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State-of-the-art robotic perception systems have achieved sufficiently good performance using Inertial Measurement Units (IMUs), cameras, and nonlinear optimization techniques, that they are now being deployed as technologies. However, many…

The factor graph framework is a convenient modeling technique for robotic state estimation where states are represented as nodes, and measurements are modeled as factors. When designing a sensor fusion framework for legged robots, one often…

Robotics · Computer Science 2019-05-22 Ross Hartley , Maani Ghaffari Jadidi , Lu Gan , Jiunn-Kai Huang , Jessy W. Grizzle , Ryan M. Eustice

Legged robots, specifically quadrupeds, are becoming increasingly attractive for industrial applications such as inspection. However, to leave the laboratory and to become useful to an end user requires reliability in harsh conditions. From…

Robotics · Computer Science 2019-08-13 David Wisth , Marco Camurri , Maurice Fallon

We propose a novel state estimator for legged robots, STEP, achieved through a novel preintegrated foot velocity factor. In the preintegrated foot velocity factor, the usual non-slip assumption is not adopted. Instead, the end effector…

Robotics · Computer Science 2022-02-14 Yeeun Kim , Byeongho Yu , Eungchang Mason Lee , Joon-ha Kim , Hae-won Park , Hyun Myung

Legged robot locomotion is a challenging task due to a myriad of sub-problems, such as the hybrid dynamics of foot contact and the effects of the desired gait on the terrain. Accurate and efficient state estimation of the floating base and…

Robotics · Computer Science 2022-12-20 Varun Agrawal , Sylvain Bertrand , Robert Griffin , Frank Dellaert

This paper introduces a novel proprioceptive state estimator for legged robots based on a learned displacement measurement from IMU data. Recent research in pedestrian tracking has shown that motion can be inferred from inertial data using…

Robotics · Computer Science 2021-11-02 Russell Buchanan , Marco Camurri , Frank Dellaert , Maurice Fallon

We present visual inertial lidar legged navigation system (VILENS), an odometry system for legged robots based on factor graphs. The key novelty is the tight fusion of four different sensor modalities to achieve reliable operation when the…

Robotics · Computer Science 2024-10-08 David Wisth , Marco Camurri , Maurice Fallon

This paper presents a state-estimation solution for legged robots that uses a set of low-cost, compact, and lightweight sensors to achieve low-drift pose and velocity estimation under challenging locomotion conditions. The key idea is to…

Robotics · Computer Science 2025-07-23 Shuo Yang , Zixin Zhang , John Z. Zhang , Ibrahima Sory Sow , Zachary Manchester

Reliable odometry for legged robots without cameras or LiDAR remains challenging due to IMU drift and noisy joint velocity sensing. This paper presents a purely proprioceptive state estimator that uses only IMU and motor measurements to…

Robotics · Computer Science 2026-02-23 Minxing Sun , Yao Mao

Legged robots are becoming popular not only in research, but also in industry, where they can demonstrate their superiority over wheeled machines in a variety of applications. Either when acting as mobile manipulators or just as all-terrain…

Robotics · Computer Science 2019-04-04 Andrzej Reinke , Marco Camurri , Claudio Semini

In this paper, we focus on motion estimation dedicated for non-holonomic ground robots, by probabilistically fusing measurements from the wheel odometer and exteroceptive sensors. For ground robots, the wheel odometer is widely used in pose…

Robotics · Computer Science 2020-10-13 Mingming Zhang , Xingxing Zuo , Yiming Chen , Yong Liu , Mingyang Li

Aligning a robot's trajectory or map to the inertial frame is a critical capability that is often difficult to do accurately even though inertial measurement units (IMUs) can observe absolute roll and pitch with respect to gravity.…

Robotics · Computer Science 2023-09-13 Ryan Nemiroff , Kenny Chen , Brett T. Lopez

Legged robots carry an IMU, but the inertial solution drifts because consumer-grade IMUs are noisy. However, the feet create intermittent contacts with the environment that can be used to mitigate that drift. This report develops a sequence…

Robotics · Computer Science 2026-05-25 Frank Dellaert , Chiyun Noh , Varun Agrawal , Ayoung Kim

State estimation for legged robots remains challenging because legged odometry generally suffers from limited observability and therefore depends critically on measurement constraints to suppress drift. When exteroceptive sensors are…

Robotics · Computer Science 2026-04-01 Wanlei Li , Zichang Chen , Shilei Li , Xiaogang Xiong , Yunjiang Lou

In this letter, we present tightly coupled LiDAR-IMU-leg odometry, which is robust to challenging conditions such as featureless environments and deformable terrains. We developed an online learning-based leg kinematics model named the…

Robotics · Computer Science 2025-07-03 Taku Okawara , Kenji Koide , Aoki Takanose , Shuji Oishi , Masashi Yokozuka , Kentaro Uno , Kazuya Yoshida

Accurate proprioceptive odometry is fundamental for legged robot navigation in GPS-denied and visually degraded environments where conventional visual odometry systems fail. Current approaches face critical limitations: analytical filtering…

Robotics · Computer Science 2025-11-25 Changsheng Luo , Yushi Wang , Wenhan Cai , Mingguo Zhao

Legged robot navigation in unstructured and slippery terrains depends heavily on the ability to accurately identify the quality of contact between the robot's feet and the ground. Contact state estimation is regarded as a challenging…

Factor graph is a graph representing the factorization of a probability distribution function, and has been utilized in many autonomous machine computing tasks, such as localization, tracking, planning and control etc. We are developing an…

Robotics · Computer Science 2022-09-07 Yuhui Hao , Bo Yu , Qiang Liu , Shaoshan Liu , Yuhao Zhu

Our goal is to send legged robots into challenging, unstructured terrains that wheeled systems cannot traverse. Moreover, precise estimation of the robot's position and orientation in rough terrain is especially difficult. To address this…

Systems and Control · Electrical Eng. & Systems 2019-11-14 Shuo Yang , Hans Kumar , Zhaoyuan Gu , Xiangyuan Zhang , Matthew Travers , Howie Choset

Environments lacking geometric features (e.g., tunnels and long straight corridors) are challenging for LiDAR-based odometry algorithms because LiDAR point clouds degenerate in such environments. For wheeled robots, a wheel kinematic model…

Robotics · Computer Science 2025-04-24 Taku Okawara , Kenji Koide , Shuji Oishi , Masashi Yokozuka , Atsuhiko Banno , Kentaro Uno , Kazuya Yoshida
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