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This paper introduces a framework for state estimation on a humanoid robot platform using only common proprioceptive sensors and knowledge of leg kinematics. The presented approach extends that detailed in [1] on a quadruped platform by…

Robotics · Computer Science 2014-12-11 Nicholas Rotella , Michael Bloesch , Ludovic Righetti , Stefan Schaal

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

Most nonlinear filters used in spacecraft navigation are based on a linear approximation of the optimal minimum mean square error estimator. The Unscented Kalman Filter (UKF) handles nonlinear dynamics through a sigma-point transform, but…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Chiran Cherian , Simone Servadio

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

This article introduces a new algorithm for nonlinear state estimation based on deterministic sigma point and EKF linearized framework for priori mean and covariance respectively. This method reduces the computation cost of UKF about 50%…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Milad Behvandi , Mohammad Azam Khosravi , Amir Abolfazl Suratgar

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

Unscented Kalman Filters (UKFs) have become popular in the research community. Most UKFs work only with Euclidean systems, but in many scenarios it is advantageous to consider systems with state-variables taking values on Riemannian…

Optimization and Control · Mathematics 2018-06-29 Henrique M. T. Menegaz , João Y. Ishihara , Hugo T. M. Kussaba

In literature, Extended Object Tracking (EOT) algorithms developed for autonomous driving predominantly provide obstacles state estimation in cartesian coordinates in the Vehicle Reference Frame. However, in many scenarios, state…

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

Multi-object tracking (MOT) is an essential technique for navigation in autonomous driving. In tracking-by-detection systems, biases, false positives, and misses, which are referred to as outliers, are inevitable due to complex traffic…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Shiqi Liu , Wenhan Cao , Chang Liu , Tianyi Zhang , Shengbo Eben Li

Facial landmark tracking plays a vital role in applications such as facial recognition, expression analysis, and medical diagnostics. In this paper, we consider the performance of the Extended Kalman Filter (EKF) and Unscented Kalman Filter…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Thoa Thieu , Roderick Melnik

This paper introduces an advanced Quaternion-based Unscented Kalman Filter (QUKF) for real-time, robust estimation of system states and external wrenches in assistive aerial payload transportation systems that engage in direct physical…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Hussein Naser , Hashim A. Hashim , Mojtaba Ahmadi

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

A turbulent boundary layer is an essential flow case of fundamental and applied fluid mechanics. However, accurate measurements of turbulent boundary layer parameters (e.g., friction velocity $u_\tau$ and wall shear $\tau_w$), are…

In this paper, we derive a new Kalman filter with probabilistic data association between measurements and states. We formulate a variational inference problem to approximate the posterior density of the state conditioned on the measurement…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Hanwen Cao , George J. Pappas , Nikolay Atanasov

Consider a space object in an orbit about the earth. An uncertain initial state can be represented as a point cloud which can be propagated to later times by the laws of Newtonian motion. If the state of the object is represented in…

Applications · Statistics 2019-09-25 John T. Kent , Shambo Bhattacharjee , Weston R. Faber , Islam I. Hussein

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

A commonly encountered problem is the tracking of a physical object, like a maneuvering ship, aircraft, land vehicle, spacecraft or animate creature carrying a wireless device. The sensor data is often limited and inaccurate observations of…

Systems and Control · Computer Science 2015-03-02 Kevin Judd

Rapid advances in designing cognitive and counter-adversarial systems have motivated the development of inverse Bayesian filters. In this setting, a cognitive 'adversary' tracks its target of interest via a stochastic framework such as a…

Optimization and Control · Mathematics 2024-05-02 Himali Singh , Kumar Vijay Mishra , Arpan Chattopadhyay

This paper introduces the ensemble directional Kalman filter (EnDKF), an ensemble-based Kalman filtering approach for pose tracking that jointly estimates an object's position and attitude using ideas from directional statistics. The EnDKF…

Machine Learning · Computer Science 2026-05-06 Tianlu Lu , Asif Sijan , Thomas Noh , Huaijin Chen , Andrey A. Popov