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Counter-adversarial system design problems have lately motivated the development of inverse Bayesian filters. For example, inverse Kalman filter (I-KF) has been recently formulated to estimate the adversary's Kalman-filter-tracked estimates…

Optimization and Control · Mathematics 2023-08-11 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

Understanding human motion is of critical importance for health monitoring and control of assistive robots, yet many human kinematic variables cannot be directly or accurately measured by wearable sensors. In recent years, invariant…

Robotics · Computer Science 2025-08-05 Zenan Zhu , Seyed Mostafa Rezayat Sorkhabadi , Yan Gu , Wenlong Zhang

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

We propose a nonlinear observer to estimate the state (orientation and in-plane velocity vector) of the quadrotor, based on a drag-force-enhanced model. It is an alternative to recent works using a similar model together with an Extended…

Optimization and Control · Mathematics 2016-04-13 Philippe Martin , Ioannis Sarras

Inertial Navigation Systems (INS) are a key technology for autonomous vehicles applications. Recent advances in estimation and filter design for the INS problem have exploited geometry and symmetry to overcome limitations of the classical…

Robotics · Computer Science 2022-09-27 Alessandro Fornasier , Yonhon Ng , Robert Mahony , Stephan Weiss

Recent advances in counter-adversarial systems have garnered significant research attention to inverse filtering from a Bayesian perspective. For example, interest in estimating the adversary's Kalman filter tracked estimate with the…

Optimization and Control · Mathematics 2023-08-15 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

Precise localization with respect to a set of objects of interest enables mobile robots to perform various tasks. With the rise of edge devices capable of deploying deep neural networks (DNNs) for real-time inference, it stands to reason to…

Robotics · Computer Science 2026-02-03 Thomas Jantos , Giulio Delama , Stephan Weiss , Jan Steinbrener

Fast pose estimation (PE) is of vital importance for successful mission performance of agile autonomous robots. Global Positioning Systems such as GPS and GNSS have been typically used in fusion with Inertial Navigation Systems (INS) for…

This paper derives a contact-aided inertial navigation observer for a 3D bipedal robot using the theory of invariant observer design. Aided inertial navigation is fundamentally a nonlinear observer design problem; thus, current solutions…

Robotics · Computer Science 2019-05-22 Ross Hartley , Maani Ghaffari Jadidi , Jessy W. Grizzle , Ryan M. Eustice

Vehicle-to-everything communication system is a strong candidate for improving the driving experience and automotive safety by linking vehicles to wireless networks. To take advantage of the full benefits of vehicle connectivity, it is…

Information Theory · Computer Science 2021-11-12 Seong-Hwan Hyun , Jiho Song , Keunwoo Kim , Jong-Ho Lee , Seong-Cheol Kim

This paper describes a novel tracking filter, designed primarily for use in collision avoidance systems on autonomous surface vehicles (ASVs). The proposed methodology leverages real-time kinematic information broadcast via the Automatic…

Robotics · Computer Science 2021-11-29 Blake Cole , Gabriel Schamberg

This paper investigates the robot state estimation problem within a non-inertial environment. The proposed state estimation approach relaxes the common assumption of static ground in the system modeling. The process and measurement models…

Robotics · Computer Science 2024-03-26 Zijian He , Sangli Teng , Tzu-Yuan Lin , Maani Ghaffari , Yan Gu

Inertial Navigation Systems (INS) are algorithms that fuse inertial measurements of angular velocity and specific acceleration with supplementary sensors including GNSS and magnetometers to estimate the position, velocity and attitude, or…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Pieter van Goor , Tarek Hamel , Robert Mahony

This paper studies the distributed state estimation problem for a class of discrete-time stochastic systems with nonlinear uncertain dynamics over time-varying topologies of sensor networks. An extended state vector consisting of the…

Systems and Control · Computer Science 2018-09-12 Xingkang He , Xiaocheng Zhang , Wenchao Xue , Haitao Fang

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…

Invariant extended Kalman filter (InEKF) possesses excellent trajectory-independent property and better consistency compared to conventional extended Kalman filter (EKF). However, when applied to scenarios involving both global-frame and…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Jiale Han , Wei Ouyang , Maoran Zhu , Yuanxin Wu

With the recent advance of deep learning based object recognition and estimation, it is possible to consider object level SLAM where the pose of each object is estimated in the SLAM process. In this paper, based on a novel Lie group…

Robotics · Computer Science 2021-09-14 Yang Song , Zhuqing Zhang , Jun Wu , Yue Wang , Liang Zhao , Shoudong Huang

The extended Kalman filter (EKF) is a common state estimation method for discrete nonlinear systems. It recursively executes the propagation step as time goes by and the update step when a set of measurements arrives. In the update step,…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Jianzhu Huai , Xiang Gao

Radar-Inertial Odometry (RIO) based on the Extended Kalman Filter (EKF) relies on accurate extrinsic calibration between the radar and the Inertial Measurement Unit (IMU) and is sensitive to disturbances, as large linearization errors can…

This paper presents an algorithm to improve state estimation for legged robots. Among existing model-based state estimation methods for legged robots, the contact-aided invariant extended Kalman filter defines the state on a Lie group to…

Robotics · Computer Science 2026-01-29 Seokju Lee , Hyun-Bin Kim , Kyung-Soo Kim