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This paper introduces a novel state estimation framework for robots using differentiable ensemble Kalman filters (DEnKF). DEnKF is a reformulation of the traditional ensemble Kalman filter that employs stochastic neural networks to model…

Robotics · Computer Science 2023-08-22 Xiao Liu , Geoffrey Clark , Joseph Campbell , Yifan Zhou , Heni Ben Amor

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

Goal: This paper presents an algorithm for accurately estimating pelvis, thigh, and shank kinematics during walking using only three wearable inertial sensors. Methods: The algorithm makes novel use of a constrained Kalman filter (CKF). The…

A recursive state estimation procedure is derived for a linear time varying system with both parametric uncertainties and stochastic measurement droppings. This estimator has a similar form as that of the Kalman filter with intermittent…

Systems and Control · Computer Science 2016-11-17 Tong Zhou

Estimating the impact intensity is one of the significant tasks of the legged robot. Accurate feedback of the impact may support the robot to plan a suitable and efficient trajectory to adapt to unknown complex terrains. Ordinarily, this…

Robotics · Computer Science 2022-04-05 Ba-Phuc Huynh , Joonbum Bae

Traditional tracking-by-detection systems typically employ Kalman filters (KF) for state estimation. However, the KF requires domain-specific design choices and it is ill-suited to handling non-linear motion patterns. To address these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Momir Adžemović , Predrag Tadić , Andrija Petrović , Mladen Nikolić

Many real-world applications require legged robots to be able to carry variable payloads. Model-based controllers such as model predictive control (MPC) have become the de facto standard in research for controlling these systems. However,…

Robotics · Computer Science 2025-06-17 Jonas Haack , Franek Stark , Shubham Vyas , Frank Kirchner , Shivesh Kumar

System identification poses a significant bottleneck to characterizing and controlling complex systems. This challenge is greatest when both the system states and parameters are not directly accessible leading to a dual-estimation problem.…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Matthew F. Singh , Chong Wang , Michael W. Cole , ShiNung Ching

Goal: This paper presents an algorithm for estimating pelvis, thigh, shank, and foot kinematics during walking using only two or three wearable inertial sensors. Methods: The algorithm makes novel use of a Lie-group-based extended Kalman…

Robotics · Computer Science 2021-03-23 Luke Wicent Sy , Nigel H. Lovell , Stephen J. Redmond

In this paper we address the simultaneous collision detection and force estimation problem for quadrupedal locomotion using joint encoder information and the robot dynamics only. We design an interacting multiple-model Kalman filter…

Robotics · Computer Science 2025-04-25 Ziyi Zhou , Stefano Di Cairano , Yebin Wang , Karl Berntorp

This paper introduces a novel approach for modeling the dynamics of soft robots, utilizing a differentiable filter architecture. The proposed approach enables end-to-end training to learn system dynamics, noise characteristics, and temporal…

Robotics · Computer Science 2023-08-22 Xiao Liu , Shuhei Ikemoto , Yuhei Yoshimitsu , Heni Ben Amor

In this paper we address the problem of estimating the posterior distribution of the static parameters of a continuous time state space model with discrete time observations by an algorithm that combines the Kalman filter and a particle…

Computation · Statistics 2019-05-22 Jian He , Asma Khedher , Peter Spreij

State estimation is a fundamental problem in control and signal processing, for which the Kalman Filter provides an optimal solution under linear dynamics, Gaussian noise, and known noise covariances. However, these assumptions often fail…

Machine Learning · Computer Science 2026-05-27 Vasileios Saketos , Ming Xiao

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

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He

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…

Full-body motion estimation of a human through wearable sensing technologies is challenging in the absence of position sensors. This paper contributes to the development of a model-based whole-body kinematics estimation algorithm using…

In this paper, we focus on sensor placement in linear dynamic estimation, where the objective is to place a small number of sensors in a system of interdependent states so to design an estimator with a desired estimation performance. In…

Optimization and Control · Mathematics 2020-05-18 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

A multi-joint enabled robot requires extensive mathematical calculations to determine the end effector's position with respect to the other connective joints involved and their corresponding frames in a specific coordinate system. If a…

Robotics · Computer Science 2024-08-01 Abid Shahriar

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