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Legged robots require knowledge of pose and velocity in order to maintain stability and execute walking paths. Current solutions either rely on vision data, which is susceptible to environmental and lighting conditions, or fusion of…

Robotics · Computer Science 2019-11-13 Ross Hartley , Maani Ghaffari , Ryan M. Eustice , Jessy W. Grizzle

This work proposes algorithms for reconstruction of closed-loop pedestrian trajectories based on two foot-mounted inertial measurement units (IMU). The first proposed algorithm allows calculation of a trajectory using measurements from only…

Systems and Control · Electrical Eng. & Systems 2019-08-21 I. A. Chistiakov , A. A. Nikulin , I. B. Gartseev

This paper derives a contact-aided inertial navigation observer for a 3D bipedal robot using the theory of invariant observer design. Aided inertial navigation is fundamentally a nonlinear observer design problem; thus, current solutions…

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

Real-world applications of bipedal robot walking require accurate, real-time state estimation. State estimation for locomotion over dynamic rigid surfaces (DRS), such as elevators, ships, public transport vehicles, and aircraft, remains…

Robotics · Computer Science 2021-09-06 Yuan Gao , Yan Gu

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

Inertial navigation systems for pedestrians are infrastructure-less and can achieve sub-meter accuracy in the short/medium period. However, when low-cost inertial measurement units (IMU) are employed for their implementation, they suffer…

Robotics · Computer Science 2015-03-30 Francesco Montorsi , Fabrizio Pancaldi , Giorgio M. Vitetta

Kalman filter-based Inertial Navigation System (INS) is a reliable and efficient method to estimate the position of a pedestrian indoors. Classical INS-based methodology which is called IEZ (INS-EKF-ZUPT) makes use of an Extended Kalman…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Liqiang Zhang , Kai Guo , Yu Liu

Understanding human motion is of critical importance for health monitoring and control of assistive robots, yet many human kinematic variables cannot be directly or accurately measured by wearable sensors. In recent years, invariant…

Robotics · Computer Science 2025-08-05 Zenan Zhu , Seyed Mostafa Rezayat Sorkhabadi , Yan Gu , Wenlong Zhang

This paper introduces a new invariant extended Kalman filter design that produces real-time state estimates and rapid error convergence for the estimation of the human body movement even in the presence of sensor misalignment and initial…

Robotics · Computer Science 2025-08-05 Zenan Zhu , Seyed Mostafa Rezayat Sorkhabadi , Yan Gu , Wenlong Zhang

Kalman filter-based algorithms are fundamental for mobile robots, as they provide a computationally efficient solution to the challenging problem of state estimation. However, they rely on two main assumptions that are difficult to satisfy…

Foot-mounted inertial sensors become popular in many indoor or GPS-denied applications, including but not limited to medical monitoring, gait analysis, soldier and first responder positioning. However, the foot-mounted inertial navigation…

Human-Computer Interaction · Computer Science 2021-09-21 Maoran Zhu , Yuanxin Wu , Shitu Luo

Autonomous mobile robots operating in novel environments depend critically on accurate state estimation, often utilizing visual and inertial measurements. Recent work has shown that an invariant formulation of the extended Kalman filter…

Robotics · Computer Science 2025-10-06 Abdullah Altawaitan , Jason Stanley , Sambaran Ghosal , Thai Duong , Nikolay Atanasov

In this paper we propose a novel accurate method for dead-reckoning of wheeled vehicles based only on an Inertial Measurement Unit (IMU). In the context of intelligent vehicles, robust and accurate dead-reckoning based on the IMU may prove…

Robotics · Computer Science 2019-04-15 Martin Brossard , Axel Barrau , Silvère Bonnabel

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 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

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

Inertial Navigation Systems (INS) are a key technology for autonomous vehicles applications. Recent advances in estimation and filter design for the INS problem have exploited geometry and symmetry to overcome limitations of the classical…

Robotics · Computer Science 2022-09-27 Alessandro Fornasier , Yonhon Ng , Robert Mahony , Stephan Weiss

Low-cost inertial measurement units (IMUs) are widely utilized in mobile robot localization due to their affordability and ease of integration. However, their complex, nonlinear, and time-varying noise characteristics often lead to…

Robotics · Computer Science 2026-02-04 Yaohua Liu , Qiao Xu , Binkai Ou

Algorithms for state estimation of humanoid robots usually assume that the feet remain flat and in a constant position while in contact with the ground. However, this hypothesis is easily violated while walking, especially for human-like…

Extended Kalman filtering is a common approach to achieve floating base estimation of a humanoid robot. These filters rely on measurements from an Inertial Measurement Unit (IMU) and relative forward kinematics for estimating the base…

Robotics · Computer Science 2022-05-17 Prashanth Ramadoss , Stefano Dafarra , Silvio Traversaro , Daniele Pucci
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