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This brief technical note elaborates three well-known state estimators, which are used extensively in practice. These are the rather old-fashioned extended Kalman filter (EKF) and the recently-designed cubature Kalman filtering (CKF) and…

系统与控制 · 计算机科学 2017-10-23 G. Yu. Kulikov , M. V. Kulikova

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

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

This paper investigates the robustness and optimality of the multi-kernel correntropy (MKC) on linear regression. We first derive an upper error bound for a scalar regression problem in the presence of arbitrarily large outliers and reveal…

系统与控制 · 电气工程与系统科学 2023-10-12 Shilei Li , Yunjiang Lou , Dawei Shi , Lijing Li , Ling Shi

Accurate platform localization is an integral component of most robotic systems. As these robotic systems become more ubiquitous, it is necessary to develop robust state estimation algorithms that are able to withstand novel and…

机器人学 · 计算机科学 2019-10-15 Ryan M. Watson , Jason N. Gross , Clark N. Taylor , Robert C. Leishman

A novel method for distributed estimation of the frequency of power systems is introduced based on the cooperation between multiple measurement nodes. The proposed distributed widely linear complex Kalman filter (D-ACKF) and the distributed…

系统与控制 · 计算机科学 2014-10-03 Sithan Kanna , Dahir H. Dini , Yili Xia , Ron Hui , Danilo P. Mandic

The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering: the BPF is asymptotically exact but can suffer from weight degeneracy, while the EnKF scales well in…

统计方法学 · 统计学 2026-01-28 Ilja Klebanov , Claudia Schillings , Dana Wrischnig

We address the problem of observation noise misspecification in Bayesian filtering of dynamical systems via recent advances in generalised Bayesian inference. Mis-match in tail decay between the true data generating process and an assumed…

统计理论 · 数学 2026-05-27 Hans Reimann , Sebastian Reich

It is known that the conventional estimators such as extended Kalman filter (EKF) and unscented Kalman filter (UKF) may provide favorable performance; However, they may not guarantee the robustness against model uncertainty and cyber…

系统与控制 · 电气工程与系统科学 2025-03-28 Tohid Kargar Tasooji , Sakineh Khodadadi

Using Kalman techniques, it is possible to perform optimal estimation in linear Gaussian state-space models. We address here the case where the noise probability density functions are of unknown functional form. A flexible Bayesian…

统计理论 · 数学 2009-11-13 François Caron , Manuel Davy , Arnaud Doucet , Emmanuel Duflos , Philippe Vanheeghe

Accurate state estimation of nonlinear dynamical systems is fundamental to modern aerospace operations across air, sea, and space domains. Online tracking of adversarial unmanned aerial vehicles (UAVs) is especially challenging due to agile…

机器学习 · 计算机科学 2026-05-01 Akhil Gupta , Erhan Guven

A priori state vector and error covariance computation for the Unscented Kalman Filter (UKF) is described. The original UKF propagates multiple sigma points to compute the a priori mean state vector and the error covariance, resulting in a…

最优化与控制 · 数学 2017-03-29 Sanat Biswas , Li Qiao , Andrew Dempster

Leakage in water systems results in significant daily water losses, degrading service quality, increasing costs, and aggravating environmental problems. Most leak localization methods rely solely on pressure data, missing valuable…

系统与控制 · 电气工程与系统科学 2024-12-17 Luis Romero-Ben , Paul Irofti , Florin Stoican , Vicenç Puig

Data assimilation has been applied to coastal hydrodynamic models to better estimate system states or parameters by incorporating observed data into the model. Kalman Filter (KF) is one of the most studied data assimilation methods whose…

大气与海洋物理 · 物理学 2016-07-05 Milad Hooshyar , Stephen C. Medeiros , Dingbao Wang , Scott C. Hagen

Fifth-generation (5G) networks are expected to provide high-precision positioning estimation utilizing mmWave signals in urban and downtown areas. In such areas, 5G base stations (BSs) will be densely deployed, allowing for line-of-sight…

信号处理 · 电气工程与系统科学 2023-05-04 Sharief Saleh , Qamar Bader , Mohamed Elhabiby , Aboelmagd Noureldin

This paper addresses the problem of designing the {\it continuous-discrete} unscented Kalman filter (UKF) implementation methods. More precisely, the aim is to propose the MATLAB-based UKF algorithms for {\it accurate} and {\it robust}…

数值分析 · 数学 2023-10-09 Maria Kulikova , Gennady Kulikov

In this paper, we propose and develop a methodology for nonlinear systems health monitoring by modeling the damage and degradation mechanism dynamics as "slow" states that are augmented with the system "fast" dynamical states. This…

系统与控制 · 计算机科学 2017-10-17 Najmeh Daroogheh , Nader Meskin , Khashayar Khorasani

This research paper delves into the Linear Kalman Filter (LKF), highlighting its importance in merging data from multiple sensors. The Kalman Filter is known for its recursive solution to the linear filtering problem in discrete data,…

计算机与社会 · 计算机科学 2024-07-19 Parsa Veysi , Mohsen Adeli , Nayerosadat Peirov Naziri , Ehsan Adeli

Navigation plays a vital role in the ability of autonomous surface and underwater platforms to complete their tasks. Most navigation systems apply a fusion between inertial sensors and other external sensors, such as global navigation…

信号处理 · 电气工程与系统科学 2025-03-18 Yaakov Libero , Itzik Klein

For consensus on measurement-based distributed filtering (CMDF), through infinite consensus fusion operations during each sampling interval, each node in the sensor network can achieve optimal filtering performance with centralized…

系统与控制 · 电气工程与系统科学 2022-05-24 Jiachen Qian , Peihu Duan , Zhisheng Duan , Guanrong Chen , Ling Shi