknown inputs and bounded noise signals.…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Mohammad Khajenejad , Zeyuan Jin , Sze Zheng Yong

This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized…

Optimization and Control · Mathematics 2019-01-24 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

In this paper, we consider the problem of designing an asymptotic observer for a nonlin-ear dynamical system in discrete-time following Luenberger's original idea. This approach is a two-step design procedure. In a first step, the problem…

Optimization and Control · Mathematics 2020-02-10 Lucas Brivadis , Vincent Andrieu , Ulysse Serres

This paper presents a novel nonlinear pose filter evolved directly on the Special Euclidean Group SE(3) with guaranteed characteristics of transient and steady-state performance. The above-mention characteristics can be achieved by trapping…

Optimization and Control · Mathematics 2020-02-14 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

Feature-based homography estimation approaches rely on extensive image processing for feature extraction and matching, and do not adequately account for the information provided by the image. Therefore, developing efficient direct…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Tarek Bouazza , Pieter Van Goor , Robert Mahony , Tarek Hamel

A framework for tightly integrated motion mode classification and state estimation in motion-constrained inertial navigation systems is presented. The framework uses a jump Markov model to describe the navigation system's motion mode and…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Isaac Skog , Gustaf Hendeby , Manon Kok

The issue of single range based observability analysis and observer design for the kinematics model of a 3D vehicle subject to a constant unknown drift velocity is addressed. The proposed method departs from alternative solutions to the…

Robotics · Computer Science 2014-09-02 Giovanni Indiveri , Gianfranco Parlangeli
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