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A simple approach to gyro and accelerometer bias estimation is proposed. It does not involve Kalman filtering or similar formal techniques. Instead, it is based on physical intuition and exploits a duality between gimbaled and strapdown…

系统与控制 · 计算机科学 2013-07-02 Vasiliy M. Tereshkov

The paper investigates the problem of estimating the state of a time-varying system with a linear measurement model; in particular, the paper considers the case where the number of measurements available can be smaller than the number of…

系统与控制 · 电气工程与系统科学 2021-04-07 Guido Cavraro , Emiliano Dall'Anese , Joshua Comden , Andrey Bernstein

In this paper, we introduce a new iterative method which we call one step back approach: the main idea is to anticipate the consequence of the iterative computation per coordinate and to optimize on the choice of the sequence of the…

数值分析 · 计算机科学 2013-02-19 Dohy Hong

In this paper, we study the problem of estimating the state of a dynamic state-space system where the output is subject to quantization. We compare some classical approaches and a new development in the literature to obtain the filtering…

系统与控制 · 电气工程与系统科学 2021-12-16 Angel L. Cedeño , Ricardo Albornoz , Boris I. Godoy , Rodrigo Carvajal , Juan C. Agüero

We use statistical learning methods to construct an adaptive state estimator for nonlinear stochastic systems. Optimal state estimation, in the form of a Kalman filter, requires knowledge of the system's process and measurement uncertainty.…

机器学习 · 统计学 2014-11-05 Michael Busch , Jeff Moehlis

This paper deals with the problem of estimating the state of a linear time-invariant system in the presence of sporadically available measurements and external perturbations. An observer with a continuous intersample injection term is…

系统与控制 · 计算机科学 2020-11-06 Francesco Ferrante , Frédéric Gouaisbaut , Ricardo G. Sanfelice , Sophie Tarbouriech

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

We consider the Bayesian approach to the linear Gaussian inference problem of inferring the initial condition of a linear dynamical system from noisy output measurements taken after the initial time. In practical applications, the large…

系统与控制 · 电气工程与系统科学 2021-11-29 Elizabeth Qian , Jemima M. Tabeart , Christopher Beattie , Serkan Gugercin , Jiahua Jiang , Peter R. Kramer , Akil Narayan

Parameters of the mathematical model describing many practical dynamical systems are prone to vary due to aging or renewal, wear and tear, as well as changes in environmental or service conditions. These variabilities will adversely affect…

系统与控制 · 电气工程与系统科学 2022-07-13 Hang Geng , Mulugeta A. Haile , Huazhen Fang

This paper introduces an interval state estimation method for discrete-time bounded Jacobian nonlinear systems allying Luenberger-like observer with zonotope set computation. First, a robust observer is designed to obtain bounded-error and…

动力系统 · 数学 2025-09-22 Chi Xu , Zhenhua Wang , Nacim Meslem , Tarek Raissi , Yacine Chitour

The input-parameter-state estimation capabilities of a novel unscented Kalman filter is examined herein on both linear and nonlinear systems. The unknown input is estimated in two stages within each time step. Firstly, the predicted dynamic…

信号处理 · 电气工程与系统科学 2025-11-05 Marios Impraimakis , Andrew W. Smyth

This paper considers the problem of computing Bayesian estimates of both states and model parameters for nonlinear state-space models. Generally, this problem does not have a tractable solution and approximations must be utilised. In this…

机器学习 · 统计学 2020-12-15 Jarrad Courts , Johannes Hendriks , Adrian Wills , Thomas Schön , Brett Ninness

The mean field variational Bayes (VB) algorithm implemented in Stan is relatively fast and efficient, making it feasible to produce model-estimated official statistics on a rapid timeline. Yet, while consistent point estimates of parameters…

统计方法学 · 统计学 2024-07-08 Terrance D. Savitsky , Julie Gershunskaya

For additive actuator and sensor faults, we propose a systematic method to design a state-space fault estimation filter directly from Markov parameters identified from fault-free data. We address this problem by parameterizing a…

系统与控制 · 计算机科学 2017-08-31 Yiming Wan , Tamas Keviczky , Michel Verhaegen

Parameter estimation in linear errors-in-variables models typically requires that the measurement error distribution be known (or estimable from replicate data). A generalized method of moments approach can be used to estimate model…

统计方法学 · 统计学 2018-12-04 Linh Nghiem , Michael Byrd , Cornelis Potgieter

Control and state estimation procedures need to be robust against imprecisely known parameters, uncertainty in initial conditions, and external disturbances. Interval methods and other set-based techniques form the basis for the…

系统与控制 · 电气工程与系统科学 2025-10-22 Andreas Rauh , Marit Lahme , Simon Rohou , Luc Jaulin , Thach Ngoc Dinh , Tarek Raissi , Mohamed Fnadi

In this paper, we present an algorithm for learning time-correlated measurement covariances for application in batch state estimation. We parameterize the inverse measurement covariance matrix to be block-banded, which conveniently…

机器人学 · 计算机科学 2023-03-14 David J. Yoon , Timothy D. Barfoot

Problem of an adaptive state observer design for nonlinear system with unknown time-varying parameters and under condition of delayed measurements is considered. State observation problem was raised by many researchers (see for example Sanx…

最优化与控制 · 数学 2022-11-17 Olga Kozachek , Alexey Bobtsov , Nikolay Nikolaev

The single-scatter approximation is fundamental in many tomographic imaging problems including x-ray scatter imaging and optical scatter imaging for certain media. In all cases, noisy measurements are affected by both local scatter events…

图像与视频处理 · 电气工程与系统科学 2021-04-21 Michael R. Walker , Joseph A. O'Sullivan

We consider nonlinear inverse problems arising in the context of parameter identification for parabolic partial differential equations (PDEs). For stable reconstructions, regularization methods such as the iteratively regularized…