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The ensemble Kalman inversion (EKI) is a particle based method which has been introduced as the application of the ensemble Kalman filter to inverse problems. In practice it has been widely used as derivative-free optimization method in…

Numerical Analysis · Mathematics 2022-09-21 Simon Weissmann

To further improve Lithium-ion batteries (LiBs), a profound understanding of complex battery processes is crucial. Physical models offer understanding but are difficult to validate and parameterize. Therefore, automated machine-learning…

Chemical Physics · Physics 2024-10-28 Micha C. J. Philipp , Yannick Kuhn , Arnulf Latz , Birger Horstmann

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

Applications · Statistics 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

This paper extends the ensemble Kalman filter (EnKF) for inverse problems to identify trending model coefficients. This is done by repeatedly inflating the ensemble while maintaining the mean of the particles. As a benchmark serves a…

Optimization and Control · Mathematics 2020-01-30 M. Schwenzer , G. Visconti , M. Ay , T. Bergs , M. Herty , D. Abel

The problem of system identification for the Kalman filter, relying on the expectation-maximization (EM) procedure to learn the underlying parameters of a dynamical system, has largely been studied assuming that observations are sampled at…

Machine Learning · Computer Science 2024-06-28 Peter Halmos , Jonathan Pillow , David A. Knowles

In inverse problems, the goal is to estimate unknown model parameters from noisy observational data. Traditionally, inverse problems are solved under the assumption of a fixed forward operator describing the observation model. In this…

Numerical Analysis · Mathematics 2024-09-26 Simon Weissmann , Neil K. Chada , Xin T. Tong

We proposed a new estimation algorithm of extended Kalman filter (EKF) based on improved Thevenin model; Experiments were carried out to verify the validity with seven 4Ah lithium cobalt acid batteries in series. The experimental results…

Signal Processing · Electrical Eng. & Systems 2019-10-09 Peng Li

Accurate state estimation of large-scale lithium-ion battery packs is necessary for the advanced control of batteries, which could potentially increase their lifetime through e.g. reconfiguration. To tackle this problem, an enhanced…

Systems and Control · Computer Science 2017-09-25 Luis D. Couto , Michel Kinnaert

The Ensemble Kalman filter (EnKF) was introduced by Evensen in 1994 [10] as a novel method for data assimilation: state estimation for noisily observed time-dependent problems. Since that time it has had enormous impact in many application…

Optimization and Control · Mathematics 2013-04-08 Marco A. Iglesias , Kody J. H. Law , Andrew M. Stuart

Advanced battery management is to lithium-ion battery systems as the brain is to the human body. Its performance rests on the use of battery models that are both fast and accurate. However, mainstream equivalent circuit models and…

Systems and Control · Electrical Eng. & Systems 2022-11-14 Nikhil Biju , Huazhen Fang

Lithium-Ion (Li-I) batteries have recently become pervasive and are used in many physical assets. To enable a good prediction of the end of discharge of batteries, detailed electrochemical Li-I battery models have been developed. Their…

Machine Learning · Computer Science 2020-12-09 Ajaykumar Unagar , Yuan Tian , Manuel Arias-Chao , Olga Fink

Battery management systems may rely on mathematical models to provide higher performance than standard charging protocols. Electrochemical models allow us to capture the phenomena occurring inside a lithium-ion cell and therefore, could be…

Computational Engineering, Finance, and Science · Computer Science 2020-05-12 Andrea Pozzi , Xiangzhong Xie , Davide M Raimondo , René Schenkendorf

Diagnosing the internal state of Li-ion batteries is critical for battery research, operation of real-world systems, and prognostic evaluation of remaining lifetime. By using physics-based models to perform probabilistic parameter…

Data Analysis, Statistics and Probability · Physics 2026-04-06 Malik Hassanaly , Corey R. Randall , Peter J. Weddle , Paul J. Gasper , Conlain Kelly , Tanvir R. Tanim , Kandler Smith

Lithium-ion (Li-ion) batteries are ubiquitous in electric vehicles (EVs) as efficient energy storage devices. The reliable operation of Li-ion batteries depends critically on the accurate estimation of battery capacity. However,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yang Wang , Marta Zagorowska , Riccardo M. G. Ferrari

Parameter identification for electrochemical battery models has always been challenging due to the multitude of parameters involved, most of which cannot be directly measured. This paper evaluates the efficiency and optimality of three…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Feng Guo , Luis D. Couto , Guillaume Thenaisie

This paper presents a Bayesian parameter estimation approach and identifiability analysis for a lithium-ion battery model, to determine the uniqueness, evaluate the sensitivity and quantify the uncertainty of a subset of the model…

Systems and Control · Electrical Eng. & Systems 2023-09-04 Antti Aitio , Scott G. Marquis , Pedro Ascencio , David Howey

Physico-chemical continuum battery models are typically parameterized by manual fits, relying on the individual expertise of researchers. In this article, we introduce a computer algorithm that directly utilizes the experience of battery…

Data Analysis, Statistics and Probability · Physics 2023-02-08 Yannick Kuhn , Hannes Wolf , Arnulf Latz , Birger Horstmann

Accurate estimation of the internal states of lithium-ion batteries is key towards improving their management for safety, efficiency and longevity purposes. Various approaches exist in the literature in this context, among which designing…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Mira Khalil , Romain Postoyan , Stéphane Raël

Cloud-based battery management system (BMS) requires accurate terminal voltage measurement data to ensure optimal and safe charging of Lithium-ion batteries. Unfortunately, an adversary can corrupt the battery terminal voltage data as it…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Sanchita Ghosh , Tanushree Roy

This paper investigates the state estimation of a high-fidelity spatially resolved thermal- electrochemical lithium-ion battery model commonly referred to as the pseudo two-dimensional model. The partial-differential algebraic equations…

Systems and Control · Computer Science 2015-08-04 A. M. Bizeray , S. Zhao , S. R. Duncan , D. A. Howey