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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 paper presents a solution for the state estimation and control problems for a class of unconventional vertical takeoff and landing (VTOL) UAVs operating in forward-flight conditions. A tightly-coupled state estimation approach is used…

Robotics · Computer Science 2024-03-04 Mitchell Cohen , James Richard Forbes

In autonomous applications for mobility and transport, a high-rate and highly accurate vehicle-state estimation is achieved by fusing measurements of global navigation satellite systems (GNSS) and inertial sensors. The state estimation and…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Shuchen Liu , Kaizheng Wang , Dirk Abel

Observers for systems with Lie group symmetries are an active area of research that is seeing significant impact in a number of practical domains, including aerospace, robotics, and mechatronics. This paper builds on the theory of the…

Systems and Control · Electrical Eng. & Systems 2022-10-26 Hiya Gada , Pieter van Goor , Ravi Banavar , Robert Mahony

This paper proposes a state estimator for legged robots operating in slippery environments. An Invariant Extended Kalman Filter (InEKF) is implemented to fuse inertial and velocity measurements from a tracking camera and leg kinematic…

Robotics · Computer Science 2021-04-12 Sangli Teng , Mark Wilfried Mueller , Koushil Sreenath

Building upon the theory of Kalman Filtering on Lie Groups, this paper describes an Extended Kalman Filter and Smoother for Loosely Coupled Integration of GNSS/INS tailored for post-processing applications. The approach employs a dynamic…

Robotics · Computer Science 2022-10-07 Marcos R. Fernandes , Giorgio M. Magalhães , Yusef Cáceres , João B. R. do Val

In this paper, we focus on developing an Invariant Extended Kalman Filter (IEKF) for extended pose estimation for a noisy system with state equality constraints. We treat those constraints as noise-free pseudo-measurements. To this aim, we…

Systems and Control · Electrical Eng. & Systems 2024-04-17 Sven Goffin , Silvère Bonnabel , Olivier Brüls , Pierre Sacré

Autonomous Underwater Vehicles (AUVs) and Remotely Operated Vehicles (ROVs) are used for a wide variety of missions related to exploration and scientific research. Successful navigation by these systems requires a good localization system.…

Global Navigation Satellite Systems (GNSS) applications are often hindered by various sources of error, with multipath interference being one of the most challenging, particularly in urban environments. In this work, we build on previous…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Abdelgabar Ahmed , Tarig Ballal , Xing Liu , Mohanad Ahmed , Tareq Y. Al-Naffouri

The fusion between an inertial navigation system and global navigation satellite systems is regularly used in many platforms such as drones, land vehicles, and marine vessels. The fusion is commonly carried out in a model-based extended…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Barak Or , Itzik Klein

An extended Kalman filter (EKF) is developed on the special Euclidean group, SE(3) for geometric control of a quadrotor UAV. It is obtained by performing an extensive linearization on SE(3) to estimate the state of the quadrotor from noisy…

Optimization and Control · Mathematics 2016-05-10 Farhad A. Goodarzi , Taeyoung Lee

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

This paper investigates the distributed Kalman filter (DKF) for linear systems, with specific attention on measurement fusion, which is a typical way of information sharing and is vital for enhancing stability and improving estimation…

Signal Processing · Electrical Eng. & Systems 2025-04-14 Tuo Yang , Jiachen Qian , Zhisheng Duan , Zhiyong Sun

Unmanned aerial vehicles (UAVs) provide a novel means of extracting road and traffic information from video data. In particular, by analyzing objects in a video frame, UAVs can detect traffic characteristics and road incidents. Leveraging…

Applications · Statistics 2021-10-06 Cesar N. Yahia , Shannon E. Scott , Stephen D. Boyles , Christian G. Claudel

This paper presents a novel approach to address the inconsistency problem caused by observability mismatch in visual-inertial navigation systems (VINS). The key idea involves applying a linear time-varying transformation to the error-state…

Robotics · Computer Science 2025-10-28 Chungeng Tian , Ning Hao , Fenghua He

This article examines state estimation in discrete-time nonlinear stochastic systems with finite-dimensional states and infinite-dimensional measurements, motivated by real-world applications such as vision-based localization and tracking.…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Maxwell M. Varley , Timothy L. Molloy , Girish N. Nair

Localization in indoor environments is a technique which estimates the robot's pose by fusing data from onboard motion sensors with readings of the environment, in our case obtained by scan matching point clouds captured by a low-cost…

Systems and Control · Computer Science 2015-03-05 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

This letter proposes a reactive navigation strategy for recovering the altitude, translational velocity and orientation of Micro Aerial Vehicles. The main contribution lies in the direct and tight fusion of Inertial Measurement Unit (IMU)…

Robotics · Computer Science 2020-01-16 Shangkun Zhong , Pakpong Chirarattananon

This paper presents a cost-effective inertial pedestrian dead reckoning method for the bipedal robot in the GPS-denied environment. Each time when the inertial measurement unit (IMU) is on the stance foot, a stationary pseudo-measurement…

Robotics · Computer Science 2025-08-18 Jingran Zhang , Zhengzhang Yan , Yiming Chen , Zeqiang He , Jiahao Chen

Among algorithms used for sensor fusion for attitude estimation in unmanned aerial vehicles, the Extended Kalman Filter (EKF) is the most commonly used for estimation. In this paper, we propose a new version of H2 estimation called extended…

Optimization and Control · Mathematics 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya