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Traditional state estimation (SE) methods that are based on nonlinear minimization of the sum of localized measurement error functionals are known to suffer from non-convergence and large residual errors. In this paper we propose an…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Shimiao Li , Amritanshu Pandey , Soummya Kar , Larry Pileggi

This paper deals with the problem of state estimation for a class of linear time-invariant systems with quadratic output measurements. An immersion-type approach is presented that transforms the system into a state-affine system by adding a…

Optimization and Control · Mathematics 2020-08-04 Dionysis Theodosis , Soulaimane Berkane , Dimos V. Dimarogonas

The problem of state estimations for electric distribution system is considered. A collaborative filtering approach is proposed in this paper to integrate the slow time-scale smart meter measurements in the distribution system state…

Systems and Control · Electrical Eng. & Systems 2023-07-18 Yifei Xu , Ye Guo , Wenjun Tang , Hongbin Sun , Shiming Li , Yue Dai

A dynamic state estimation method of integrated natural gas and electric power systems (IGESs) in proposed. Firstly, the coupling model of gas pipeline networks and power systems by gas turbine units (GTUs) is established. Secondly, the…

Signal Processing · Electrical Eng. & Systems 2022-01-19 Liang Chen , Xinxin Hui , Songlin Gu , Manyun Huang , Yang Li

The factor graph approach to discrete-time linear Gaussian state space models is well developed. The paper extends this approach to continuous-time linear systems/filters that are driven by white Gaussian noise. By Gaussian message passing,…

Information Theory · Computer Science 2013-01-22 Lukas Bolliger , Hans-Andrea Loeliger , Christian Vogel

We consider a general form of the sensor scheduling problem for state estimation of linear dynamical systems, which involves selecting sensors that minimize the trace of the Kalman filter error covariance (weighted by a positive…

Optimization and Control · Mathematics 2023-12-13 Shamak Dutta , Nils Wilde , Stephen L. Smith

Data assimilation algorithms are used to estimate the states of a dynamical system using partial and noisy observations. The ensemble Kalman filter has become a popular data assimilation scheme due to its simplicity and robustness for a…

Numerical Analysis · Mathematics 2021-06-23 Gottfried Hastermann , Maria Reinhardt , Rupert Klein , Sebastian Reich

In this work we study the problem of State Estimation(SE) in large-scale, 3-phase coupled, unbalanced distribution systems. More specifically, we address the problem of including mixed real-time measurements, synchronized and…

Systems and Control · Computer Science 2018-05-16 Miguel Picallo Cruz , Adolfo Anta , Ara Panosyan , Bart De Schutter

ICESEE (ICE Sheet statE and parameter Estimator) is a Python-based, open-source data assimilation framework designed for seamless integration with ice sheet and Earth system models. It implements a parallel Ensemble Kalman Filter (EnKF)…

Computational Complexity · Computer Science 2026-03-31 Brian Kyanjo , Talea L. Mayo , Alexander A. Robel

We extend the linear mixed-effects state model to accommodate the correlated individuals and investigate its parameter and state estimation based on disturbance smoothing in this paper. For parameter estimation, EM and score based…

Methodology · Statistics 2014-09-03 Jie Zhou , Aiping Tang

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

State estimation is a fundamental problem in control and signal processing, for which the Kalman Filter provides an optimal solution under linear dynamics, Gaussian noise, and known noise covariances. However, these assumptions often fail…

Machine Learning · Computer Science 2026-05-27 Vasileios Saketos , Ming Xiao

A recursive state estimation procedure is derived for a linear time varying system with both parametric uncertainties and stochastic measurement droppings. This estimator has a similar form as that of the Kalman filter with intermittent…

Systems and Control · Computer Science 2016-11-17 Tong Zhou

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 letter deals with the problem of state estimation for a class of systems involving linear dynamics with multiple quadratic output measurements. We propose a systematic approach to immerse the original system into a linear time-varying…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Soulaimane Berkane , Dionysis Theodosis , Tarek Hamel , Dimos V. Dimarogonas

Recent result shows how to compute distributively and efficiently the linear MMSE for the multiuser detection problem, using the Gaussian BP algorithm. In the current work, we extend this construction, and show that operating this algorithm…

Information Theory · Computer Science 2009-04-16 Danny Bickson , Ori Shental , Danny Dolev

Satellite dynamics and tracking remain important challenges in the context of space exploration and communication systems. Accurate state estimation is essential to maintain reliable orbital motion and system performance. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Moh Kamalul Wafi

Closed-loop control algorithms for real-time calibration of quantum processors require efficient filters that can estimate physical error parameters based on streams of measured quantum circuit outcomes. Development of such filters is…

Quantum Physics · Physics 2024-03-29 J. P. Marceaux , Kevin Young

This article presents an up-to-date tutorial review of nonlinear Bayesian estimation. State estimation for nonlinear systems has been a challenge encountered in a wide range of engineering fields, attracting decades of research effort. To…

Systems and Control · Computer Science 2017-12-15 Huazhen Fang , Ning Tian , Yebin Wang , MengChu Zhou , Mulugeta A. Haile

Gaussian Processes (GPs) are powerful kernelized methods for non-parameteric regression used in many applications. However, their use is limited to a few thousand of training samples due to their cubic time complexity. In order to scale GPs…

Machine Learning · Statistics 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon