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We propose an effective method for solving the inverse kinematic problem of a specific model of 6-degree-of-freedom (6-DOF) robot manipulator using computer algebra. It is known that when the rotation axes of three consecutive rotational…

机器人学 · 计算机科学 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

We propose in this paper a unifying scheme for several algorithms from the literature dedicated to the solving of monotone inclusion problems involving compositions with linear continuous operators in infinite dimensional Hilbert spaces. We…

最优化与控制 · 数学 2017-05-08 Radu Ioan Bot , Ernö Robert Csetnek

In this paper, we develop rapidly convergent forward-backward algorithms for computing zeroes of the sum of finitely many maximally monotone operators. A modification of the classical forward-backward method for two general operators is…

最优化与控制 · 数学 2021-07-22 Paul-Emile Maingé

A method for inverse design of horizontal axis wind turbines (HAWTs) is presented in this paper. The direct solver for aerodynamic analysis solves the Reynolds Averaged Navier Stokes (RANS) equations, where the effect of the turbine rotor…

流体动力学 · 物理学 2017-03-17 Behnam Moghadassian , Anupam Sharma

In this paper, we propose a reflected forward-backward splitting algorithic framework for finding a zero of the sum of finitely many monotone op-erators, including maximally monotone operators, cocoercive operators, and monotone and…

最优化与控制 · 数学 2026-05-19 Haowen Zheng , Yongyu Fu , Qiao-Li Dong , Shuangbao Li

In this paper, we consider the inverse dynamic problem for the Dirac system on finite metric tree graphs. Our main goal is to recover the topology (connectivity) of a tree, lengths of edges, and a matrix potential function on each edge. We…

偏微分方程分析 · 数学 2024-07-26 Sergei Avdonin , Nina Avdonina , Olha Sus

We present a control strategy that applies inverse dynamics to a learned acceleration error model for accurate multirotor control input generation. This allows us to retain accurate trajectory and control input generation despite the…

机器人学 · 计算机科学 2020-11-03 Alexander Spitzer , Nathan Michael

This paper proposes a novel geometric method for analytically determining the base inertial parameters of robotic systems. The rigid body dynamics is reformulated using projective geometric algebra, leading to a new identification model…

机器人学 · 计算机科学 2026-03-05 Guangzhen Sun , Ye Ding , Xiangyang Zhu

This work investigates an application-driven co-design problem where the motion and motors of a six degrees of freedom robotic manipulator are optimized simultaneously, and the application is characterized by a set of tasks. Unlike the…

机器人学 · 计算机科学 2023-10-06 Adrian Stein , Yebin Wang , Yusuke Sakamoto , Bingnan Wang , Huazhen Fang

Parameter estimation in structural dynamics generally involves inferring the values of physical, geometric, or even customized parameters based on first principles or expert knowledge, which is challenging for complex structural systems. In…

计算工程、金融与科学 · 计算机科学 2025-04-08 Mingyuan Zhou , Haoze Song , Wenjing Ye , Wei Wang , Zhilu Lai

Robotic designs played an important role in recent advances by providing powerful robots with complex mechanics. Many recent systems rely on parallel actuation to provide lighter limbs and allow more complex motion. However, these emerging…

机器人学 · 计算机科学 2025-04-11 Virgile Batto , Ludovic de Matteis , Nicolas Mansard

In algorithms for solving optimization problems constrained to a smooth manifold, retractions are a well-established tool to ensure that the iterates stay on the manifold. More recently, it has been demonstrated that retractions are a…

数值分析 · 数学 2024-03-11 Axel Séguin , Gianluca Ceruti , Daniel Kressner

A low out-degree orientation directs each edge of an undirected graph with the goal of minimizing the maximum out-degree of a vertex. In the parallel batch-dynamic setting, one can insert or delete batches of edges, and the goal is to…

分布式、并行与集群计算 · 计算机科学 2026-02-23 Guy Blelloch , Andrew Brady , Laxman Dhulipala , Jeremy Fineman , Kishen Gowda , Chase Hutton

In this paper, we propose an inertial forward backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two operators being co-coercive. The algorithm is inspired by the accelerated gradient method…

计算机视觉与模式识别 · 计算机科学 2014-09-15 Dirk A. Lorenz , Thomas Pock

In this work, we start with a generic mathematical framework for the equations of motion (EOM) in flight mechanics with six degrees of freedom (6-DOF) for a general (not necessarily symmetric) fixed-wing aircraft. This mathematical…

系统与控制 · 电气工程与系统科学 2025-11-07 Osama A. Marzouk

Several publications are concerned with learning inverse kinematics, however, their evaluation is often limited and none of the proposed methods is of practical relevance for rigid-body kinematics with a known forward model. We argue that…

机器人学 · 计算机科学 2020-03-03 Tim von Oehsen , Alexander Fabisch , Shivesh Kumar , Frank Kirchner

We introduce a neural network architecture to solve inverse problems linked to a one-dimensional integral operator. This architecture is built by unfolding a forward-backward algorithm derived from the minimization of an objective function…

最优化与控制 · 数学 2021-06-01 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

This paper presents the kinematic analysis of the 3-PPPS parallel robot with an equilateral mobile platform and a U-shape base. The proposed design and appropriate selection of parameters allow to formulate simpler direct and inverse…

机器人学 · 计算机科学 2017-06-30 Damien Chablat , Luc Baron , Ranjan Jha

Forward and backward reaching inverse kinematics (FABRIK) is a heuristic inverse kinematics solver that is gradually applied to manipulators with the advantages of fast convergence and generating more realistic configurations. However,…

机器人学 · 计算机科学 2022-09-07 Zichun Xu , Yuntao Li , Xiaohang Yang , Zhiyuan Zhao , Jingdong Zhao , Hong Liu

The paper deals with the developing of the methodological backgrounds for the modeling and simulation of complex dynamical objects. Such backgrounds allow us to perform coordinate transformation and formulate the algorithm of its usage for…

分布式、并行与集群计算 · 计算机科学 2019-08-07 Roman Voliansky , Andri Pranolo