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We consider the problem of state estimation in dynamical systems and propose a different mechanism for handling unmodeled system uncertainties. Instead of injecting random process noise, we assign different weights to measurements so that…

Information Theory · Computer Science 2020-09-08 Yaron Shulami , Daniel Sigalov

This paper presents a new filter for state-space models based on Bellman's dynamic-programming principle, allowing for nonlinearity, non-Gaussianity and degeneracy in the observation and/or state-transition equations. The resulting Bellman…

Methodology · Statistics 2025-02-18 Rutger-Jan Lange

Distributed sensor networks often include a multitude of sensors, each measuring parts of a process state space or observing the operations of a system. Communication of measurements between the sensor nodes and estimator(s) cannot…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Sanjay Chandrasekaran , Vishnu Varadan , Siva Vignesh Krishnan , Florian Dörfler , Mohammad H. Mamduhi

This report provides a brief historical evolution of the concepts in the Kalman filtering theory since ancient times to the present. A brief description of the filter equations its aesthetics, beauty, truth, fascinating perspectives and…

Methodology · Statistics 2015-03-17 Shyam Mohan M , Naren Naik , R. M. O. Gemson , M. R. Ananthasayanam

This paper presents an algorithm to improve state estimation for legged robots. Among existing model-based state estimation methods for legged robots, the contact-aided invariant extended Kalman filter defines the state on a Lie group to…

Robotics · Computer Science 2026-01-29 Seokju Lee , Hyun-Bin Kim , Kyung-Soo Kim

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…

Optimization and Control · Mathematics 2019-01-04 Yann Ollivier

In this paper, a novel linear algorithm is proposed for state estimation including bad data detection of power systems that are monitored both by conventional and synchrophasor measurements. Both types of data are treated simultaneously and…

Systems and Control · Electrical Eng. & Systems 2020-01-30 Aleksandar Jovicic , Gabriela Hug

Estimating the state of a dynamical system from partial and noisy observations is a ubiquitous problem in a large number of applications, such as probabilistic weather forecasting and prediction of epidemics. Particle filters are a widely…

Statistics Theory · Mathematics 2025-03-21 E. Calvello , J. A. Carrillo , F. Hoffmann , P. Monmarché , A. M. Stuart , U. Vaes

In this paper we consider the behavior of Kalman Filter state estimates in the case of distribution with heavy tails .The simulated linear state space models with Gaussian measurement noises were used. Gaussian noises in state equation are…

Statistics Theory · Mathematics 2015-12-08 Valentin Konakov , Pavel Mozgunov

The problem of state tracking with active observation control is considered for a system modeled by a discrete-time, finite-state Markov chain observed through conditionally Gaussian measurement vectors. The measurement model statistics are…

Systems and Control · Computer Science 2015-06-18 Daphney-Stavroula Zois , Marco Levorato , Urbashi Mitra

State estimation is crucial for legged robots as it directly affects control performance and locomotion stability. In this paper, we propose an Adaptive Invariant Extended Kalman Filter to improve proprioceptive state estimation for legged…

Robotics · Computer Science 2025-10-21 Kyung-Hwan Kim , DongHyun Ahn , Dong-hyun Lee , JuYoung Yoon , Dong Jin Hyun

One of the modern research lines in econometrics studies focuses on translating a wide variety of structural econometric models into their state-space form, which allows for efficient unknown dynamic system state and parameter estimations…

Optimization and Control · Mathematics 2024-02-20 Maria V. Kulikova , Julia V. Tsyganova , Gennady Yu. Kulikov

Motivated by the maneuvering target tracking with sensors such as radar and sonar, this paper considers the joint and recursive estimation of the dynamic state and the time-varying process noise covariance in nonlinear state space models.…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Hua Lan , Jinjie Hu , Zengfu Wang , Qiang Cheng

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…

Robotics · Computer Science 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

The Kalman filter combines forecasts and new observations to obtain an estimation which is optimal in the sense of a minimum average quadratic error. The Kalman filter has two main restrictions: (i) the dynamical system is assumed linear…

Statistical Mechanics · Physics 2009-10-31 D. Sornette , K. Ide

To obtain the accurate transient states of the big scale natural gas pipeline networks under the bad data and non-zero mean noises conditions, a robust Kalman filter-based dynamic state estimation method is proposed using the linearized gas…

Signal Processing · Electrical Eng. & Systems 2021-03-10 Liang Chen , Peng Jin , Jing Yang , Yang Li , Yi Song

System identification poses a significant bottleneck to characterizing and controlling complex systems. This challenge is greatest when both the system states and parameters are not directly accessible leading to a dual-estimation problem.…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Matthew F. Singh , Chong Wang , Michael W. Cole , ShiNung Ching

Traditional statements of the celebrated Kalman filter algorithm focus on the estimation of state, but not the output. For any outputs, measured or auxiliary, it is usually assumed that the posterior state estimates and known inputs are…

Optimization and Control · Mathematics 2016-10-26 Ameet S. Deshpande

Modern power systems face new operational hurdles due to the increasing adoption of inverter-coupled distributed energy resources, which impact system stability and control. Central to these challenges is the dynamic nature of grid…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Phuoc Sang Nguyen , Ghavameddin Nourbakhsh , Gerard Ledwich

Disturbance observers have been attracting continuing research efforts and are widely used in many applications. Among them, the Kalman filter-based disturbance observer is an attractive one since it estimates both the state and the…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Shilei Li , Dawei Shi , Yunjiang Lou , Wulin Zou , Ling Shi
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