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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…

系统与控制 · 电气工程与系统科学 2023-12-18 Hua Lan , Shijie Zhao , Jinjie Hu , Zengfu Wang , Jing Fu

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

The Kalman filter (KF) is one of the most widely used tools for data assimilation and sequential estimation. In this work, we show that the state estimates from the KF in a standard linear dynamical system setting are equivalent to those…

统计方法学 · 统计学 2021-08-04 Maria Jahja , David C. Farrow , Roni Rosenfeld , Ryan J. Tibshirani

This paper studies safety guarantees for systems with time-varying control bounds. It has been shown that optimizing quadratic costs subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) using…

最优化与控制 · 数学 2024-04-22 Shuo Liu , Wei Xiao , Calin A. Belta

Data assimilation has been applied to coastal hydrodynamic models to better estimate system states or parameters by incorporating observed data into the model. Kalman Filter (KF) is one of the most studied data assimilation methods whose…

大气与海洋物理 · 物理学 2016-07-05 Milad Hooshyar , Stephen C. Medeiros , Dingbao Wang , Scott C. Hagen

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…

信号处理 · 电气工程与系统科学 2019-02-20 Wenzhi Fan , Kai Chen , Jing Lu , Jiancheng Tao

Kalman-type filtering techniques including cubature Kalman filter (CKF) does not work well in non-Gaussian environments, especially in the presence of outliers. To solve this problem, Huber's M-estimation based robust CKF (RCKF) is proposed…

系统与控制 · 计算机科学 2020-03-06 Yang Li , Jing Li , Junjian Qi , Liang Chen

Cubature Kalman Filter (CKF) has good performance when handling nonlinear dynamic state estimations. However, it cannot work well in non-Gaussian noise and bad data environment due to the lack of auto-adaptive ability to measure noise…

系统与控制 · 电气工程与系统科学 2019-10-08 Yang Li , Jing Li , Liang Chen , Junjian Qi , Guoqing Li

For linear discrete state-space (LDSS) models, under certain conditions, the linear least mean squares filter estimate has a convenient recursive predictor/corrector format, aka the Kalman filter (KF). The aim of the paper is to introduce…

信号处理 · 电气工程与系统科学 2017-11-07 Eric Chaumette , Francois Vincent

Parameter estimation in cognitive communications can be formulated as a multi-user estimation problem, which is solvable under maximum likelihood solution but involves high computational complexity. This paper presents a time-sharing and…

信息论 · 计算机科学 2011-11-17 Pengkai Zhao , Cong Shen

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…

机器学习 · 统计学 2024-04-03 Chaitra Agrahar , William Poole , Simone Bianco , Hana El-Samad

The optimal fusion of estimates in a Distributed Kalman Filter (DKF) requires tracking of the complete network error covariance, problematic in terms of memory and communication. A scalable alternative is to fuse estimates under unknown…

系统与控制 · 电气工程与系统科学 2022-06-14 Eduardo Sebastián , Eduardo Montijano , Carlos Sagüés

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…

This article presents a closed-form adaptive controlbarrier-function (CBF) approach for satisfying state constraints in systems with parametric uncertainty. This approach uses a sampled-data recursive-least-squares algorithm to estimate the…

系统与控制 · 电气工程与系统科学 2024-11-21 Ricardo Gutierrez , Jesse B. Hoagg

We consider the problem of approximating a truncated Gaussian kernel using Fourier (trigonometric) functions. The computation-intensive bilateral filter can be expressed using fast convolutions by applying such an approximation to its range…

图像与视频处理 · 电气工程与系统科学 2018-11-07 Sanjay Ghosh , Pravin Nair , Kunal N. Chaudhury

A Kalman filter based sequential estimator is presented in the present work. The estimator is integrated in the structure of segregated solvers for the analysis of incompressible flows. This technique provides an augmented flow state…

流体动力学 · 物理学 2017-02-22 Marcello Meldi , Alexandre Poux

In this paper, we consider the task of designing a Kalman Filter (KF) for an unknown and partially observed autonomous linear time invariant system driven by process and sensor noise. To do so, we propose studying the following two step…

系统与控制 · 电气工程与系统科学 2020-05-14 Anastasios Tsiamis , Nikolai Matni , George J. Pappas

Extended Kalman Filter (EKF) has been a popular approach to localization a mobile robot. However, the performance of the EKF and the quality of the estimation depends on the correct a priori knowledge of process and measurement noise…

其他计算机科学 · 计算机科学 2010-04-20 Ramazan Havangi , Mohammad Ali Nekoui , Mohammad Teshnehlab

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

系统与控制 · 电气工程与系统科学 2025-07-02 Alan Yang , Stephen Boyd

Driven by the filtering challenges in linear systems disturbed by non-Gaussian heavy-tailed noise, the robust Kalman filters (RKFs) leveraging diverse heavy-tailed distributions have been introduced. However, the RKFs rely on precise noise…

信号处理 · 电气工程与系统科学 2024-03-26 Pengcheng Hao , Oktay Karakus , Alin Achim