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Distribution system state estimation (DSSE), which provides critical information for system monitoring and control, is being challenged by multiple sources of uncertainties such as random meter errors, stochastic power output of distributed…

Systems and Control · Electrical Eng. & Systems 2020-02-26 Ying Zhang , Jianhui Wang , Zhengshuo Li

Heavy tails is a common feature of filtering distributions that results from the nonlinear dynamical and observation processes as well as the uncertainty from physical sensors. In these settings, the Kalman filter and its ensemble version -…

Computation · Statistics 2023-10-16 Mathieu Le Provost , Ricardo Baptista , Jeff D. Eldredge , Youssef Marzouk

Time-synchronized state estimation for reconfigurable distribution networks is challenging because of limited real-time observability. This paper addresses this challenge by formulating a deep learning (DL)-based approach for topology…

Machine Learning · Computer Science 2022-03-31 Behrouz Azimian , Reetam Sen Biswas , Shiva Moshtagh , Anamitra Pal , Lang Tong , Gautam Dasarathy

This paper addresses distributed state estimation for multi-agent systems with local and relative measurements, motivated by cooperative localization problems in which the global state dimension scales with the size of the network. We…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Nicola De Carli , Nicola Bastianello , Dimos V. Dimarogonas

Ensemble data assimilation methods such as the Ensemble Kalman Filter (EnKF) are a key component of probabilistic weather forecasting. They represent the uncertainty in the initial conditions by an ensemble which incorporates information…

Applications · Statistics 2018-10-17 Sylvain Robert , Daniel Leuenberger , Hans R. Künsch

Accurate state estimates are required for increasingly complex systems, to enable, for example, feedback control. However, available state estimation schemes are not necessarily real-time feasible for certain large-scale systems. Therefore,…

Systems and Control · Electrical Eng. & Systems 2024-10-24 S. A. N. Nouwens , M. M. Paulides , W. P. M. H. Heemels

This paper presents an approach for simultaneous estimation of the state and unknown parameters in a sequential data assimilation framework. The state augmentation technique, in which the state vector is augmented by the model parameters,…

Chaotic Dynamics · Physics 2023-07-19 Naratip Santitissadeekorn , Chris Jones

In this paper, we propose a non-parametric method for state estimation of high-dimensional nonlinear stochastic dynamical systems, which evolve according to gradient flows with isotropic diffusion. We combine diffusion maps, a manifold…

Signal Processing · Electrical Eng. & Systems 2019-02-26 Tal Shnitzer , Ronen Talmon , Jean-Jacques Slotine

Many state estimation and control algorithms require knowledge of how probability distributions propagate through dynamical systems. However, despite hybrid dynamical systems becoming increasingly important in many fields, there has been…

Robotics · Computer Science 2021-02-09 Nathan J. Kong , J. Joe Payne , George Council , Aaron M. Johnson

In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

Machine Learning · Computer Science 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

Compressed Estimation approaches, such as the Generalised Compressed Kalman Filter (GCKF), reduce the computational cost and complexity of high dimensional and high frequency data assimilation problems; usually without sacrificing…

Systems and Control · Computer Science 2018-11-21 Karan Narula , Jose Guivant

Distribution network operation is becoming more challenging because of the growing integration of intermittent and volatile distributed energy resources (DERs). This motivates the development of new distribution system state estimation…

Systems and Control · Electrical Eng. & Systems 2021-10-06 Jianqiao Huang , Xinyang Zhou , Bai Cui

This work studies distributed (probability) density estimation of large-scale systems. Such problems are motivated by many density-based distributed control tasks in which the real-time density of the swarm is used as feedback information,…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Tongjia Zheng , Hai Lin

Typical iterated filters, such as the iterated extended Kalman filter (IEKF), iterated unscented Kalman filter (IUKF), and iterated posterior linearization filter (IPLF), have been developed to improve the linearization point (or density)…

Optimization and Control · Mathematics 2024-04-25 Anton Kullberg , Martin A. Skoglund , Isaac Skog , Gustaf Hendeby

The general consensus is that the Multiplicative Extended Kalman Filter (MEKF) is superior to the Additive Extended Kalman Filter (AEKF) based on a wealth of theoretical evidence. This paper deals with a practical comparison between the two…

Robotics · Computer Science 2023-07-17 Hamza A. Hassan , William Tolstrup , Johanes P. Suriana , Ibrahim D. Kiziloklu

Kalman filtering is a powerful approach to adaptive filtering for various problems in signal processing. The frequency-domain adaptive Kalman filter (FDKF), based on the concept of the acoustic state space, provides a unifying solution to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-29 Ernst Seidel , Gerald Enzner , Pejman Mowlaee , Tim Fingscheidt

Online estimation of electromechanical oscillation parameters provides essential information to prevent system instability and blackout and helps to identify event categories and locations. We formulate the problem as a state space model…

Optimization and Control · Mathematics 2017-06-19 Zhe Yu , Di Shi , Zhiwei Wang , Qibing Zhang , Junhui Huang , Sen Pan

The information transmission between nodes in a wireless sensor networks (WSNs) often causes packet loss due to denial-of-service (DoS) attack, energy limitations, and environmental factors, and the information that is successfully…

Signal Processing · Electrical Eng. & Systems 2023-07-10 Jiacheng He , Bei Peng , Zhenyu Feng , Xuemei Mao , Song Gao , Gang Wang

We study the Continuous-Discrete Kalman Filter (CD-KF) for State-Space Models (SSMs) where continuous-time dynamics are observed via multiple sensors with discrete, irregularly timed measurements. Our focus extends to scenarios in which the…

Systems and Control · Electrical Eng. & Systems 2025-07-16 Mohamad Al Ahdab , John Leth , Zheng-Hua Tan

Nonlinear/non-Gaussian filtering has broad applications in many areas of life sciences where either the dynamic is nonlinear and/or the probability density function of uncertain state is non-Gaussian. In such problems, the accuracy of the…

Computation · Statistics 2012-08-02 Hatef Monajemi , Peter K. Kitanidis