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A model based on Lamb's theory of gas lasers is applied to a He-Ne ring laser gyroscope in order to estimate and remove the laser dynamics contribution from the rotation measurements. The intensities of the counter-propagating laser beams…

Large frame ring laser gyroscopes are top sensitivity inertial sensors able to measure absolute angular rotation rate below $\rm \mathbf{prad/s}$ in few seconds. The development of ring laser based on a simple mechanical structure, usually…

仪器与探测器 · 物理学 2019-06-11 N. Beverini , G. Carelli , A. Di Virgilio , U. Giacomelli , E. Maccioni , F. Stefani , J. Belfi

The aim of this work is to develop a model-based methodology for monitoring lateral track irregularities based on the use of inertial sensors mounted on an in-service train. To this end, a gyroscope is used to measure the wheelset yaw…

计算工程、金融与科学 · 计算机科学 2020-03-12 S. Munoz , J. Ros , J. L. Escalona

The classic, two-component, crust-superfluid model of a neutron star can be formulated as a noise-driven, linear dynamical system, in which the angular velocities of the crust and superfluid are tracked using a Kalman filter applied to…

高能天体物理现象 · 物理学 2021-07-14 Patrick M. Meyers , Nicholas J. O'Neill , Andrew Melatos , Robin J. Evans

The Kalman filter is the most powerful tool for estimation of the states of a linear Gaussian system. In addition, using this method, an expectation maximization algorithm can be used to estimate the parameters of the model. However, this…

统计计算 · 统计学 2020-06-01 Tsuyoshi Ishizone , Kazuyuki Nakamura

We study causal waveform estimation (tracking) of time-varying signals in a paradigmatic atomic sensor, an alkali vapor monitored by Faraday rotation probing. We use Kalman filtering, which optimally tracks known linear Gaussian stochastic…

Inertial sensors stimulate very large interest, not only for their application but also for fundamental physics tests. Ring laser gyros, which measure angular rotation rate, are certainly among the most sensitive inertial sensors, with…

广义相对论与量子宇宙学 · 物理学 2020-08-10 Angela D. V. Di Virgilio , Nicolò Beverini , Giorgio Carelli , Donatella Ciampini , Francesco Fuso , Enrico Maccioni

In this paper we address the problem of estimating the posterior distribution of the static parameters of a continuous time state space model with discrete time observations by an algorithm that combines the Kalman filter and a particle…

统计计算 · 统计学 2019-05-22 Jian He , Asma Khedher , Peter Spreij

Filtering is concerned with online estimation of the state of a dynamical system from partial and noisy observations. In applications where the state is high dimensional, ensemble Kalman filters are often the method of choice. This paper…

动力系统 · 数学 2024-12-20 Daniel Sanz-Alonso , Nathan Waniorek

The filtering distribution captures the statistics of the state of a dynamical system from partial and noisy observations. Classical particle filters provably approximate this distribution in quite general settings; however they behave…

统计理论 · 数学 2025-02-10 Edoardo Calvello , Pierre Monmarché , Andrew M. Stuart , Urbain Vaes

We consider the problem of randomly choosing the sensors of a linear time-invariant dynamical system subject to process and measurement noise. We sample the sensors independently and from the same distribution. We measure the performance of…

系统与控制 · 电气工程与系统科学 2021-03-23 Christopher I. Calle , Shaunak D. Bopardikar

Automatic lane tracking involves estimating the underlying signal from a sequence of noisy signal observations. Many models and methods have been proposed for lane tracking, and dynamic targets tracking in general. The Kalman Filter is a…

计算机视觉与模式识别 · 计算机科学 2017-06-29 Jiawei Huang , Zhaowen Wang

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

Estimating parameters of a diffusion process given continuous-time observations of the process via maximum likelihood approaches or, online, via stochastic gradient descent or Kalman filter formulations constitutes a well-established…

统计方法学 · 统计学 2025-03-17 Jan Albrecht , Sebastian Reich

We propose a novel angular velocity estimation method to increase the robustness of Simultaneous Localization And Mapping (SLAM) algorithms against gyroscope saturations induced by aggressive motions. Field robotics expose robots to various…

This paper proposes a novel convex optimization framework for designing robust Kalman filters that guarantee a user-specified steady-state error while maximizing process and sensor noise. The proposed framework simultaneously determines the…

系统与控制 · 电气工程与系统科学 2024-03-06 Himanshu Prabhat , Raktim Bhattacharya

The performance of future observatories such as the Extremely Large Telescope is mainly limited by atmospheric turbulence and structural vibrations of the optical assembly. To further enhance the mitigation performance of adaptive optics,…

天体物理仪器与方法 · 物理学 2025-09-17 Pascal Jaufmann , Aaron Buck , Marco Zaiser , Jörg-Uwe Pott , Oliver Sawodny

Standard maximum likelihood or Bayesian approaches to parameter estimation for stochastic differential equations are not robust to perturbations in the continuous-in-time data. In this paper, we give a rather elementary explanation of this…

数值分析 · 数学 2023-12-20 Sebastian Reich

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

Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

机器人学 · 计算机科学 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott
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