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Filtering and smoothing algorithms for linear discrete-time state-space models with skew-t-distributed measurement noise are proposed. The algorithms use a variational Bayes based posterior approximation with coupled location and skewness…

系统与控制 · 计算机科学 2018-11-28 Henri Nurminen , Tohid Ardeshiri , Robert Piché , Fredrik Gustafsson

In the detection of gravitational waves in space, during the science phase of the mission, the point ahead angle mechanism (PAAM) serves to steer a laser beam to compensate for the angle generated by the relative motion of the two…

天体物理仪器与方法 · 物理学 2024-11-27 Jinke Yang , Yong Xie , Wenlin Tang , Xindong Liang , Liang Zhang , Zhao Cui , Xue Wang , Haojie Li , Jianjun Jia , Yun Kau Lau

The application of neural networks in modeling dynamic systems has become prominent due to their ability to estimate complex nonlinear functions. Despite their effectiveness, neural networks face challenges in long-term predictions, where…

机器学习 · 计算机科学 2025-06-10 Parham Oveissi , Turibius Rozario , Ankit Goel

In this paper, state and noise covariance estimation problems for linear system with unknown multiplicative noise are considered. The measurement likelihood is modelled as a mixture of two Gaussian distributions and a Student's t…

信号处理 · 电气工程与系统科学 2023-08-29 Xingkai Yu , Ziyang Meng

A recursive state estimation procedure is derived for a linear time varying system with both parametric uncertainties and stochastic measurement droppings. This estimator has a similar form as that of the Kalman filter with intermittent…

系统与控制 · 计算机科学 2016-11-17 Tong Zhou

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

The extended Kalman filter is perhaps the most standard tool to estimate in real time the state of a dynamical system from noisy measurements of some function of the system, with extensive practical applications (such as position tracking…

最优化与控制 · 数学 2019-01-04 Yann Ollivier

Accurate state estimation requires careful consideration of uncertainty surrounding the process and measurement models; these characteristics are usually not well-known and need an experienced designer to select the covariance matrices. An…

机器学习 · 统计学 2025-07-18 Pardha Sai Krishna Ala , Ameya Salvi , Venkat Krovi , Matthias Schmid

Inertial and Doppler velocity log sensors are commonly used to provide the navigation solution for autonomous underwater vehicles (AUV). To this end, a nonlinear filter is adopted for the fusion task. The filter's process noise covariance…

机器人学 · 计算机科学 2022-12-20 Barak Or , Itzik Klein

The Kalman Filter (KF) parameters are traditionally determined by noise estimation, since under the KF assumptions, the state prediction errors are minimized when the parameters correspond to the noise covariance. However, noise estimation…

机器学习 · 计算机科学 2022-07-04 Ido Greenberg , Shie Mannor , Netanel Yannay

Kalman filtering is a classic state estimation technique used in application areas such as signal processing and autonomous control of vehicles. It is now being used to solve problems in computer systems such as controlling the voltage and…

系统与控制 · 电气工程与系统科学 2019-07-01 Yan Pei , Swarnendu Biswas , Donald S. Fussell , Keshav Pingali

State estimation in the presence of uncertain or data-driven noise distributions remains a critical challenge in control and robotics. Although the Kalman filter is the most popular choice, its performance degrades significantly when…

系统与控制 · 电气工程与系统科学 2025-04-01 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

A novel dynamic mode decomposition (DMD) method based on a Kalman filter is proposed. This paper explains the fast algorithm of the proposed Kalman filter DMD (KFDMD) in combination with truncated proper orthogonal decomposition for…

流体动力学 · 物理学 2018-11-09 Taku Nonomura , Hisaichi Shibata , Ryoji Takaki

This paper is concerned with the linear/nonlinear Kalman-like filtering problem under binary sensors. Since innovation represents new information in the sensor measurement and serves to correct the prediction for the Kalman-like filter…

系统与控制 · 电气工程与系统科学 2021-10-28 Zhongyao Hu , Bo Chen , Yuchen Zhang , Li Yu

The Derivative-free nonlinear Kalman Filter is proposed for state estimation and fault diagnosis in distributed parameter systems and particularly in dynamical systems described by partial differential equations of the nonlinear wave type.…

系统与控制 · 计算机科学 2013-11-05 Gerasimos G. Rigatos

Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the system. Filters refer to a class of data assimilation…

最优化与控制 · 数学 2011-10-13 C. E. A. Brett , K. F. Lam , K. J. H. Law , D. S. McCormick , M. R. Scott , A. M. Stuart

In this paper, we focus on sensor placement in linear dynamic estimation, where the objective is to place a small number of sensors in a system of interdependent states so to design an estimator with a desired estimation performance. In…

最优化与控制 · 数学 2020-05-18 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

The article is devoted to the problem of synthesis of observers of state variables for linear stationary objects operating under conditions of noise or disturbances in the measurement channel. The paper considers a fully observable linear…

系统与控制 · 电气工程与系统科学 2023-05-26 Alexey Bobtsov , Vladimir Virobyev , Nikolay Nikolaev , Anton Pyrkin , Romeo Ortega

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

This paper presents a novel Wasserstein distributionally robust control and state estimation algorithm for partially observable linear stochastic systems, where the probability distributions of disturbances and measurement noises are…

系统与控制 · 电气工程与系统科学 2024-06-05 Minhyuk Jang , Astghik Hakobyan , Insoon Yang