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This paper derives the extended Kalman filter (EKF) for continuous-time systems on matrix Lie groups observed through discrete-time measurements. By modeling the system noise on the Lie algebra and adopting a Stratonovich interpretation for…

系统与控制 · 电气工程与系统科学 2025-06-03 Finn G. Maurer , Erlend A. Basso , Henrik M. Schmidt-Didlaukies , Torleiv H. Bryne

Biomolecular systems are often modeled with partially known nonlinear stochastic dynamics, making state and parameter estimation a central challenge. While Kalman filtering techniques are widely used in this setting, their performance…

系统与控制 · 电气工程与系统科学 2026-04-28 Suryasnata Dash , Abhishek Dey

The fusion of camera sensor and inertial data is a leading method for ego-motion tracking in autonomous and smart devices. State estimation techniques that rely on non-linear filtering are a strong paradigm for solving the associated…

机器人学 · 计算机科学 2022-05-30 Arno Solin , Rui Li , Andrea Pilzer

The Kalman filter has been adopted in acoustic echo cancellation due to its robustness to double-talk, fast convergence, and good steady-state performance. The performance of Kalman filter is closely related to the estimation accuracy of…

音频与语音处理 · 电气工程与系统科学 2022-11-01 Dong Yang , Fei Jiang , Wei Wu , Xuefei Fang , Muyong Cao

A stochastic filter uses a series of measurements over time to produce estimates of unknown variables based on a dynamic model. For a quantum system, such an algorithm is provided by a quantum filter, which is also known as a stochastic…

量子物理 · 物理学 2017-07-25 Muhammad F. Emzir , Matthew J. Woolley , Ian R. Petersen

This paper focuses on designing a consistent and efficient filter for map-based visual-inertial localization. First, we propose a new Lie group with its algebra, based on which a novel invariant extended Kalman filter (invariant EKF) is…

机器人学 · 计算机科学 2022-04-27 Zhuqing Zhang , Yang Song , Shoudong Huang , Rong Xiong , Yue Wang

In this article, we propose a new filtering algorithm based in the Koopman operator, showing that a nonlinear filtering problem can be seen as an equivalent problem where the dynamics is infinite dimensional, but linear. Using Extended…

动力系统 · 数学 2025-11-07 Diego Olguín , Axel Osses , Héctor Ramírez

We propose a Neural-Enhanced Distributed Kalman Filter (NDKF) for multi-sensor state estimation in nonlinear systems. Unlike traditional Kalman filters that rely on explicit analytical models and assume centralized fusion, NDKF leverages…

系统与控制 · 电气工程与系统科学 2026-03-17 Siavash Farzan , Bennett Parisi

Attitude estimation is crucial in aerospace engineering, robotics, and virtual reality applications, but faces difficulties due to nonlinear system dynamics and sensor limitations. This paper addresses the challenge of attitude estimation…

信号处理 · 电气工程与系统科学 2024-10-22 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

This paper introduces a novel approach for modeling the dynamics of soft robots, utilizing a differentiable filter architecture. The proposed approach enables end-to-end training to learn system dynamics, noise characteristics, and temporal…

机器人学 · 计算机科学 2023-08-22 Xiao Liu , Shuhei Ikemoto , Yuhei Yoshimitsu , Heni Ben Amor

Data assimilation plays a key role in large-scale atmospheric weather forecasting, where the state of the physical system is estimated from model outputs and observations, and is then used as initial condition to produce accurate future…

统计方法学 · 统计学 2018-02-13 Azam Moosavi , Ahmed Attia , Adrian Sandu

Outliers can contaminate the measurement process of many nonlinear systems, which can be caused by sensor errors, model uncertainties, change in ambient environment, data loss or malicious cyber attacks. When the extended Kalman filter…

系统与控制 · 计算机科学 2019-04-02 Huazhen Fang , Mulugeta A. Haile , Yebin Wang

Fueled by applications in sensor networks, these years have witnessed a surge of interest in distributed estimation and filtering. A new approach is hereby proposed for the Distributed Kalman Filter (DKF) by integrating a local covariance…

系统与控制 · 计算机科学 2017-03-17 Ye Yuan , Ling Shi , Jun Liu , Zhiyong Chen , Hai-Tao Zhang , Jorge Goncalves

This paper introduces a novel proprioceptive state estimator for legged robots that combines model-based filters and deep neural networks. Recent studies have shown that neural networks such as multi-layer perceptron or recurrent neural…

机器人学 · 计算机科学 2024-10-28 Donghoon Youm , Hyunsik Oh , Suyoung Choi , Hyeongjun Kim , Jemin Hwangbo

We propose a new algorithm for an adaptive optics system control law which allows to reduce the computational burden in the case of an Extremely Large Telescope (ELT) and to deal with non-stationary behaviors of the turbulence. This…

天体物理仪器与方法 · 物理学 2015-06-17 Morgan Gray , Cyril Petit , Sergey Rodionov , Laurent Bertino , Marc Bocquet , Thierry Fusco

Nonlinear extensions of the Kalman filter (KF), such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are indispensable for state estimation in complex dynamical systems, yet the conditions for a nonlinear KF to…

系统与控制 · 电气工程与系统科学 2026-03-25 Shida Jiang , Jaewoong Lee , Shengyu Tao , Scott Moura

This paper proposes a novel localization framework based on collaborative training or federated learning paradigm, for highly accurate localization of autonomous vehicles. More specifically, we build on the standard approach of KalmanNet, a…

机器人学 · 计算机科学 2025-02-14 Nikos Piperigkos , Alexandros Gkillas , Christos Anagnostopoulos , Aris S. Lalos

Pose estimation is important for robotic perception, path planning, etc. Robot poses can be modeled on matrix Lie groups and are usually estimated via filter-based methods. In this paper, we establish the closed-form formula for the error…

机器人学 · 计算机科学 2022-06-22 Xinghan Li , Haodong Jiang , Xingyu Chen , He Kong , Junfeng Wu

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

最优化与控制 · 数学 2018-10-11 Wei Kang , Liang Xu

In this paper, we develop a \textcolor{black}{\emph{distributed}} algorithm to localize a network of robots moving arbitrarily in a bounded region. In the case of such mobile networks, the main challenge is that the robots may not be able…

机器人学 · 计算机科学 2017-03-21 Sam Safavi , Usman Khan