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Kalman Filter requires the true parameters of the model and solves optimal state estimation recursively. Expectation Maximization (EM) algorithm is applicable for estimating the parameters of the model that are not available before Kalman…

Machine Learning · Computer Science 2021-05-26 Zhuangwei Shi

Sequential Bayesian filters in non-linear dynamic systems require the recursive estimation of the predictive and posterior distributions. This paper introduces a Bayesian filter called the adaptive kernel Kalman filter (AKKF). With this…

Signal Processing · Electrical Eng. & Systems 2023-04-12 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood

Simultaneous Input and State Estimation (SISE) enables the reconstruction of unknown inputs and internal states in dynamical systems, with applications in fault detection, robotics, and control. While various methods exist for linear…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Rodrigo A. González , Angel L. Cedeño

Kalman filter-based algorithms are fundamental for mobile robots, as they provide a computationally efficient solution to the challenging problem of state estimation. However, they rely on two main assumptions that are difficult to satisfy…

Kalman filters constitute a scalable and robust methodology for approximate Bayesian inference, matching first and second order moments of the target posterior. To improve the accuracy in nonlinear and non-Gaussian settings, we extend this…

Statistics Theory · Mathematics 2024-09-04 L. Wang , N. Nüsken

This paper investigates the observability of one of the most commonly used equivalent circuit models (ECMs) for lithium-ion batteries and presents a method to estimate the state of charge (SOC) in the presence of sensor biases, highlighting…

Systems and Control · Computer Science 2016-05-05 Shi Zhao , Stephen R. Duncan , David A. Howey

A Conventional centralized state estimators exhibit limited robustness in large-scale grids and face practical deployment hurdles. To overcome these challenges, this paper proposes a decentralized maximum generalized Student's t-kernel…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Jinhui Hu , Haiquan Zhao , Yi Peng

Knowledge of remaining battery charge is fundamental to electric vehicle deployment. Accurate measurements of state-of-charge (SOC) cannot be directly obtained, and estimation methods must be used instead. This requires both a good model of…

Systems and Control · Electrical Eng. & Systems 2023-11-29 Jasper Knox , Mark Blyth , Alastair Hales

The cubature Kalman filter (CKF), while theoretically rigorous for nonlinear estimation, often suffers performance degradation due to model-environment mismatches in practice. To address this limitation, we propose CKFNet-a hybrid…

Signal Processing · Electrical Eng. & Systems 2025-08-14 Jinhui Hu , Haiquan Zhao , Yi Peng

The traditional GNSS-aided inertial navigation system (INS) usually exploits the extended Kalman filter (EKF) for state estimation, and the initial attitude accuracy is key to the filtering performance. To spare the reliance on the initial…

Systems and Control · Electrical Eng. & Systems 2023-11-16 Wei Ouyang , Yutian Wang , Yuanxin Wu

A square root approach is considered for the problem of accounting for model noise in the forecast step of the ensemble Kalman filter (EnKF) and related algorithms. The primary aim is to replace the method of simulated, pseudo-random,…

Data Analysis, Statistics and Probability · Physics 2015-07-23 Patrick N. Raanes , Alberto Carrassi , Laurent Bertino

Recent progress in quantum computing is paving the way for the realization of early fault-tolerant quantum computers. To maximize the utility of these devices, it is important to develop quantum algorithms that match their capabilities and…

Quantum Physics · Physics 2023-10-02 Gumaro Rendon , Peter D. Johnson

For a Gaussian source under mean-squared error (MSE), classical transform coding is rate--distortion (RD) optimal: the Karhunen--Loeve transform (KLT) diagonalizes the covariance, reverse waterfilling allocates the bits, and scalar…

Information Theory · Computer Science 2026-05-18 Bumsu Park , Chanho Park , Youngmok Park , Namyoon Lee

It is known that the conventional estimators such as extended Kalman filter (EKF) and unscented Kalman filter (UKF) may provide favorable performance; However, they may not guarantee the robustness against model uncertainty and cyber…

Systems and Control · Electrical Eng. & Systems 2025-03-28 Tohid Kargar Tasooji , Sakineh Khodadadi

This paper presents a novel framework for state-of-charge estimation of rechargeable batteries in electric vehicles using a two-stage nonlinear estimator called the eXogenous Kalman filter (XKF). The nonlinear estimator consists of a…

Optimization and Control · Mathematics 2018-10-23 Agus Hasan , Martin Skriver , Tor Arne Johansen

Battery degradation is a major challenge in electric vehicles (EV) and energy storage systems (ESS). However, most degradation investigations focus mainly on estimating the state of charge (SOC), which fails to accurately interpret the…

Machine Learning · Computer Science 2025-04-22 Md Azizul Hoque , Babul Salam , Mohd Khair Hassan , Abdulkabir Aliyu , Abedalmuhdi Almomany , Muhammed Sutcu

This paper proposes a consensus-based distributed nonlinear filter with kernel mean embedding (KME). This fills with gap of posterior density approximation with KME for distributed nonlinear dynamic systems. To approximate the posterior…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Liping Guo , Jimin Wang , Yanlong Zhao , Ji-Feng Zhang

This paper introduces a unified approach for state estimation and control of nonlinear dynamic systems, employing the State-Dependent Riccati Equation (SDRE) framework. The proposed approach naturally extends classical linear quadratic…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Azra Redzovic , Adnan Tahirovic

Many filters have been proposed in recent decades for the nonlinear state estimation problem. The linearization-based extended Kalman filter (EKF) is widely applied to nonlinear industrial systems. As EKF is limited in accuracy and…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Chengling Fang , Jiang Liu , Songqing Ye , Ju Zhang

LiFePO4 batteries are widely used in electric vehicles and energy storage systems due to long cycle life and high safety performance. However, the OCV-SOC curve (OSC) of these batteries features a long plateau region, making state of charge…

Systems and Control · Electrical Eng. & Systems 2024-11-01 Daniyaer Paizulamu , Lin Cheng , Yingrui Zhuang , Helin Xu , Ning Qi , Song Ci