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We present LINS, a lightweight lidar-inertial state estimator, for real-time ego-motion estimation. The proposed method enables robust and efficient navigation for ground vehicles in challenging environments, such as feature-less scenes,…

Robotics · Computer Science 2020-05-07 Chao Qin , Haoyang Ye , Christian E. Pranata , Jun Han , Shuyang Zhang , Ming Liu

We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when the latter is used as a deterministic non-linear observer on Lie groups, for continuous-time systems with discrete observations. One of the main…

Systems and Control · Computer Science 2015-10-20 Axel Barrau , Silvère Bonnabel

We present a multisensor fusion framework for the onboard real-time navigation of a quadrotor in an indoor environment. The framework integrates sensor readings from an Inertial Measurement Unit (IMU), a camera-based object detection…

Drift-free localization is essential for autonomous vehicles. In this paper, we address the problem by proposing a filter-based framework, which integrates the visual-inertial odometry and the measurements of the features in the pre-built…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yanmei Jiao , Shoudong Huang , Yue Wang , Rong Xiong

It is known that invariance and equivariance properties for systems on Lie groups can be exploited in the design of high performance and robust observers and filters for real-world robotic systems. This paper proposes an analysis framework…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Robert Mahony , Jochen Trumpf

This paper concerns the estimation problem of attitude, position, and linear velocity of a rigid-body autonomously navigating with six degrees of freedom (6 DoF). The navigation dynamics are highly nonlinear and are modeled on the matrix…

Systems and Control · Electrical Eng. & Systems 2021-08-27 Hashim A. Hashim , Mohammed Abouheaf , Mohammad A. Abido

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

In GNSS-denied underwater environments, individual unmanned underwater vehicles (UUVs) suffer from unbounded dead-reckoning drift, making collaborative navigation crucial for accurate state estimation. However, the severe communication…

Robotics · Computer Science 2026-04-06 Shuyue Li , Miguel López-Benítez , Eng Gee Lim , Fei Ma , Qian Dong , Mengze Cao , Limin Yu , Xiaohui Qin

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…

Visual-inertial SLAM has been studied widely due to the advantage of its lightweight, cost-effectiveness, and rich information compared to other sensors. A multi-state constrained filter (MSCKF) and its Schmidt version have been developed…

Robotics · Computer Science 2021-09-30 Hongkyoon Byun , Jonghyuk Kim , Fernando Vanegas , Felipe Gonzalez

A monocular visual-inertial system (VINS), consisting of a camera and a low-cost inertial measurement unit (IMU), forms the minimum sensor suite for metric six degrees-of-freedom (DOF) state estimation. However, the lack of direct distance…

Robotics · Computer Science 2019-03-12 Tong Qin , Peiliang Li , Shaojie Shen

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Alan Yang , Stephen Boyd

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

While LiDAR and cameras are becoming ubiquitous for unmanned aerial vehicles (UAVs) but can be ineffective in challenging environments, 4D millimeter-wave (MMW) radars that can provide robust 3D ranging and Doppler velocity measurements are…

Robotics · Computer Science 2025-02-24 Jinwen Zhu , Jun Hu , Xudong Zhao , Xiaoming Lang , Yinian Mao , Guoquan Huang

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

Due to the advantages of high computational efficiency and small memory requirements, filter-based visual inertial odometry (VIO) has a good application prospect in miniaturized and payload-constrained embedded systems. However, the…

Robotics · Computer Science 2025-03-10 Xueyu Du , Lilian Zhang , Chengjun Ji , Xinchan Luo , Huaiyi Zhang , Maosong Wang , Wenqi Wu , Jun Mao

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

In this paper, we study in-depth the problem of online self-calibration for robust and accurate visual-inertial state estimation. In particular, we first perform a complete observability analysis for visual-inertial navigation systems…

Robotics · Computer Science 2022-02-01 Yulin Yang , Patrick Geneva , Xingxing Zuo , Guoquan Huang

This paper presents a dual stage EKF (Extended Kalman Filter)-based algorithm for the real-time and robust stereo VIO (visual inertial odometry). The first stage of this EKF-based algorithm performs the fusion of accelerometer and gyroscope…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Xiaogang Xiong , Wenqing Chen , Zhichao Liu , Qiang Shen

Various methods have been proposed for the nonlinear filtering problem, including the extended Kalman filter (EKF), iterated extended Kalman filter (IEKF), unscented Kalman filter (UKF) and iterated unscented Kalman filter (IUKF). In this…

Methodology · Statistics 2019-09-25 John T. Kent , Shambo Bhattacharjee , Weston R. Faber , Islam I. Hussein