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In this work, we address the problem of sensor selection for state estimation via Kalman filtering. We consider a linear time-invariant (LTI) dynamical system subject to process and measurement noise, where the sensors we use to perform…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Christopher I. Calle , Shaunak D. Bopardikar

Simultaneous Localization and Mapping (SLAM) is a process of concurrent estimation of the vehicle's pose and feature locations with respect to a frame of reference. This paper proposes a computationally cheap geometric nonlinear SLAM filter…

Robotics · Computer Science 2022-03-18 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy

We describe an application of the Invariant Extended Kalman Filter (IEKF) design methodology to the scan matching SLAM problem. We review the theoretical foundations of the IEKF and its practical interest of guaranteeing robustness to poor…

Systems and Control · Computer Science 2014-10-17 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

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

This paper investigates the observability of one of the most commonly used equivalent circuit models (ECMs) for lithium-ion batteries and presents a method to estimate the state of charge (SOC) in the presence of sensor biases, highlighting…

Systems and Control · Computer Science 2016-05-05 Shi Zhao , Stephen R. Duncan , David A. Howey

Inertial motion capture systems widely use low-cost IMUs to obtain the orientation of human body segments, but these sensors alone are unable to estimate link positions. Therefore, this research used a SLAM method in conjunction with…

Robotics · Computer Science 2024-02-16 Mohammad Mahdi Azarbeik , Hamidreza Razavi , Kaveh Merat , Hassan Salarieh

To deal with the degeneration caused by the incomplete constraints of single sensor, multi-sensor fusion strategies especially in LiDAR-vision-inertial fusion area have attracted much interest from both the industry and the research…

Robotics · Computer Science 2023-08-08 Bingqi Shen , Yuyin Chen , Fuzhang Han , Shuwei Dai , Rong Xiong , Yue Wang

This note presents a concise mathematical formulation of tightly-coupled LiDAR-Inertial Odometry within an iterated error-state Kalman filter framework using a VoxelMap representation. Rather than proposing a new algorithm, it provides a…

Robotics · Computer Science 2026-04-22 Zhihao Zhan

This paper presents an equivariant filter (EqF) transformation approach for visual--inertial navigation. By establishing analytical links between EqFs with different symmetries, the proposed approach enables systematic consistency design…

Robotics · Computer Science 2026-03-26 Chungeng Tian , Fenghua He , Ning Hao

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 presents a lightweight LiDAR-inertial-visual odometry system optimized for resource-constrained platforms. It integrates a degeneration-aware adaptive visual frame selector into error-state iterated Kalman filter (ESIKF) with…

Robotics · Computer Science 2025-01-24 Bingyang Zhou , Chunran Zheng , Ziming Wang , Fangcheng Zhu , Yixi Cai , Fu Zhang

Cooperative localization and target tracking are essential for multi-robot systems to implement high-level tasks. To this end, we propose a distributed invariant Kalman filter based on covariance intersection for effective multi-robot pose…

Robotics · Computer Science 2024-09-17 Haoying Li , Qingcheng Zeng , Haoran Li , Yanglin Zhang , Junfeng Wu

State estimation is crucial for legged robots as it directly affects control performance and locomotion stability. In this paper, we propose an Adaptive Invariant Extended Kalman Filter to improve proprioceptive state estimation for legged…

Robotics · Computer Science 2025-10-21 Kyung-Hwan Kim , DongHyun Ahn , Dong-hyun Lee , JuYoung Yoon , Dong Jin Hyun

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

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

Odometry estimation using light detection and ranging (LiDAR) and an inertial measurement unit (IMU), known as LiDAR-inertial odometry (LIO), often suffers from performance degradation in degenerate environments, such as long corridors or…

Robotics · Computer Science 2026-04-06 Seongjun Kim , Daehan Lee , Junwoo Hong , Sanghyun Park , Hyunyoung Jo , Soohee Han

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…

Due to the state trajectory-independent features of invariant Kalman filtering (InEKF), it has attracted widespread attention in the research community for its significantly improved state estimation accuracy and convergence under…

Robotics · Computer Science 2023-10-04 Xiaoyu Ye , Fujun Song , Zongyu Zhang , Rui Zhang , Qinghua Zeng

Visual-inertial odometry (VIO) systems traditionally rely on filtering or optimization-based techniques for egomotion estimation. While these methods are accurate under nominal conditions, they are prone to failure during severe…

Robotics · Computer Science 2022-10-04 Brandon Wagstaff , Emmett Wise , Jonathan Kelly

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
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