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Popular Bayes filters often apply linearization techniques, such as Taylor expansion or stochastic linear regression, to enable the use of the Kalman filter structure, but this can lead to large errors in strongly nonlinear systems. The…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Tianyi Zhang , Wenhan Cao , Shengbo Eben Li

A dynamic state estimation method of integrated natural gas and electric power systems (IGESs) in proposed. Firstly, the coupling model of gas pipeline networks and power systems by gas turbine units (GTUs) is established. Secondly, the…

Signal Processing · Electrical Eng. & Systems 2022-01-19 Liang Chen , Xinxin Hui , Songlin Gu , Manyun Huang , Yang Li

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

Power grid expansion planning requires making large investment decisions in the present that will impact the future cost and reliability of a system exposed to wide-ranging uncertainties. Extreme temperatures can pose significant challenges…

Optimization and Control · Mathematics 2024-05-30 Ramsey Rossmann , Mihai Anitescu , Julie Bessac , Michael Ferris , Mitchell Krock , James Luedtke , Line Roald

The Kalman filter and Rauch-Tung-Striebel (RTS) smoother are optimal for state estimation in linear dynamic systems. With nonlinear systems, the challenge consists in how to propagate uncertainty through the state transitions and output…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Simon Kuang , Xinfan Lin

Particle Marginal Metropolis-Hastings (PMMH) is a general approach to Bayesian inference when the likelihood is intractable, but can be estimated unbiasedly. Our article develops an efficient PMMH method that scales up better to higher…

Computation · Statistics 2023-05-10 David Gunawan , Pratiti Chatterjee , Robert Kohn

In recent years, the accuracy of gaze estimation techniques has gradually improved, but existing methods often rely on large datasets or large models to improve performance, which leads to high demands on computational resources. In terms…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Zhang Cheng , Yanxia Wang , Guoyu Xia

The interdependency of power systems and natural gas systems is being reinforced by the emerging power-to-gas facilities (PtGs), and the existing gas-fired generators. To jointly improve the efficiency and security under diverse…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Xiaodong Zheng , Yan Xu , Zhengmao Li , Haoyong Chen

This paper deals with the state estimation of stochastic models with continuous dynamics. The aim is to incorporate spectral differentiation methods into the solution to the Fokker-Planck equation in grid-based state estimation routine,…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jakub Matousek , Jindrich Dunik , Marek Brandner

This paper conveys attitude and rate estimation without rate sensors by performing a critical comparison, validated by extensive simulations. The two dominant approaches to facilitate attitude estimation are based on stochastic and…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Nikolaos Koumpis , Panagiotis Panagiotou , Ioannis Arvanitakis

Integrating measurements and historical data can enhance control systems through learning-based techniques, but ensuring performance and safety is challenging. Robust model predictive control strategies, like stochastic model predictive…

Systems and Control · Electrical Eng. & Systems 2023-03-28 J. Pohlodek , H. Alsmeier , B. Morabito , C. Schlauch , A. Savchenko , R. Findeisen

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

In this thesis we consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the direction of the forcing the height of the two barriers, one…

Probability · Mathematics 2018-03-06 Tommy Liu

We consider two nonlinear state estimation problems in a setting where an extended Kalman filter receives measurements from two sets of sensors via two channels (2C). In the stochastic-2C problem, the channels drop measurements…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Vicu-Mihalis Maer , Zsofia Lendek , Stefan Pirje , Domagoj Tolic , Antun Djuras , Vicko Prkacin , Ivana Palunko , Lucian Busoniu

In this letter, a new filtering technique to solve a nonlinear state estimation problem has been developed. It is well known that for a nonlinear system, the prior and posterior probability density functions (pdf) are non-Gaussian in…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Kundan Kumar , Shovan Bhaumik

The aim of the present paper is to provide necessary and sufficient conditions to maintain a stochastic coupled system, with porous media components and gradient-type noise in a prescribed set of constraints by using internal controls. This…

Analysis of PDEs · Mathematics 2022-02-08 Ioana Ciotir , Dan Goreac , Ionut Munteanu

Power systems with high penetration of variable renewable generation are vulnerable to periods with low generation. An alternative to retain high dispatchable generation capacity is electric energy storage that enables utilization of…

Systems and Control · Electrical Eng. & Systems 2022-07-29 Per Aaslid , Magnus Korpås , Michael M Belsnes , Olav B Fosso

Nonlinear state estimation (SE), with the goal of estimating complex bus voltages based on all types of measurements available in the power system, is usually solved using the iterative Gauss-Newton method. The nonlinear SE presents some…

Machine Learning · Computer Science 2022-09-09 Ognjen Kundacina , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

A position-dependent stochastic diffusion model of gating in ion channels is developed by considering the spatial variation of the diffusion coefficient between the closed and open states. It is assumed that a sensor which regulates the…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 Samuel Robert Vaccaro

Quantum measurement-induced gate based on entanglement with ideal cubic phase state used as a non-Gaussian resource is able to produce Shr\"odinger cat state in the form of two high fidelity ``copies'' of the target state on phase plane…

Quantum Physics · Physics 2023-03-22 A. V. Baeva , I. V. Sokolov
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