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In this paper, a distributed Kalman filtering (DKF) algorithm is proposed based on a diffusion strategy, which is used to track an unknown signal process in sensor networks cooperatively. Unlike the centralized algorithms, no fusion center…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Siyu Xie , Die Gan , Zhixin Liu

Orientation estimation for 3D objects is a common problem that is usually tackled with traditional nonlinear filtering techniques such as the extended Kalman filter (EKF) or the unscented Kalman filter (UKF). Most of these techniques assume…

Systems and Control · Computer Science 2016-08-19 Igor Gilitschenski , Gerhard Kurz , Simon J. Julier , Uwe D. Hanebeck

State estimation when only a partial model of a considered system is available remains a major challenge in many engineering fields. This work proposes a joint, square-root unscented Kalman filter to estimate states and model uncertainties…

Signal Processing · Electrical Eng. & Systems 2022-07-11 Ricarda-Samantha Götte , Julia Timmermann

This paper introduces a Gaussian Bayesian Network-based Extended Kalman Filter (GBN-EKF) for non-linear state estimators on stiff and ill-conditioned continuous-discrete stochastic systems, with a further analysis on systems with…

Optimization and Control · Mathematics 2025-11-05 Priyank Behera , C. Robert Kenley

The Kalman filter (KF) is an optimal linear state estimator for linear systems, and numerous extensions, including the extended Kalman filter (EKF), unscented Kalman filter (UKF), and cubature Kalman filter (CKF), have been developed for…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Shida Jiang , Junzhe Shi , Scott Moura

The optimal fusion of estimates in a Distributed Kalman Filter (DKF) requires tracking of the complete network error covariance, problematic in terms of memory and communication. A scalable alternative is to fuse estimates under unknown…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Eduardo Sebastián , Eduardo Montijano , Carlos Sagüés

Recent developments in the realm of state estimation of stochastic dynamic systems in the presence of non-Gaussian noise have induced a new methodology called the maximum correntropy filtering. The filters designed under the maximum…

Systems and Control · Computer Science 2017-09-06 Maria V. Kulikova

Non-Gaussian noise and the uncertainty of noise distribution are the common factors that reduce accuracy in dynamic state estimation of power systems (PS). In addition, the optimal value of the free coefficients in the unscented Kalman…

Signal Processing · Electrical Eng. & Systems 2025-04-11 Duc Viet Nguyen , Haiquan Zhao , Jinhui Hu , Le Ngoc Giang

In this work, we present an aided inertial navigation system for an autonomous underwater vehicle (AUV) using an unscented Kalman filter on manifolds (UKF-M). The inertial navigation estimate is aided by a Doppler velocity log (DVL), depth…

Robotics · Computer Science 2022-10-14 Stephen T. Krauss , Daniel J. Stilwell

The paper presents a comparison of performance of two Kalman Filters: extended Kalman filter (EKF) and unscented Kalman filter (UKF) in a hybrid Bluetooth-Low-Energy-ultra-wideband (BLE-UWB) based localization system. In the system, the…

Signal Processing · Electrical Eng. & Systems 2024-04-05 Marcin Kolakowski

Multi-modal densities appear frequently in time series and practical applications. However, they cannot be represented by common state estimators, such as the Extended Kalman Filter (EKF) and the Unscented Kalman Filter (UKF), which…

Systems and Control · Computer Science 2014-01-03 Sanket Kamthe , Jan Peters , Marc P Deisenroth

This paper considers the simultaneous state and unknown input estimation for continuous-discrete stochastic systems. Two types of approaches (with and without modeling of unknown inputs) which can address this issue are investigated. A…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Peng Lu

Typical iterated filters, such as the iterated extended Kalman filter (IEKF), iterated unscented Kalman filter (IUKF), and iterated posterior linearization filter (IPLF), have been developed to improve the linearization point (or density)…

Optimization and Control · Mathematics 2024-04-25 Anton Kullberg , Martin A. Skoglund , Isaac Skog , Gustaf Hendeby

The sustainability of modern cities highly depends on efficient water distribution management, including effective pressure control and leak detection and localization. Accurate information about the network hydraulic state is therefore…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Luis Romero-Ben , Paul Irofti , Florin Stoican , Vicenç Puig

In GNSS-denied underwater environments, individual unmanned underwater vehicles (UUVs) suffer from unbounded dead-reckoning drift, making collaborative navigation crucial for accurate state estimation. However, the severe communication…

Robotics · Computer Science 2026-04-06 Shuyue Li , Miguel López-Benítez , Eng Gee Lim , Fei Ma , Qian Dong , Mengze Cao , Limin Yu , Xiaohui Qin

This paper continues the research devoted to the design of numerically stable square-root implementations for the maximum correntropy criterion Kalman filtering (MCC-KF). In contrast to the previously obtained results, here we reveal the…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Maria V. Kulikova

The Kalman filter (KF) is a widely-used algorithm for tracking the latent state of a dynamical system from noisy observations. For systems that are well-described by linear Gaussian state space models, the KF minimizes the mean-squared…

Signal Processing · Electrical Eng. & Systems 2022-10-13 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

Natural disasters, such as hurricanes and typhoons, pose significant challenges to public safety and infrastructure. While government agencies rely on multi million dollar UAV systems for storm data collection and disaster response, smaller…

Dynamical Systems · Mathematics 2025-09-17 Ahmed A. Elgohary , Benjamin Gwinnell , Josh Augustine

Orbit determination (OD) is a fundamental problem in space surveillance and tracking, crucial for ensuring the safety of space assets. Real-world ground-based optical tracking scenarios often involve challenges such as limited measurement…

Applications · Statistics 2024-05-07 Yang Yang

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He