Robot manipulator end-effector orientation setting methods

Методы задания ориентации рабочего органа робота-манипулятора
В. Г. Хомченко
2019-03-01

Cartesian coordinatesEuler anglesend-effector orientationrobot manipulatorrotation matrices
The paper presents the approach expanding the possible ways of the manipulated object orientation setting, and consequently the robot manipulator end-effector required orientation when maintaining the process equipment through the use of the rotation matrixes 3*3 and one of the Euler angles systems. The algorithm of identifying the complete set of the permitted combinations of angles between the axes of the base coordinate system and the manipulated object one clearly specifying the robot manipulator end-effector desired orientation in the Cartesian coordinates selected space is proposed. Fifty four ways of the orientation defining based on the rotation matrixes 3*3 and six ways on the basis of the Euler angles were obtained. The specified angles combinations make it possible to simplify the integration of the coordinate systems related to the manipulated object and robot manipulator end-effector.
1
An algorithm identifies the complete set of permitted axis-angle combinations that uniquely specify the desired end-effector orientation in Cartesian space.
2
The approach yields 54 orientation-definition methods based on 3×3 rotation matrices and six methods based on Euler angles.
3
The paper expands methods for specifying manipulated-object and robot end-effector orientations using 3×3 rotation matrices and an Euler-angle system.
4
The resulting angle combinations simplify integration between coordinate systems attached to the manipulated object and the robot end-effector.

robot manipulator end-effector and manipulated object coordinate systems

methods and permitted angle combinations for specifying end-effector orientation in Cartesian space using 3×3 rotation matrices and Euler angles

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2019-03-01
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В. Г. Хомченко
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