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A stable square-root approach has been recently proposed for the unscented Kalman filter (UKF) and fifth-degree cubature Kalman filter (5D-CKF) as well as for the mixed-type methods consisting of the extended Kalman filter (EKF) time update…

最优化与控制 · 数学 2023-12-06 Maria V. Kulikova , Gennady Yu. Kulikov

Recent research in nonlinear filtering and signal processing has suggested an efficient derivative-free Extended Kalman filter (EKF) designed for discrete-time stochastic systems. Such approach, however, has failed to address the estimation…

最优化与控制 · 数学 2024-02-20 Maria V. Kulikova , Gennady Yu. Kulikov

This paper continues our research devoted to an accurate nonlinear Bayesian filters' design. Our solution implies numerical methods for solving ordinary differential equations (ODE) when propagating the mean and error covariance of the…

最优化与控制 · 数学 2023-11-21 Maria V. Kulikova , Gennady Yu. Kulikov

Dynamic operation of biological processes, such as anaerobic digestion (AD), requires reliable process monitoring to guarantee stable operating conditions at all times. Unscented Kalman filters (UKF) are an established tool for nonlinear…

系统与控制 · 电气工程与系统科学 2024-08-07 Simon Hellmann , Terrance Wilms , Stefan Streif , Sören Weinrich

The unscented Kalman filter (UKF) is a commonly used algorithm capable of estimating the states of nonlinear dynamic systems. It carefully chooses a set of sample points, called sigma points that capture the nonlinear system states…

信号处理 · 电气工程与系统科学 2026-04-07 Amit Levy , Itzik Klein

The present paper introduces a novel methodology for Unscented Kalman Filtering (UKF) on manifolds that extends previous work by the authors on UKF on Lie groups. Beyond filtering performance, the main interests of the approach are its…

机器人学 · 计算机科学 2020-03-12 Martin Brossard , Axel Barrau , Silvere Bonnabel

The Unscented Kalman Filter (UKF) is a ubiquitous tool for nonlinear state estimation; however, its performance is limited by the static parameterization of the Unscented Transform (UT). Conventional weighting schemes, governed by fixed…

机器学习 · 计算机科学 2026-03-05 Kenan Majewski , Michał Modzelewski , Marcin Żugaj , Piotr Lichota

In this paper, we continue to study the derivative-free extended Kalman filtering (DF-EKF) framework for state estimation of continuous-discrete nonlinear stochastic systems. Having considered the Euler-Maruyama and It\^{o}-Taylor…

数值分析 · 数学 2024-03-08 Maria V. Kulikova , Gennady Yu. Kulikov

In this paper, in order to enhance the numerical stability of the unscented Kalman filter (UKF) used for power system dynamic state estimation, a new UKF with guaranteed positive semidifinite estimation error covariance (UKF-GPS) is…

最优化与控制 · 数学 2016-08-03 Junjian Qi , Kai Sun , Jianhui Wang , Hui Liu

This paper introduces an innovative approach to Simultaneous Localization and Mapping (SLAM) using the Unscented Kalman Filter (UKF) in a dynamic environment. The UKF is proven to be a robust estimator and demonstrates lower sensitivity to…

机器人学 · 计算机科学 2023-12-20 Masoud Dorvash , Ali Eslamian , Mohammad Reza Ahmadzadeh

This paper presents a neural network-based Unscented Kalman Filter (UKF) to estimate and track the pose (i.e., position and orientation) of a known, noncooperative, tumbling target spacecraft in a close-proximity rendezvous scenario. The…

机器人学 · 计算机科学 2023-08-16 Tae Ha Park , Simone D'Amico

Autonomous proximity operations, such as active debris removal and on-orbit servicing, require high-fidelity relative navigation solutions that remain robust in the presence of parametric uncertainty. Standard estimation frameworks…

机器人学 · 计算机科学 2026-03-31 Batu Candan , Simone Servadio

In this paper, we present a UKF-PF based hybrid nonlinear filter for space object tracking. Estimating the state and its associated uncertainty, also known as filtering is paramount to the tracking process. The periodicity of the Keplerian…

动力系统 · 数学 2014-09-30 Dilshad Raihan A. V. , Suman Chakravorty

Most nonlinear filters used in spacecraft navigation are based on a linear approximation of the optimal minimum mean square error estimator. The Unscented Kalman Filter (UKF) handles nonlinear dynamics through a sigma-point transform, but…

系统与控制 · 电气工程与系统科学 2026-03-24 Chiran Cherian , Simone Servadio

Rapid advances in designing cognitive and counter-adversarial systems have motivated the development of inverse Bayesian filters. In this setting, a cognitive 'adversary' tracks its target of interest via a stochastic framework such as a…

最优化与控制 · 数学 2024-05-02 Himali Singh , Kumar Vijay Mishra , Arpan Chattopadhyay

This paper proposes a simple, accurate and computationally efficient method to apply the ordinary unscented Kalman filter developed in Euclidean space to systems whose dynamics evolve on manifolds.We use the mathematical theory called…

机器人学 · 计算机科学 2022-12-01 Jae-Hyeon Park , Dong Eui Chang

The unscented transformation (UT) is an efficient method to solve the state estimation problem for a non-linear dynamic system, utilizing a derivative-free higher-order approximation by approximating a Gaussian distribution rather than…

机器学习 · 统计学 2016-08-29 Xi Liu , Badong Chen , Bin Xu , Zongze Wu , Paul Honeine

The most accurate version of the unscented Kalman filter (UKF) involves the construction of two ensembles. To reduce computational cost, however, UKF is often implemented without the second ensemble. This simplification comes at a price,…

系统与控制 · 电气工程与系统科学 2022-08-22 Ankit Goel , Dennis S. Bernstein

Many filters have been proposed in recent decades for the nonlinear state estimation problem. The linearization-based extended Kalman filter (EKF) is widely applied to nonlinear industrial systems. As EKF is limited in accuracy and…

系统与控制 · 电气工程与系统科学 2020-09-29 Chengling Fang , Jiang Liu , Songqing Ye , Ju Zhang

This paper describes a novel tracking filter, designed primarily for use in collision avoidance systems on autonomous surface vehicles (ASVs). The proposed methodology leverages real-time kinematic information broadcast via the Automatic…

机器人学 · 计算机科学 2021-11-29 Blake Cole , Gabriel Schamberg
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