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Accurate estimation of the dynamic states of a synchronous machine (e.g., rotor s angle and speed) is essential in monitoring and controlling transient stability of a power system. It is well known that the covariance matrixes of process…

Systems and Control · Computer Science 2017-02-06 Shahrokh Akhlaghi , Ning Zhou , Zhenyu Huang

Attitude estimation is crucial in aerospace engineering, robotics, and virtual reality applications, but faces difficulties due to nonlinear system dynamics and sensor limitations. This paper addresses the challenge of attitude estimation…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

Autonomous mobile robot competitions judge based on a robot's ability to quickly and accurately navigate the game field. This means accurate localization is crucial for creating an autonomous competition robot. Two common localization…

Systems and Control · Electrical Eng. & Systems 2023-10-18 Ethan Kou , Acshi Haggenmiller

This paper presents an Extended Kalman Filter (EKF) approach to localize a mobile robot with two quadrature encoders, a compass sensor, a laser range finder (LRF) and an omni-directional camera. The prediction step is performed by employing…

Robotics · Computer Science 2017-01-05 T. T. Hoang , P. M. Duong , N. T. T. Van , D. A. Viet , T. Q. Vinh

Accurate estimation of noise parameters is critical for optimal filter performance, especially in systems where true noise parameter values are unknown or time-varying. This article presents a quaternion left-invariant extended Kalman…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

Pose estimation is important for robotic perception, path planning, etc. Robot poses can be modeled on matrix Lie groups and are usually estimated via filter-based methods. In this paper, we establish the closed-form formula for the error…

Robotics · Computer Science 2022-06-22 Xinghan Li , Haodong Jiang , Xingyu Chen , He Kong , Junfeng Wu

Extended Kalman Filter (EKF) has been a popular approach to localization a mobile robot. However, the performance of the EKF and the quality of the estimation depends on the correct a priori knowledge of process and measurement noise…

Other Computer Science · Computer Science 2010-04-20 Ramazan Havangi , Mohammad Ali Nekoui , Mohammad Teshnehlab

This paper deals with the implementation of the extended robust Kalman filter (ERKF) which was developed considering uncertainties in the parameter matrices of the underlying state-space model. A key contribution of this work is the…

Systems and Control · Computer Science 2018-01-16 Gaurav Yengera , Roberto Inoue , Mundla Narasimhappa , Marco H. Terra

Accurate estimation and prediction of trajectory is essential for the capture of any high speed target. In this paper, an extended Kalman filter (EKF) is used to track the target in the first loop of the trajectory to collect data points…

This paper derives the extended Kalman filter (EKF) for continuous-time systems on matrix Lie groups observed through discrete-time measurements. By modeling the system noise on the Lie algebra and adopting a Stratonovich interpretation for…

Systems and Control · Electrical Eng. & Systems 2025-06-03 Finn G. Maurer , Erlend A. Basso , Henrik M. Schmidt-Didlaukies , Torleiv H. Bryne

This paper proposes a novel approach to improve the performance of the extended Kalman filter (EKF) for the problem of mobile robot localization. A fuzzy logic system is employed to continuous-ly adjust the noise covariance matrices of the…

Robotics · Computer Science 2021-05-07 Thi Thanh Van Nguyen , Manh Duong Phung , Thuan Hoang Tran , Quang Vinh Tran

This paper considers the use of two position receivers and an inertial measurement unit (IMU) to estimate the position, velocity, and attitude of a rigid body, collectively called extended pose. The measurement model consisting of the…

Robotics · Computer Science 2021-05-03 Natalia Pavlasek , Alex Walsh , James Richard Forbes

Autonomous surface vessels (ASVs) are increasingly vital for marine science, offering robust platforms for underwater mapping and inspection. Accurate state estimation, particularly of vehicle pose, is paramount for precise seafloor…

Robotics · Computer Science 2025-06-13 Derek Benham , Easton Potokar , Joshua G. Mangelson

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

Odometry estimation is crucial for every autonomous system requiring navigation in an unknown environment. In modern mobile robots, 3D LiDAR-inertial systems are often used for this task. By fusing LiDAR scans and IMU measurements, these…

The widely-used Extended Kalman Filter (EKF) provides a straightforward recipe to estimate the mean and covariance of the state given all past measurements in a causal and recursive fashion. For a wide variety of applications, the EKF is…

Robotics · Computer Science 2023-03-28 Stephanie Tsuei , Stefano Soatto , Paulo Tabuada , Mark B. Milam

This paper addresses the localization problem. The extended Kalman filter (EKF) is employed to localize a unicycle-like mobile robot equipped with a laser range finder (LRF) sensor and an omni-directional camera. The LRF is used to scan the…

Robotics · Computer Science 2016-11-30 Tran Hiep Dinh , Manh Duong Phung , Thuan Hoang Tran , Quang Vinh Tran

Extended Kalman filter (EKF) does not guarantee consistent mean and covariance under linearization, even though it is the main framework for robotic localization. While Lie group improves the modeling of the state space in localization, the…

Robotics · Computer Science 2019-01-28 Tsang-Kai Chang , Shengkang Chen , Ankur Mehta

Aiming to enhance the consistency and thus long-term accuracy of Extended Kalman Filters for terrestrial vehicle localization, this paper introduces the Manifold Error State Extended Kalman Filter (M-ESEKF). By representing the robot's pose…

The main contribution of this paper is an invariant extended Kalman filter (EKF) for visual inertial navigation systems (VINS). It is demonstrated that the conventional EKF based VINS is not invariant under the stochastic unobservable…

Robotics · Computer Science 2017-03-02 Teng Zhang , Kanzhi Wu , Daobilige Su , Shoudong Huang , Gamini Dissanayake
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