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Distributed Kalman filter approaches based on the maximum correntropy criterion have recently demonstrated superior state estimation performance to that of conventional distributed Kalman filters for wireless sensor networks in the presence…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Jiacheng He , Gang Wang , Xuemei Mao , Song Gao , Bei Peng

In this work, we present methods for state estimation in continuous-discrete nonlinear systems involving stochastic differential equations. We present the extended Kalman filter, the unscented Kalman filter, the ensemble Kalman filter, and…

To obtain the accurate transient states of the big scale natural gas pipeline networks under the bad data and non-zero mean noises conditions, a robust Kalman filter-based dynamic state estimation method is proposed using the linearized gas…

Signal Processing · Electrical Eng. & Systems 2021-03-10 Liang Chen , Peng Jin , Jing Yang , Yang Li , Yi Song

In this paper we consider the behavior of Kalman Filter state estimates in the case of distribution with heavy tails .The simulated linear state space models with Gaussian measurement noises were used. Gaussian noises in state equation are…

Statistics Theory · Mathematics 2015-12-08 Valentin Konakov , Pavel Mozgunov

Stochastic stability for centralized time-varying Kalman filtering over a wireles ssensor network with correlated fading channels is studied. On their route to the gateway, sensor packets, possibly aggregated with measurements from several…

Optimization and Control · Mathematics 2013-08-09 Daniel E. Quevedo , Anders Ahlen , Karl H. Johansson

Dynamical models estimate and predict the temporal evolution of physical systems. State Space Models (SSMs) in particular represent the system dynamics with many desirable properties, such as being able to model uncertainty in both the…

Machine Learning · Computer Science 2021-09-14 Changhao Chen , Chris Xiaoxuan Lu , Bing Wang , Niki Trigoni , Andrew Markham

The reliability and precision of dynamic database are vital for the optimal operating and global control of integrated energy systems. One of the effective ways to obtain the accurate states is state estimations. A novel robust dynamic…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Liang Chen , Yang Li , Manyun Huang , Xinxin Hui , Songlin Gu

A computationally efficient method for online joint state inference and dynamical model learning is presented. The dynamical model combines an a priori known, physically derived, state-space model with a radial basis function expansion…

Systems and Control · Electrical Eng. & Systems 2021-07-12 Anton Kullberg , Isaac Skog , Gustaf Hendeby

Nonlinear model predictive control has become a popular approach to deal with highly nonlinear and unsteady state systems, the performance of which can however deteriorate due to unaccounted uncertainties. Model predictive control is…

Optimization and Control · Mathematics 2021-03-02 Eric Bradford , Lars Imsland

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 introduces a novel approach to detect and address faulty or corrupted external sensors in the context of inertial navigation by leveraging a switching Kalman Filter combined with parameter augmentation. Instead of discarding the…

Systems and Control · Electrical Eng. & Systems 2024-12-12 Artem Mustaev , Nicholas Galioto , Matt Boler , John D. Jakeman , Cosmin Safta , Alex Gorodetsky

State estimation of dynamical systems from noisy observations is a fundamental task in many applications. It is commonly addressed using the linear Kalman filter (KF), whose performance can significantly degrade in the presence of outliers…

Signal Processing · Electrical Eng. & Systems 2024-08-27 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

Estimating the state of a dynamical system from partial and noisy observations is a ubiquitous problem in a large number of applications, such as probabilistic weather forecasting and prediction of epidemics. Particle filters are a widely…

Statistics Theory · Mathematics 2025-03-21 E. Calvello , J. A. Carrillo , F. Hoffmann , P. Monmarché , A. M. Stuart , U. Vaes

In this paper is proposed a novel incremental iterative Gauss-Newton-Markov-Kalman filter method for state estimation of dynamic models given noisy measurements. The mathematical formulation of the proposed filter is based on the…

Optimization and Control · Mathematics 2019-09-17 Bojana Rosic

This article examines state estimation in discrete-time nonlinear stochastic systems with finite-dimensional states and infinite-dimensional measurements, motivated by real-world applications such as vision-based localization and tracking.…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Maxwell M. Varley , Timothy L. Molloy , Girish N. Nair

The circadian clock is an internal timer that coordinates the daily rhythms of behavior and physiology, including sleep and hormone secretion. Accurately tracking the state of the circadian clock, or circadian phase, holds immense potential…

Dynamical Systems · Mathematics 2023-06-14 Dae Wook Kim , Minki P. Lee , Daniel B. Forger

We derive a novel, provably robust, and closed-form Bayesian update rule for online filtering in state-space models in the presence of outliers and misspecified measurement models. Our method combines generalised Bayesian inference with…

Long Short-Term Memory networks trained with gradient descent and back-propagation have received great success in various applications. However, point estimation of the weights of the networks is prone to over-fitting problems and lacks…

Machine Learning · Computer Science 2019-06-05 Chao Chen , Xiao Lin , Gabriel Terejanu

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He

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
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