Closed-Form Inverse Kinematics for Continuum Manipulators

Inverse kinematics solutions for industrial robot manipulators with offset wrists

In this paper, the inverse kinematics solutions for 16 industrial 6-Degrees-of-Freedom (DOF) robot manipulators with offset wrists are solved analytically and numerically based on the existence of the closed form equations. A new numerical algorithm is proposed for the inverse kinematics of the robot manipulators that cannot be solved in closed form. In order to illustrate the performance of th...

Inverse Kinematics and Singularities of Manipulators with Offset Wrist

The double universal joint robot wrist can eliminate singularities which limit the performance of existing industrial robot wrists. Unfortunately, this singularity-free wrist has an offset which prevents decoupling of the position and orientation in the manipulator inverse kinematics problem. Closed-form solutions are difficult, if not impossible, to find. This paper solves the inverse position...

GMDH Type Neural Networks and Their Application to the Identification of the Inverse Kinematics Equations of Robotic Manipulators (RESEARCH NOTE)

Inverse Kinematics Resolution of Redundant Cooperative Manipulators Using Optimal Control Theory

The optimal path planning of cooperative manipulators is studied in the present research. Optimal Control Theory is employed to calculate the optimal path of each joint choosing an appropriate index of the system to be minimized and taking the kinematics equations as the constraints. The formulation has been derived using Pontryagin Minimum Principle and results in a Two Point Boundary Value Pr...

19 . Kinematics of Robot Manipulators in the Motor Algebra ∗

In the literature we find a variety of mathematical approaches for solving problems in robotics which we will review now briefly. Denavit and Hartenberg [60] introduced the mostly used kinematic notation for lower pair mechanisms based on matrix algebra, Walker [243] used the epsilon algebra for the treatment of the manipulator kinematics, Gu and Luh [99] utilized dual– matrices for computing t...