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This paper describes a data-driven framework for approximate global optimization in which precomputed solutions to a sample of problems are retrieved and adapted during online use to solve novel problems. This approach has promise for…

Robotics · Computer Science 2016-05-17 Kris Hauser

A standard quadratic program is an optimization problem that consists of minimizing a (nonconvex) quadratic form over the unit simplex. We focus on reformulating a standard quadratic program as a mixed integer linear programming problem. We…

Optimization and Control · Mathematics 2018-10-05 Jacek Gondzio , E. Alper Yildirim

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

This paper presents an efficient learning-based method to solve the inverse kinematic (IK) problem on soft robots with highly non-linear deformation. The major challenge of efficiently computing IK for such robots is due to the lack of…

Robotics · Computer Science 2022-06-07 Guoxin Fang , Yingjun Tian , Zhi-Xin Yang , Jo M. P. Geraedts , Charlie C. L. Wang

Soft robots are interesting examples of hyper-redundancy in robotics, however, the nonlinear continuous dynamics of these robots and the use of hyper-elastic and visco-elastic materials makes modeling of these robots more complicated. This…

Robotics · Computer Science 2022-11-14 Mahboubeh Keyvanara , Arman Goshtasbi , Irene A. Kuling

The paper covers a formulation of the inverse quadratic programming problem in terms of unconstrained optimization where it is required to find the unknown parameters (the matrix of the quadratic form and the vector of the quasi-linear part…

Numerical Analysis · Computer Science 2017-01-09 E. G. Abramov

This paper proposes a redundancy resolution algorithm for a redundant manipulator based on dynamic programming. This algorithm can compute the desired joint angles at each point on a pre-planned discrete path in Cartesian space, while…

Robotics · Computer Science 2024-11-27 Zhihang Yin , Fa Wu , Ruofan Bian , Ziqian Wang , Jianmin Yang , Jiyong Tan , Dexing Kong

Hyper-redundant Robotic Manipulators (HRMs) offer great dexterity and flexibility of operation, but solving Inverse Kinematics (IK) is challenging. In this work, we introduce VO-FABRIK, an algorithm combining Forward and Backward Reaching…

Robotics · Computer Science 2024-03-11 Cristian Morasso , Daniele Meli , Yann Divet , Salvatore Sessa , Alessandro Farinelli

Solving the inverse kinematics problem is a fundamental challenge in motion planning, control, and calibration for articulated robots. Kinematic models for these robots are typically parametrized by joint angles, generating a complicated…

Robotics · Computer Science 2023-12-12 Filip Marić , Matthew Giamou , Adam W. Hall , Soroush Khoubyarian , Ivan Petrović , Jonathan Kelly

Piecewise constant curvature is a popular kinematics framework for continuum robots. Computing the model parameters from the desired end pose, known as the inverse kinematics problem, is fundamental in manipulation, tracking and planning…

Robotics · Computer Science 2023-05-03 Ke Qiu , Jingyu Zhang , Danying Sun , Rong Xiong , Haojian Lu , Yue Wang

This work addresses the inverse kinematics of serial robots using conformal geometric algebra. Classical approaches include either the use of homogeneous matrices, which entails high computational cost and execution time or the development…

Robotics · Computer Science 2022-03-29 Isiah Zaplana , Hugo Hadfield , Joan Lasenby

Inverse kinematic (IK) methods recover the parameters of the joints, given the desired position of selected elements in the kinematic chain. While the problem is well-defined and low-dimensional, it has to be solved rapidly, accounting for…

Machine Learning · Computer Science 2022-05-24 Raphael Bensadoun , Shir Gur , Nitsan Blau , Tom Shenkar , Lior Wolf

We present an analytical solution for the inverse kinematics (IK) of a robotic arm with one prismatic joint and four revolute joints. This 5-DoF design is a result of minimizing weight while preserving functionality of the device in a…

Robotics · Computer Science 2020-11-17 Vighnesh Vatsal , Guy Hoffman

Motion planning in high-dimensional space is a challenging task. In order to perform dexterous manipulation in an unstructured environment, a robot with many degrees of freedom is usually necessary, which also complicates its motion…

Robotics · Computer Science 2021-08-03 Chao Liu , Mark Yim

In this paper, the problem of finite horizon inverse optimal control (IOC) is investigated, where the quadratic cost function of a dynamic process is required to be recovered based on the observation of optimal control sequences. We propose…

Optimization and Control · Mathematics 2018-11-02 Yibei Li , Yu Yao , Xiaoming Hu

Tracking Cartesian motion with end~effectors is a fundamental task in robot control. For motion that is not known in advance, the solvers must find fast solutions to the inverse kinematics (IK) problem for discretely sampled target poses.…

Robotics · Computer Science 2023-05-15 Stefan Scherzinger , Arne Roennau , Rüdiger Dillmann

Inverse Kinematics (IK) remains a dynamic field of research, with various methods striving for speed and precision. Despite advancements, many IK techniques face significant challenges, including high computational demands and the risk of…

Robotics · Computer Science 2024-09-16 Zineb Benhmidouch , Saad Moufid , Aissam Ait Omar

Inverse kinematics - finding joint poses that reach a given Cartesian-space end-effector pose - is a common operation in robotics, since goals and waypoints are typically defined in Cartesian space, but robots must be controlled in joint…

Robotics · Computer Science 2022-08-30 Barrett Ames , Jeremy Morgan , George Konidaris

This paper investigates a constrained inverse kinematic (IK) problem that seeks a feasible configuration of an articulated robot under various constraints such as joint limits and obstacle collision avoidance. Due to the high-dimensionality…

Robotics · Computer Science 2024-06-18 Yu Chen , Yilin Cai , Jinyun Xu , Zhongqiang Ren , Guanya Shi , Howie Choset

Inverse Kinematics (IK) solves the problem of mapping from the Cartesian space to the joint configuration space of a robotic arm. It has a wide range of applications in areas such as computer graphics, protein structure prediction, and…

Robotics · Computer Science 2022-08-30 Chi-Kai Ho , Chung-Ta King