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This paper is the second of a two-part series that discusses the implementation issues and test results of a robust Unscented Kalman Filter (UKF) for power system dynamic state estimation with non-Gaussian synchrophasor measurement noise.…

Systems and Control · Computer Science 2020-06-02 Junbo Zhao , Lamine Mili

The unscented transformation (UT) is an efficient method to solve the state estimation problem for a non-linear dynamic system, utilizing a derivative-free higher-order approximation by approximating a Gaussian distribution rather than…

Machine Learning · Statistics 2016-08-29 Xi Liu , Badong Chen , Bin Xu , Zongze Wu , Paul Honeine

Non-Gaussian noise, outliers, sudden load changes, and bad measurement data are key factors that diminish the accuracy of dynamic state estimation in power systems. Additionally, unscented Kalman filters (UKF) based on correntropy criteria…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Duc Viet Nguyen , Haiquan Zhao , Jinhui Hu

This paper develops the theoretical framework and the equations of a new robust Generalized Maximum-likelihood-type Unscented Kalman Filter (GM-UKF) that is able to suppress observation and innovation outliers while filtering out…

Statistics Theory · Mathematics 2020-06-02 Junbo Zhao , Lamine Mili

This paper proposes a decentralized dynamic state estimation (DSE) algorithm with bimodal Gaussian mixture measurement noise. The decentralized DSE is formulated using the Ensemble Kalman Filter (EnKF) and then compared with the unscented…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Vahid Sarfi , Amir Ghasemkhani , Iman Niazazari , Hanif Livani , Lei Yang

The Kalman filter provides an optimal estimation for a linear system with Gaussian noise. However when the noises are non-Gaussian in nature, its performance deteriorates rapidly. For non-Gaussian noises, maximum correntropy Kalman filter…

Optimization and Control · Mathematics 2023-02-07 Joydeb Saha , Shovan Bhaumik

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

Machine Learning · Statistics 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

Conventional Kalman filtering (KF) approaches exhibit significant limitations in addressing nonlinear state estimation problems contaminated by non-Gaussian noise disturbances. To overcome these challenges, this work proposes a robust…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Jinhui Hu , Haiquan Zhao , Yi Peng

As one of the most advanced variants in the correntropy family, the multi-kernel correntropy criterion demonstrates superior accuracy in handling non-Gaussian noise, particularly with multimodal distributions. However, current approaches…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Duc Viet Nguyen , Haiquan Zhao , Jinhui Hu , Xiaoli Li

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

State estimation is a fundamental problem for multi-sensor information fusion, essential in applications such as target tracking, power systems, and control automation. Previous research mostly ignores the correlation between sensors and…

Signal Processing · Electrical Eng. & Systems 2025-03-13 Weizhi Chen , Yaowen Li , Yu Liu , You He

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

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 article, the state estimation problems with unknown process noise and measurement noise covariances for both linear and nonlinear systems are considered. By formulating the joint estimation of system state and noise parameters into…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Hua Lan , Shijie Zhao , Jinjie Hu , Zengfu Wang , Jing Fu

The secret key rate of a continuous-variable quantum key distribution (CV-QKD) system is limited by excess noise. A key issue typical to all modern CV-QKD systems implemented with a reference or pilot signal and an independent local…

Quantum Physics · Physics 2021-05-13 Hou-Man Chin , Nitin Jain , Darko Zibar , Ulrik L. Andersen , Tobias Gehring

Disturbance observers have been attracting continuing research efforts and are widely used in many applications. Among them, the Kalman filter-based disturbance observer is an attractive one since it estimates both the state and the…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Shilei Li , Dawei Shi , Yunjiang Lou , Wulin Zou , Ling Shi

This paper studies the distributed state estimation problem for a class of discrete time-varying systems over sensor networks. Firstly, it is shown that a networked Kalman filter with optimal gain parameter is actually a centralized filter,…

Systems and Control · Computer Science 2017-11-15 Xingkang He , Wenchao Xue , Haitao Fang

This paper introduces a Gaussian Bayesian Network-based Extended Kalman Filter (GBN-EKF) for non-linear state estimators on stiff and ill-conditioned continuous-discrete stochastic systems, with a further analysis on systems with…

Optimization and Control · Mathematics 2025-11-05 Priyank Behera , C. Robert Kenley

In the classical Kalman filter(KF), the estimated state is a linear combination of the one-step predicted state and measurement state, their confidence level change when the prediction mean square error matrix and covariance matrix of…

Signal Processing · Electrical Eng. & Systems 2023-09-19 Benyang Gong , Jiacheng He , Gang Wang , Bei Peng

The Unscented Kalman Filter (UKF) is a ubiquitous tool for nonlinear state estimation; however, its performance is limited by the static parameterization of the Unscented Transform (UT). Conventional weighting schemes, governed by fixed…

Machine Learning · Computer Science 2026-03-05 Kenan Majewski , Michał Modzelewski , Marcin Żugaj , Piotr Lichota
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