Newton's method

Dynamic Modelling of Differential-Drive Mobile Robots using Lagrange and Newton-Euler Methodologies: A Unified Framework

Rached Dhaouadi Ahmad Abu Hatab

Citations: 225 • 2013

Newton-type algorithms for dynamics-based robot movement optimization

Sung-Hee Lee, Jung-Gon Kim, F.C. Park, Munsang Kim, J.E. Bobrow

Citations: 137 • 2005

Modified Newton's method applied to potential field-based navigation for mobile robots

Jing Ren, Kenneth McIsaac, Rajni V. Patel

Citations: 128 • 2006

A modified newton-euler method for dynamic computations in robot fault detection and control

Alessandro De Luca, Lorenzo Ferrajoli

Citations: 77 • 2009

An inverse kinematics method for robots after geometric parameters compensation

Gongfa Li, Fan Xiao, Xiaofeng Zhang, Bo Tao, Guozhang Jiang

Citations: 58 • 2022

Iterative learning control based on quasi-Newton methods

Konstantin Avrachenkov

Citations: 55 • 2002

Improved numerical solutions of inverse kinematics of robots

Krishna Kumar Gupta, Kazem Kazerounian

Citations: 52 • 2005

A nonsmooth Newton's method for discretized optimal control problems with state and control constraints

Matthias Gerdts, Martin Kunkel

Citations: 41 • 2008

A Nonsmooth Newton Method for Linear Model-Predictive Control in Tracking Tasks for a Mobile Robot With Obstacle Avoidance

Andreas Britzelmeier, Matthias Gerdts

Citations: 34 • 2020

Evaluation of Generalized Force Derivatives by Means of a Recursive Newton–Euler Approach

Corrado Guarino Lo Bianco

Citations: 33 • 2009

Collision Avoidance of Redundant Robotic Manipulators Using Newton’s Method

Mohammad Safeea, Richard Béarée, Pedro Neto

Citations: 29 • 2020

A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control

Mahmoud Muhammad Yahaya, Poom Kumam, Aliyu Muhammed Awwal, Sani Aji

Citations: 26 • 2021

Recursive Newton–Euler formulation for flexible dynamic manufacturing analysis of open-loop robotic systems

Yunn Lin Hwang

Citations: 25 • 2006

Simulation and analysis of flexibly jointed manipulators

S.H. Murphy, John T. Wen, G.M. Saridis

Citations: 25 • 1990

Finding all solutions to forward displacement analysis problem of 6-SPS parallel robot mechanism with chaos-iteration method

Luo You

Citations: 22 • 2003

Performances evaluation of inverse kinematic models of a compact bionic handling assistant

Inderjeet Singh, Othman Lakhal, Yacine Amara, Vincent Coelen, Pushparaj Mani Pathak, Rochdi Merzouki

Citations: 22 • 2017

Projection methods in flexible multibody dynamics. Part II: Dynamics and recursive projection methods

R. A. Wehage, Ahmed A. Shabana, Yunn Lin Hwang

Citations: 21 • 1992

Newton-type algorithms for robot motion optimization

Jung-Gon Kim, Jong Hyun Baek, F.C. Park

Citations: 21 • 2003

Mechanical system modelling using recurrent neural networks via quasi-Newton learning methods

Changyun Li, Lilai Yan

Citations: 21 • 1995

Implicit Time-Integration Simulation of Robots With Rigid Bodies and Cosserat Rods Based on a Newton–Euler Recursive Algorithm

Frédéric Boyer, Andrea Gotelli, Philipp Tempel, Vincent Lebastard, Federico Renda, Sébastien Briot

Citations: 21 • 2023