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In this article, the state estimation problems with unknown process noise and measurement noise covariances for both linear and nonlinear systems are considered. By formulating the joint estimation of system state and noise parameters into…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Hua Lan , Shijie Zhao , Jinjie Hu , Zengfu Wang , Jing Fu

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…

Optimization and Control · Mathematics 2019-10-23 Taeyoung Lee

Continuum robots, made from flexible materials with continuous backbones, have several advantages over traditional rigid robots. Some of them are the ability to navigate through narrow or confined spaces, adapt to irregular or changing…

Robotics · Computer Science 2023-08-09 Hend Abdelaziz , Ayman Nada , Hiroyuki Ishii , Haitham El-Hussieny

This paper introduces two new algorithms to accurately estimate the process noise covariance of a discrete-time Kalman filter online for robust orbit determination in the presence of dynamics model uncertainties. Common orbit determination…

Signal Processing · Electrical Eng. & Systems 2021-05-17 Nathan Stacey , Simone D'Amico

We consider state and parameter estimation for a dynamical system having both time-varying and time-invariant parameters. It has been shown that the robustness of the Markov Chain Monte Carlo (MCMC) algorithm for estimating time-invariant…

Computational Engineering, Finance, and Science · Computer Science 2022-10-18 Philippe Bisaillon , Brandon Robinson , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

This paper is considered with joint estimation of state and time-varying noise covariance matrices in non-linear stochastic state space models. We present a variational Bayes and Gaussian filtering based algorithm for efficient computation…

Methodology · Statistics 2013-02-05 Simo Särkkä Jouni Hartikainen

Structural identification and damage detection can be generalized as the simultaneous estimation of input forces, physical parameters, and dynamical states. Although Kalman-type filters are efficient tools to address this problem, the…

Applications · Statistics 2022-10-04 Daniz Teymouri , Omid Sedehi , Lambros S. Katafygiotis , Costas Papadimitriou

Precise user localization and tracking enhances energy-efficient and ultra-reliable low latency applications in the next generation wireless networks. In addition to computational complexity and data association challenges with…

Signal Processing · Electrical Eng. & Systems 2025-10-09 Abidemi Orimogunje , Kyeong-Ju Cha , Hyunwoo Park , Abdulahi A. Badrudeen , Sunwoo Kim , Dejan Vukobratovic

This paper introduces a novel Kalman filter framework designed to achieve robust state estimation under both process and measurement noise. Inspired by the Weighted Observation Likelihood Filter (WoLF), which provides robustness against…

Machine Learning · Statistics 2025-11-25 Weitao Liu

State estimation of dynamical systems is crucial for providing new decision-making and system automation information in different applications. However, the assumptions on the standard computational models for sensor measurements can be…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Aamir Hussain Chughtai , Arslan Majal , Muhammad Tahir , Momin Uppal

Estimating and reacting to external disturbances is of fundamental importance for robust control of quadrotors. Existing estimators typically require significant tuning or training with a large amount of data, including the ground truth, to…

Robotics · Computer Science 2022-05-31 Bingheng Wang , Zhengtian Ma , Shupeng Lai , Lin Zhao , Tong Heng Lee

Bayesian estimation is a vital tool in robotics as it allows systems to update the robot state belief using incomplete information from noisy sensors. To render the state estimation problem tractable, many systems assume that the motion and…

Robotics · Computer Science 2025-01-13 Miguel Saavedra-Ruiz , Steven A. Parkison , Ria Arora , James Richard Forbes , Liam Paull

This paper proposes an event-triggered variational Bayesian filter for remote state estimation with unknown and time-varying noise covariances. After presetting multiple nominal process noise covariances and an initial measurement noise…

Signal Processing · Electrical Eng. & Systems 2022-06-15 Xiaoxu Lv , Peihu Duan , Zhisheng Duan , Guanrong Chen , Ling Shi

The state estimation problem for nonlinear systems with stochastic uncertainties can be formulated in the Bayesian framework, where the objective is to replace the state completely by its probability density function. Without the…

Optimization and Control · Mathematics 2024-04-04 Lukas Ecker , Kurt Schlacher

A novel approach for vehicle tracking using a hybrid adaptive Kalman filter is proposed. The filter utilizes recurrent neural networks to learn the vehicle's geometrical and kinematic features, which are then used in a supervised learning…

Robotics · Computer Science 2023-04-05 Barak Or , Itzik Klein

The partially observed linear Gaussian system of stochastic differential equations with low noise in observations is considered. A kernel-type estimators are used for estimation of the quadratic variation of the derivative of the limit of…

Statistics Theory · Mathematics 2022-11-23 Yury A. Kutoyants

Moving horizon estimation (MHE) offers benefits relative to other estimation approaches by its ability to explicitly handle constraints, but suffers increased computation cost. To help enable MHE on platforms with limited computation power,…

Systems and Control · Electrical Eng. & Systems 2023-04-14 Yujia Yang , Chris Manzie , Ye Pu

Stochastic models in biomolecular contexts can have a state-dependent process noise covariance. The choice of the process noise covariance is an important parameter in the design of a Kalman Filter for state estimation and the theoretical…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Krishan Kumar Gola , Shaunak Sen

This paper is concerned with the problem of state estimation for discrete-time linear systems in the presence of additional (equality or inequality) constraints on the state (or estimate). By use of the minimum variance duality, the…

Optimization and Control · Mathematics 2021-12-08 Prabhat K. Mishra , Girish Chowdhary , Prashant G. Mehta

The paper deals with state estimation of a spatially distributed system given noisy measurements from pointwise-in-time-and-space threshold sensors spread over the spatial domain of interest. A Maximum A posteriori Probability (MAP)…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Giorgio Battistelli , Luigi Chisci , Nicola Forti , Stefano Gherardini