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The unscented Kalman filter is a nonlinear estimation algorithm commonly used in navigation applications. The prediction of the mean and covariance matrix is crucial to the stable behavior of the filter. This prediction is done by…

Robotics · Computer Science 2025-12-16 Amit Levy , Itzik Klein

In this paper, we present a nodal hydraulic head estimation methodology for water distribution networks (WDN) based on an Unscented Kalman Filter (UKF) scheme with application to leak localization. The UKF refines an initial estimation of…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Luis Romero-Ben , Paul Irofti , Florin Stoican , Vicenç Puig

State estimation in multi-layer turbulent flow fields with only a single layer of partial observation remains a challenging yet practically important task. Applications include inferring the state of the deep ocean by exploiting surface…

Fluid Dynamics · Physics 2025-09-30 Zhongrui Wang , Nan Chen , Di Qi

This paper proposes a novel vehicle sideslip angle estimator, which uses the physical knowledge from an Unscented Kalman Filter (UKF) based on a non-linear single-track vehicle model to enhance the estimation accuracy of a Convolutional…

Systems and Control · Electrical Eng. & Systems 2023-03-10 Alberto Bertipaglia , Mohsen Alirezaei , Riender Happee , Barys Shyrokau

This paper is the second of a two-part series that discusses the implementation issues and test results of a robust Unscented Kalman Filter (UKF) for power system dynamic state estimation with non-Gaussian synchrophasor measurement noise.…

Systems and Control · Computer Science 2020-06-02 Junbo Zhao , Lamine Mili

Multi-modal densities appear frequently in time series and practical applications. However, they cannot be represented by common state estimators, such as the Extended Kalman Filter (EKF) and the Unscented Kalman Filter (UKF), which…

Systems and Control · Computer Science 2014-01-03 Sanket Kamthe , Jan Peters , Marc P Deisenroth

We present a novel filtering algorithm that employs Bayesian transfer learning to address the challenges posed by mismatched intensity of the noise in a pair of sensors, each of which tracks an object using a nonlinear dynamic system model.…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Omar Alotaibi , Brian L. Mark , Mohammad Reza Fasihi

This paper presents a deep learning enhanced adaptive unscented Kalman filter (UKF) for predicting human arm motion in the context of manufacturing. Unlike previous network-based methods that solely rely on captured human motion data, which…

Robotics · Computer Science 2024-02-21 Wansong Liu , Sibo Tian , Boyi Hu , Xiao Liang , Minghui Zheng

The input-parameter-state estimation capabilities of a novel unscented Kalman filter is examined herein on both linear and nonlinear systems. The unknown input is estimated in two stages within each time step. Firstly, the predicted dynamic…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Marios Impraimakis , Andrew W. Smyth

This paper introduces an advanced Quaternion-based Unscented Kalman Filter (QUKF) for real-time, robust estimation of system states and external wrenches in assistive aerial payload transportation systems that engage in direct physical…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Hussein Naser , Hashim A. Hashim , Mojtaba Ahmadi

In this work we consider the state estimation problem in nonlinear/non-Gaussian systems. We introduce a framework, called the scaled unscented transform Gaussian sum filter (SUT-GSF), which combines two ideas: the scaled unscented Kalman…

Data Analysis, Statistics and Probability · Physics 2015-05-19 Xiaodong Luo , Irene M. Moroz , Ibrahim Hoteit

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…

Optimization and Control · Mathematics 2024-05-02 Himali Singh , Kumar Vijay Mishra , Arpan Chattopadhyay

Complex systems are often described with competing models. Such divergence of interpretation on the system may stem from model fidelity, mathematical simplicity, and more generally, our limited knowledge of the underlying processes.…

Numerical Analysis · Mathematics 2017-07-21 Lun Yang , Akil Narayan , Peng Wang

Data assimilation (DA) for compressible flows with shocks is challenging because many classical DA methods generate spurious oscillations and nonphysical features near uncertain shocks. We focus here on the ensemble Kalman filter (EnKF). We…

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…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Luis Romero-Ben , Paul Irofti , Florin Stoican , Vicenç Puig

Data assimilation is the process of estimating the state of a dynamical system over time by combining model predictions with measurements. This task becomes challenging when the system is nonlinear and high-dimensional. To address this,…

Machine Learning · Statistics 2026-05-22 Eunbi Yoon , Won Chang , Donghan Kim , Dae Wook Kim

Digital twins (DTs) rely on continuous synchronization between physical systems and their virtual counterparts through online parameter estimation under uncertainty. In many practical settings, however, this task is challenged by low…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Yasar Yanik , Himadri Basu , Ricardo G. Sanfelice , Daniele Venturi

Non-Gaussian noise and the uncertainty of noise distribution are the common factors that reduce accuracy in dynamic state estimation of power systems (PS). In addition, the optimal value of the free coefficients in the unscented Kalman…

Signal Processing · Electrical Eng. & Systems 2025-04-11 Duc Viet Nguyen , Haiquan Zhao , Jinhui Hu , Le Ngoc Giang

Reconstruction of turbulent flow based on data assimilation methods is of significant importance for improving the estimation of flow characteristics by incorporating limited observations. Existing works mainly focus on using only one…

Fluid Dynamics · Physics 2021-03-30 Xin-Lei Zhang , Heng Xiao , Guo-Wei He , Shi-Zhao Wang

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

Optimization and Control · Mathematics 2018-10-11 Wei Kang , Liang Xu