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This paper develops a robust extended Kalman filter to estimate the rotor angles and the rotor speeds of synchronous generators of a multimachine power system. Using a batch-mode regression form, the filter processes together predicted…

系统与控制 · 电气工程与系统科学 2021-04-06 Marcos Netto , Junbo Zhao , Lamine Mili

Stochastic models in biomolecular contexts can have a state-dependent process noise covariance. The choice of the process noise covariance is an important parameter in the design of a Kalman Filter for state estimation and the theoretical…

系统与控制 · 电气工程与系统科学 2025-08-05 Krishan Kumar Gola , Shaunak Sen

Nowadays, the active filters represent a viable alternative for controlling harmonic levels in industrial consumers electrical installations. It must be noted the availability of many different types of filter configurations that can be…

科普物理 · 物理学 2010-02-26 Gligor Adrian

This paper describes a novel technique for promoting sparsity in the modified filtered-x algorithms required for active noise control. The proposed algorithms are based on recent techniques incorporating approximations to the \ell_0-norm in…

声音 · 计算机科学 2014-05-28 A. Gully , R. C. de Lamare

This paper studies the optimal state estimation for a dynamic system, whose transfer function can be nonlinear and the input noise can be of arbitrary distribution. Our algorithm differs from the conventional extended Kalman filter (EKF)…

信号处理 · 电气工程与系统科学 2022-04-22 Xin Liang , Yi Jiang

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…

数值分析 · 数学 2021-06-23 Gottfried Hastermann , Maria Reinhardt , Rupert Klein , Sebastian Reich

The Kalman filter is an established tool for the analysis of dynamic systems with normally distributed noise, and it has been successfully applied in numerous application areas. It provides sequentially calculated estimates of the system…

系统与控制 · 计算机科学 2016-10-26 S. Eichstädt , N. Makarava , C. Elster

Here we revisit the classic problem of linear quadratic estimation, i.e. estimating the trajectory of a linear dynamical system from noisy measurements. The celebrated Kalman filter gives an optimal estimator when the measurement noise is…

机器学习 · 统计学 2021-11-12 Sitan Chen , Frederic Koehler , Ankur Moitra , Morris Yau

We formulate a recursive estimation problem for multiple dynamical systems coupled through a low dimensional stochastic input, and we propose an efficient sub-optimal solution. The suggested approach is an approximation of the Kalman filter…

最优化与控制 · 数学 2019-11-26 Leonid Pogorelyuk , Clarence W. Rowley , N. Jeremy Kasdin

The Kalman filter is extensively used for state estimation for linear systems under Gaussian noise. When non-Gaussian L\'evy noise is present, the conventional Kalman filter may fail to be effective due to the fact that the non-Gaussian…

动力系统 · 数学 2013-03-12 Xu Sun , Jinqiao Duan , Xiaofan Li , Xiangjun Wang

In this work, we propose a robust adaptive filtering approach for active noise control applications in the presence of impulsive noise. In particular, we develop the filtered-x hyperbolic tangent exponential generalized Kernel M-estimate…

机器学习 · 计算机科学 2025-08-19 Iam Kim de S. Hermont , Andre R. Flores , Rodrigo C. de Lamare

As a burgeoning medical imaging method based on hybrid fusion of light and ultrasound, photoacoustic imaging (PAI) has demonstrated high potential in various biomedical applications recently, especially in revealing the functional and…

信号处理 · 电气工程与系统科学 2022-11-21 Tianqu Hu , Zihao Huang , Peng Ge , Feng Gao , Fei Gao

Kalman filter is a key tool for time-series forecasting and analysis. We show that the dependence of a prediction of Kalman filter on the past is decaying exponentially, whenever the process noise is non-degenerate. Therefore, Kalman filter…

统计理论 · 数学 2019-09-24 Mark Kozdoba , Jakub Marecek , Tigran Tchrakian , Shie Mannor

Most Kalman filter extensions assume Gaussian noise and when the noise is non-Gaussian, usually other types of filters are used. These filters, such as particle filter variants, are computationally more demanding than Kalman type filters.…

应用统计 · 统计学 2021-05-19 Matti Raitoharju , Henri Nurminen , Demet Cilden-Guler , Simo Särkkä

Grid-following (GFL) inverters are commonly used for integrating renewable energy sources into power grids. However, the dynamic performance of GFL models can be significantly impacted by the Phase-Locked Loop (PLL) in a weak grid, leading…

系统与控制 · 电气工程与系统科学 2025-07-03 Phuoc Sang Nguyen , Ghavameddin Nourbakhsh , Gerard Ledwich

Solid-state quantum technologies such as quantum dot qubits and quantum electrical metrology circuits rely on quantum phenomena at ultra-low energies, making them highly sensitive to various forms of environmental noise. Conventional…

Kalman Filters (KF) are fundamental to real-time state estimation applications, including radar-based tracking systems used in modern driver assistance and safety technologies. In a linear dynamical system with Gaussian noise distributions…

机器人学 · 计算机科学 2024-11-27 Arian Mehrfard , Bharanidhar Duraisamy , Stefan Haag , Florian Geiss

In this paper, we propose a new model reduction technique for linear stochastic systems that builds upon knowledge filtering and utilizes optimal Kalman filtering techniques. This new technique will reduce the dimension of the noise…

系统与控制 · 电气工程与系统科学 2023-09-18 Maico Hendrikus Wilhelmus Engelaar , Licio Romao , Yulong Gao , Mircea Lazar , Alessandro Abate , Sofie Haesaert

Filtering is a widely used methodology for the incorporation of observed data into time-evolving systems. It provides an online approach to state estimation inverse problems when data is acquired sequentially. The Kalman filter plays a…

概率论 · 数学 2015-05-27 Wonjung Lee , Damon McDougall , Andrew Stuart

The Kalman filter (KF) is a widely-used algorithm for tracking dynamic systems that are captured by state space (SS) models. The need to fully describe a SS model limits its applicability under complex settings, e.g., when tracking based on…

信号处理 · 电气工程与系统科学 2023-04-21 Itay Buchnik , Damiano Steger , Guy Revach , Ruud J. G. van Sloun , Tirza Routtenberg , Nir Shlezinger