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In this paper, we focus on developing an Invariant Extended Kalman Filter (IEKF) for extended pose estimation for a noisy system with state equality constraints. We treat those constraints as noise-free pseudo-measurements. To this aim, we…

系统与控制 · 电气工程与系统科学 2024-04-17 Sven Goffin , Silvère Bonnabel , Olivier Brüls , Pierre Sacré

Natural disasters, such as hurricanes and typhoons, pose significant challenges to public safety and infrastructure. While government agencies rely on multi million dollar UAV systems for storm data collection and disaster response, smaller…

动力系统 · 数学 2025-09-17 Ahmed A. Elgohary , Benjamin Gwinnell , Josh Augustine

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

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

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

Existing LiDAR-Inertial Odometry (LIO) systems typically use sensor-specific or environment-dependent measurement covariances during state estimation, leading to laborious parameter tuning and suboptimal performance in challenging…

机器人学 · 计算机科学 2025-08-01 Xupeng Xie , Ruoyu Geng , Jun Ma , Boyu Zhou

Sequential Bayesian filters in non-linear dynamic systems require the recursive estimation of the predictive and posterior distributions. This paper introduces a Bayesian filter called the adaptive kernel Kalman filter (AKKF). With this…

信号处理 · 电气工程与系统科学 2023-04-12 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood

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

The unscented Kalman filter (UKF) is a commonly used algorithm capable of estimating the states of nonlinear dynamic systems. It carefully chooses a set of sample points, called sigma points that capture the nonlinear system states…

信号处理 · 电气工程与系统科学 2026-04-07 Amit Levy , Itzik Klein

State estimation of dynamical systems in real-time is a fundamental task in signal processing. For systems that are well-represented by a fully known linear Gaussian state space (SS) model, the celebrated Kalman filter (KF) is a low…

信号处理 · 电气工程与系统科学 2022-04-13 Guy Revach , Nir Shlezinger , Xiaoyong Ni , Adria Lopez Escoriza , Ruud J. G. van Sloun , Yonina C. Eldar

Vehicle state estimation presents a fundamental challenge for autonomous driving systems, requiring both physical interpretability and the ability to capture complex nonlinear behaviors across diverse operating conditions. Traditional…

系统与控制 · 电气工程与系统科学 2025-06-17 Farid Mafi , Ladan Khoshnevisan , Mohammad Pirani , Amir Khajepour

The problem of multisensor multitarget state estimation in the presence of constant but unknown sensor biases is investigated. The classical approach to this problem is to augment the state vector to include the states of all the targets…

信号处理 · 电气工程与系统科学 2019-10-16 Jianxin Yi , Xianrong Wan , Deshi Li

Uncertain parameters of state-space models have always been a considerable problem. Consider Kalman filter (CKF) and desensitized Kalman filter (DKF) are two methods to solve this problem. Based on the sensitivity matrix respected to the…

信息论 · 计算机科学 2015-03-31 Taishan Lou

The Ensemble Kalman filter (EnKF) was introduced by Evensen in 1994 [10] as a novel method for data assimilation: state estimation for noisily observed time-dependent problems. Since that time it has had enormous impact in many application…

最优化与控制 · 数学 2013-04-08 Marco A. Iglesias , Kody J. H. Law , Andrew M. Stuart

Robust state estimation for highly dynamic motion of legged robots remains challenging, especially in dynamic, contact-rich scenarios. Traditional approaches often rely on binary contact states that fail to capture the nuances of partial…

机器人学 · 计算机科学 2026-05-15 Michael Baumgartner , David Müller , Agon Serifi , Ruben Grandia , Espen Knoop , Markus Gross , Moritz Bächer

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…

应用统计 · 统计学 2017-12-27 Andreas Martin Kettner , Mario Paolone

In many applications of state estimation, the process noise is colored; this case is addressed by applying the standard Kalman filter (KF) to dynamics that are augmented with the coloring dynamics. The present paper considers the case where…

系统与控制 · 电气工程与系统科学 2026-04-24 Mohammad Almuhaihi , Dennis Bernstein

The Kalman filter (KF) is used in a variety of applications for computing the posterior distribution of latent states in a state space model. The model requires a linear relationship between states and observations. Extensions to the Kalman…

Autonomous mobile robot competitions judge based on a robot's ability to quickly and accurately navigate the game field. This means accurate localization is crucial for creating an autonomous competition robot. Two common localization…

系统与控制 · 电气工程与系统科学 2023-10-18 Ethan Kou , Acshi Haggenmiller

This paper presents an adaptive Kalman filter for a linear dynamic system perturbed by an additive disturbance. The objective is to estimate both of the state and the unknown disturbance concurrently, while learning the disturbance as a…

最优化与控制 · 数学 2019-10-23 Taeyoung Lee