학술논문

Globally Optimal Inverse Kinematics as a Non-Convex Quadratically Constrained Quadratic Program
Document Type
Periodical
Source
IEEE Robotics and Automation Letters IEEE Robot. Autom. Lett. Robotics and Automation Letters, IEEE. 9(6):5998-6003 Jun, 2024
Subject
Robotics and Control Systems
Computing and Processing
Components, Circuits, Devices and Systems
Polynomials
Manipulators
Optimization
Kinematics
End effectors
Convergence
Weight measurement
optimization and optimal control
redundant robots
Language
ISSN
2377-3766
2377-3774
Abstract
We show how to compute globally optimal solutions to inverse kinematics by formulating the problem as a non-convex quadratically constrained quadratic program. Our approach makes solving inverse kinematics instances of generic redundant manipulators feasible. We demonstrate the performance on randomly generated designs and real-world robots with up to ten revolute joints. The same technique can be used for manipulator design by introducing kinematic parameters as variables.