Advanced quaternion forward kinematics algorithm including overview of different methods for robot kinematics

Advanced Quaternion Forward Kinematics Algorithm Including Overview of Different Methods for Robot Kinematics

Formulation of proper and efficient algorithms for robot kinematics is essential for the analysis and design of serial manipulators. Kinematic modeling of manipulators is most often performed in Cartesian space. However, due to disadvantages of most widely used mathematical constructs for description of orientation such as Euler angles and rotational matrices, a need for unambiguous, compact, s...

Robot Kinematics: Forward and Inverse Kinematics

Kinematics studies the motion of bodies without consideration of the forces or moments that cause the motion. Robot kinematics refers the analytical study of the motion of a robot manipulator. Formulating the suitable kinematics models for a robot mechanism is very crucial for analyzing the behaviour of industrial manipulators. There are mainly two different spaces used in kinematics modelling ...

A Novel Method for Representing Robot Kinematics using Quaternion Theory

The traditional methods for representing forward kinematics of manipulators have been the homogeneous matrix in line with the D-H algorithm. In this paper a new method known as quaternion algebra is described and it is used for three dimensional representation and orientation in robot kinematics. This method is compared with homogeneous transform in terms of easiness of representation, computat...

Forward Position Kinematics of a Parallel Manipulator with New Architecture

The forward position kinematics (FPK) of a parallel manipulator with new architecture supposed to be used as a moving mechanism in a flight simulator project is discussed in this paper. The closed form solution for the FPK problem of the manipulator is first determined. It has, then, been shown that there are at most 24 solutions for FPK problem. This result has been verified by using other tec...

Quaternion kinematics for the error-state KF