Globally Optimal Solution to Inverse Kinematics of 7DOF Serial Manipulator

نویسندگان

چکیده

The Inverse Kinematics (IK) problem is concerned with finding robot control parameters to bring the into a desired position under kinematics and joint limit constraints. We present globally optimal solution IK for general serial 7DOF manipulator revolute joints polynomial objective function. show that kinematic constraints due rotations can be all generated by second-degree polynomials. This an important result since it significantly simplifies further step where we find Lasserre relaxations of nonconvex systems. demonstrate second relaxation sufficient solve problem. Our approach certifiably optimal. method on KUKA LBR IIWA are, in practice, able compute or certify infeasibility 99.9% tested poses. also same approach, are any generic (random) seven joints.

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ژورنال

عنوان ژورنال: IEEE robotics and automation letters

سال: 2022

ISSN: ['2377-3766']

DOI: https://doi.org/10.1109/lra.2022.3163444