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The realization space of geometric constraint systems is given by the vanishing locus of polynomials corresponding to natural geometric constraints. Such geometric constraint systems arise in many real-world scenarios such as structural…

Metric Geometry · Mathematics 2026-04-14 Matthias Adrian-Himmelmann

Developing feasible body trajectories for legged systems on arbitrary terrains is a challenging task. In this paper, we present a paradigm that allows to design feasible Center of Mass (CoM) and body trajectories in an efficient manner. In…

Robotics · Computer Science 2023-06-01 Abdelrahman Abdallah , Michele Focchi , Romeo Orsolino , Claudio Semini

This paper presents a novel online capable method for simultaneous estimation of human motion in terms of segment orientations and positions along with sensor-to-segment calibration parameters from inertial sensors attached to the body. In…

Systems and Control · Computer Science 2016-06-14 Bertram Taetz , Gabriele Bleser , Markus Miezal

High absolute accuracy is an essential prerequisite for a humanoid robot to autonomously and robustly perform manipulation tasks while avoiding obstacles. We present for the first time a kinematic model for a humanoid upper body…

Robotics · Computer Science 2024-05-28 Johannes Tenhumberg , Berthold Bäuml

In this paper we develop a stochastic heavy ball method for solving ill-posed inverse problems. The method updates the iterate using only a randomly selected equation at each iteration step while incorporating a momentum term into the…

Numerical Analysis · Mathematics 2026-05-14 Ruixue Gu , Qinian Jin

Over the decades, kinematic controllers have proven to be practically useful for applications like set-point and trajectory tracking in robotic systems. To this end, we formulate a novel safety-critical paradigm for kinematic control in…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Andrew Singletary , Shishir Kolathaya , Aaron D. Ames

We propose a novel unifying scheme for parallel implementation of articulated robot dynamics algorithms. It is based on a unified Lie group notation for deriving the equations of motion of articulated robots, where various well-known…

Robotics · Computer Science 2016-09-23 Yajue Yang , Yuanqing Wu , Jia Pan

Continuum manipulators have gained significant attention as a promising alternative to rigid manipulators, offering notable advantages in terms of flexibility and adaptability within intricate workspace. However, the broader application of…

Robotics · Computer Science 2024-10-29 Yinan Sun , Sai Wang

The inherent difficulty and limited scalability of collecting manipulation data using multi-fingered robot hand hardware platforms have resulted in severe data scarcity, impeding research on data-driven dexterous manipulation policy…

Robotics · Computer Science 2025-11-17 Wenbin Bai , Qiyu Chen , Xiangbo Lin , Jianwen Li , Quancheng Li , Hejiang Pan , Yi Sun

This work presents a computationally lightweight motion planner for over-actuated platforms. For this purpose, a general state-space model for mobile platforms with several kinematic chains is defined, which considers non-linearities and…

Robotics · Computer Science 2023-04-26 G. J. Paz-Delgado , C. J. Pérez-del-Pulgar , M. Azkarate , F. Kirchner , A. García-Cerezo

Gait phase-based control is a trending research topic for walking-aid robots, especially robotic lower-limb prostheses. Gait phase estimation is a challenge for gait phase-based control. Previous researches used the integration or the…

Robotics · Computer Science 2022-08-02 Xinxing Chen , Chuheng Chen , Yuxuan Wang , Bowen Yang , Teng Ma , Yuquan Leng , Chenglong Fu

Successfully achieving bipedal locomotion remains challenging due to real-world factors such as model uncertainty, random disturbances, and imperfect state estimation. In this work, we propose a novel metric for locomotive robustness -- the…

Robotics · Computer Science 2024-03-14 Maegan Tucker , Kejun Li , Aaron D. Ames

In this paper, tools to study forward invariance properties with robustness to dis- turbances, referred to as robust forward invariance, are proposed for hybrid dynamical systems modeled as hybrid inclusions. Hybrid inclusions are given in…

Dynamical Systems · Mathematics 2018-08-16 Jun Chai , Ricardo G. Sanfelice

This paper presents a novel three-degree-of-freedom (3-DOF) translational parallel manipulator (TPM) by using a topological design method of parallel mechanism (PM) based on position and orientation characteristic (POC) equations. The…

Robotics · Computer Science 2021-06-09 Huiping Shen , Yinan Zhao , Ju Li , Guanglei Wu , Damien Chablat

We present a novel general model that unifies the kinematics of constant curvature and constant twist continuum manipulators. Combining this kinematics with energy-based physics, we derive a linear mapping from actuator configuration to…

Robotics · Computer Science 2023-02-24 Bill Fan , Farhan Rozaidi , Capprin Bass , Gina Olson , Melinda Malley , Ross L Hatton

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 article presents a method for computing the largest singularity-free sphere (SFS) of a 6-6 Stewart-Gough platform manipulator (SGPM) over a specified orientation workspace. For a fixed orientation of the moving platform, the SFS is…

Robotics · Computer Science 2025-11-10 Bibekananda Patra , Sandipan Bandyopadhyay

Reducing the complexity of higher order problems can enable solving them in analytical ways. In this paper, we propose an analytic whole body motion generator for humanoid robots. Our approach targets inexpensive platforms that possess…

Robotics · Computer Science 2018-10-22 Grzegorz Ficht , Sven Behnke

The paper addresses kinematic and geometrical aspects of the Orthoglide, a three-DOF parallel mechanism. This machine consists of three fixed linear joints, which are mounted orthogonally, three identical legs and a mobile platform, which…

Robotics · Computer Science 2007-05-23 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

The identification of dynamic parameters in mechanical systems is important for improving model-based control as well as for performing realistic dynamic simulations. Generally, when identification techniques are applied only a subset of…

Robotics · Computer Science 2026-03-17 Miguel Díaz-Rodríguez , Vicente Mata , Angel Valera , Alvaro Page