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Ensemble transform Kalman filtering (ETKF) data assimilation is often used to combine available observations with numerical simulations to obtain statistically accurate and reliable state representations in dynamical systems. However, it is…

Numerical Analysis · Mathematics 2024-03-07 Tongtong Li , Anne Gelb , Yoonsang Lee

This work introduces a scalable filtering algorithm for multi-agent traffic estimation. Large-scale networks are spatially partitioned into overlapping road sections. The traffic dynamics of each section is given by the switching mode model…

Systems and Control · Computer Science 2017-01-20 Ye Sun , Daniel B. Work

This paper presents ECO-DKF, the first Event-Triggered and Certifiable Optimal Distributed Kalman Filter. Our algorithm addresses two major issues inherent to Distributed Kalman Filters: (i) fully distributed and scalable optimal estimation…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Eduardo Sebastián , Eduardo Montijano , Carlos Sagüés

In this paper, in order to enhance the numerical stability of the unscented Kalman filter (UKF) used for power system dynamic state estimation, a new UKF with guaranteed positive semidifinite estimation error covariance (UKF-GPS) is…

Optimization and Control · Mathematics 2016-08-03 Junjian Qi , Kai Sun , Jianhui Wang , Hui Liu

This technical note addresses the UD factorization based Kalman filtering (KF) algorithms. Using this important class of numerically stable KF schemes, we extend its functionality and develop an elegant and simple method for computation of…

Systems and Control · Computer Science 2016-11-28 Julia V. Tsyganova , Maria V. Kulikova

Kalman Filter (KF) is an optimal linear state prediction algorithm, with applications in fields as diverse as engineering, economics, robotics, and space exploration. Here, we develop an extension of the KF, called a Pathspace Kalman Filter…

Machine Learning · Statistics 2024-04-03 Chaitra Agrahar , William Poole , Simone Bianco , Hana El-Samad

The frequency-domain Kalman filter (FKF) has been utilized in many audio signal processing applications due to its fast convergence speed and robustness. However, the performance of the FKF in under-modeling situations has not been…

Signal Processing · Electrical Eng. & Systems 2019-02-20 Wenzhi Fan , Kai Chen , Jing Lu , Jiancheng Tao

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 Kalman filter (KF) and its variants are among the most celebrated algorithms in signal processing. These methods are used for state estimation of dynamic systems by relying on mathematical representations in the form of simple…

In this paper, we consider a secure distributed filtering problem for linear time-invariant systems with bounded noises and unstable dynamics under compromised observations. A malicious attacker is able to compromise a subset of the agents…

Systems and Control · Computer Science 2019-03-19 Xingkang He , Xiaoqiang Ren , Henrik Sandberg , Karl Henrik Johansson

Providing a metric of uncertainty alongside a state estimate is often crucial when tracking a dynamical system. Classic state estimators, such as the Kalman filter (KF), provide a time-dependent uncertainty measure from knowledge of the…

Signal Processing · Electrical Eng. & Systems 2022-02-10 Itzik Klein , Guy Revach , Nir Shlezinger , Jonas E. Mehr , Ruud J. G. van Sloun , Yonina. C. Eldar

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

This paper demonstrates the feasibility of implementing Real-Time State Estimators (RTSEs) for Active Distribution Networks (ADNs) in Field-Programmable Gate Arrays (FPGAs) by presenting an operational prototype. The prototype is based on a…

Applications · Statistics 2017-12-27 Andreas Martin Kettner , Mario Paolone

This paper addresses the synthesis of an optimal fixed-gain distributed observer for discrete-time linear systems over wireless sensor networks. The proposed approach targets the steady-state estimation regime and computes fixed observer…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Francisco Rego

We study how to secure distributed filters for linear time-invariant systems with bounded noise under false-data injection attacks. A malicious attacker is able to arbitrarily manipulate the observations for a time-varying and unknown…

Systems and Control · Electrical Eng. & Systems 2021-06-23 Xingkang He , Xiaoqiang Ren , Henrik Sandberg , Karl H. Johansson

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

We examine the problem of time delay estimation, or temporal calibration, in the context of multisensor data fusion. Differences in processing intervals and other factors typically lead to a relative delay between measurement updates from…

Systems and Control · Electrical Eng. & Systems 2021-11-18 Jonathan Kelly , Christopher Grebe , Matthew Giamou

We use statistical learning methods to construct an adaptive state estimator for nonlinear stochastic systems. Optimal state estimation, in the form of a Kalman filter, requires knowledge of the system's process and measurement uncertainty.…

Machine Learning · Statistics 2014-11-05 Michael Busch , Jeff Moehlis

Filtering - the task of estimating the conditional distribution for states of a dynamical system given partial and noisy observations - is important in many areas of science and engineering, including weather and climate prediction.…

Machine Learning · Computer Science 2025-03-25 Eviatar Bach , Ricardo Baptista , Enoch Luk , Andrew Stuart

In this paper we present a method for updating robotic state belief through contact with uncertain surfaces and apply this update to a Kalman filter for more accurate state estimation. Examining how guard surface uncertainty affects the…

Robotics · Computer Science 2022-08-02 J. Joe Payne , Nathan J. Kong , Aaron M. Johnson
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