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This paper introduces two new algorithms to accurately estimate the process noise covariance of a discrete-time Kalman filter online for robust orbit determination in the presence of dynamics model uncertainties. Common orbit determination…

Signal Processing · Electrical Eng. & Systems 2021-05-17 Nathan Stacey , Simone D'Amico

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

Global Positioning System (GPS) and inertial measurement unit (IMU) sensors are commonly integrated using the extended Kalman filter (EKF), for achieving better navigation performance. However, because of nonlinearity, the performance of…

Signal Processing · Electrical Eng. & Systems 2020-12-17 Kwansik Park , Woohyun Kim , Jiwon Seo

In this paper, we introduce a novel approach for ground plane normal estimation of wheeled vehicles. In practice, the ground plane is dynamically changed due to braking and unstable road surface. As a result, the vehicle pose, especially…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Jiaxin Zhang , Wei Sui , Qian Zhang , Tao Chen , Cong Yang

The kinematics of many control systems, especially in the robotics field, naturally live on smooth manifolds. Most classical state-estimation algorithms, including the extended Kalman filter, are posed on Euclidean space. Although any…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Yixiao Ge , Pieter van Goor , Robert Mahony

The Kalman filter is the most powerful tool for estimation of the states of a linear Gaussian system. In addition, using this method, an expectation maximization algorithm can be used to estimate the parameters of the model. However, this…

Computation · Statistics 2020-06-01 Tsuyoshi Ishizone , Kazuyuki Nakamura

Real-world applications of bipedal robot walking require accurate, real-time state estimation. State estimation for locomotion over dynamic rigid surfaces (DRS), such as elevators, ships, public transport vehicles, and aircraft, remains…

Robotics · Computer Science 2021-09-06 Yuan Gao , Yan Gu

This letter introduces two multi-sensor state estimation frameworks for quadruped robots, built on the Invariant Extended Kalman Filter (InEKF) and Invariant Smoother (IS). The proposed methods, named E-InEKF and E-IS, fuse kinematics, IMU,…

The Extended Kalman Filter (EKF) is a well established technique for position and velocity estimation. However, the performance of the EKF degrades considerably in highly non-linear system applications as it requires local linearisation in…

Systems and Control · Computer Science 2016-11-30 Sanat Biswas , Li Qiao , Andrew Dempster

This paper describes a novel method for the estimation of the trajectory curve and orientation of a rigid body moving along a railway track. Compared to other recent developments in the literature, the presented approach has the significant…

Computational Engineering, Finance, and Science · Computer Science 2022-03-15 J. González-Carbajal , Pedro Urda , Sergio Muñoz , José L. Escalona

The ensemble Kalman filter (EnKF) is widely used for nonlinear and high-dimensional state estimation because it replaces complex covariance propagation with simple ensemble statistics. However, conventional EnKF implementations can become…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shida Jiang , Shengyu Tao , Zihe Liu , Scott Moura

LiDAR odometry is a pivotal technology in the fields of autonomous driving and autonomous mobile robotics. However, most of the current works focus on nonlinear optimization methods, and still existing many challenges in using the…

Robotics · Computer Science 2024-07-03 Wenlu Yu , Jie Xu , Chengwei Zhao , Lijun Zhao , Thien-Minh Nguyen , Shenghai Yuan , Mingming Bai , Lihua Xie

The fusion of camera sensor and inertial data is a leading method for ego-motion tracking in autonomous and smart devices. State estimation techniques that rely on non-linear filtering are a strong paradigm for solving the associated…

Robotics · Computer Science 2022-05-30 Arno Solin , Rui Li , Andrea Pilzer

Maintaining consistent uncertainty estimates in localization systems is crucial as the perceived uncertainty commonly affects high-level system components, such as control or decision processes. A method for constructing an…

Robotics · Computer Science 2024-08-20 Chuan Huang , Gustaf Hendeby , Isaac Skog

High fidelity behavior prediction of human drivers is crucial for efficient and safe deployment of autonomous vehicles, which is challenging due to the stochasticity, heterogeneity, and time-varying nature of human behaviors. On one hand,…

Machine Learning · Computer Science 2022-02-15 Letian Wang , Yeping Hu , Changliu Liu

Future cellular networks that utilize millimeter wave signals provide new opportunities in positioning and situational awareness. Large bandwidths combined with large antenna arrays provide unparalleled delay and angle resolution, allowing…

Signal Processing · Electrical Eng. & Systems 2021-08-04 Ossi Kaltiokallio , Yu Ge , Jukka Talvitie , Henk Wymeersch , Mikko Valkama

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

This paper presents some optimal real-time and post-processing estimators of vehicle position using odometer and map-matched GPS measurements. These estimators were based on a simple statistical error model of the odometer and the GPS which…

Applications · Statistics 2013-12-10 Cindie Andrieu , Guillaume Saint Pierre , Xavier Bressaud

Consistent localization of cooperative multi-robot systems during navigation presents substantial challenges. This paper proposes a fault-tolerant, multi-modal localization framework for multi-robot systems on matrix Lie groups. We…

Robotics · Computer Science 2025-05-05 Mahboubeh Zarei , Robin Chhabra

We study the mathematical properties of the Invariant Extended Kalman Filter (IEKF) when iterating on the measurement update step, following the principles of the well-known Iterated Extended Kalman Filter. This iterative variant of the…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Sven Goffin , Axel Barrau , Silvère Bonnabel , Olivier Brüls , Pierre Sacré