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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

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

Machine Learning · Computer Science 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

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…

Robotics · Computer Science 2021-11-29 Blake Cole , Gabriel Schamberg

Reservoir computing (RC) is a state-of-the-art machine learning method that makes use of the power of dynamical systems (the reservoir) for real-time inference. When using biological complex systems as reservoir substrates, it serves as a…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Mario U. Gaimann , Miriam Klopotek

Due to the state trajectory-independent features of invariant Kalman filtering (InEKF), it has attracted widespread attention in the research community for its significantly improved state estimation accuracy and convergence under…

Robotics · Computer Science 2023-10-04 Xiaoyu Ye , Fujun Song , Zongyu Zhang , Rui Zhang , Qinghua Zeng

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…

Robotics · Computer Science 2020-03-12 Martin Brossard , Axel Barrau , Silvere Bonnabel

Conventional Bayesian estimation requires an accurate stochastic model of a system. However, this requirement is not always met in many practical cases where the system is not completely known or may differ from the assumed model. For such…

Signal Processing · Electrical Eng. & Systems 2023-04-05 Ranjeet Kumar Tiwari , Shovan Bhaumik

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…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Chiran Cherian , Simone Servadio

Modern autonomous navigation for unmanned ground vehicles relies on different estimators to fuse inertial sensors and GNSS measurements. However, the constant noise covariance matrices often struggle to account for dynamic real-world…

Robotics · Computer Science 2026-03-26 Gal Versano , Itzik Klein

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

The unscented Kalman filter is an algorithm capable of handling nonlinear scenarios. Uncertainty in process noise covariance may decrease the filter estimation performance or even lead to its divergence. Therefore, it is important to adjust…

Robotics · Computer Science 2026-03-03 Amit Levy , Itzik Klein

This work studies the state estimation problem of a stochastic nonlinear system with unknown sensor measurement losses. If the estimator knows the sensor measurement losses of a linear Gaussian system, the minimum variance estimate is…

Systems and Control · Computer Science 2020-05-11 Jiaqi Zhang , Keyou You , Lihua Xie

This paper presents methods for vehicle state estimation and prediction for autonomous driving. A roundabout is chosen to apply the methods and illustrate the results as autonomous vehicles have difficulty in handling roundabouts. State…

Systems and Control · Electrical Eng. & Systems 2023-04-26 Xinchen Li , Levent Guvenc , Bilin Aksun-Guvenc

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

The Kalman filter (KF) is used in a variety of applications for computing the posterior distribution of latent states in a state space model. The model requires a linear relationship between states and observations. Extensions to the Kalman…

Machine Learning · Statistics 2016-08-31 Michael C. Burkhart , David M. Brandman , Carlos E. Vargas-Irwin , Matthew T. Harrison

Few real-world systems are amenable to truly Bayesian filtering; nonlinearities and non-Gaussian noises can wreak havoc on filters that rely on linearization and Gaussian uncertainty approximations. This article presents the Bayesian…

Numerical Analysis · Mathematics 2023-10-31 Kristen Michaelson , Andrey A. Popov , Renato Zanetti

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

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…

Dynamical Systems · Mathematics 2014-09-30 Dilshad Raihan A. V. , Suman Chakravorty

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…

Systems and Control · Computer Science 2017-10-23 G. Yu. Kulikov , M. V. Kulikova

Kalman-type filtering techniques including cubature Kalman filter (CKF) does not work well in non-Gaussian environments, especially in the presence of outliers. To solve this problem, Huber's M-estimation based robust CKF (RCKF) is proposed…

Systems and Control · Computer Science 2020-03-06 Yang Li , Jing Li , Junjian Qi , Liang Chen