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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2014 Volume 14, Issue 1, Pages 88–95 (Mi isu490)

This article is cited in 2 papers

Mechanics

Dual matrix and biquaternion methods of solving direct and inverse kinematics problems of manipulators for example Stanford robot arm. II

E. I. Lomovtseva, Yu. N. Chelnokov

Saratov State University, 83, Astrahanskaya str., 410012, Saratov, Russia

Abstract: The methology of solving the inverce kinematics problem of manipulators by using biquaternion theory of kinematics control is shown on the example of Stanford robot arm. Solving of the inverce kinematics problem of Stanford robot arm is performed using the simplest control law. The analysis of numerical solution results is made. The efficacy of applying the theory of kinematics control for solving the inverce kinematics problem of manipulators is proved. Dual matrix and biquaternion methods of solving direct kinematics problem of manipulators were considered in [1].

Key words: robot-manipulator, direct kinematics problem, dual direction cosine matrix, biquaternion, quaternion, kinematic equations.

UDC: 531.38+681.5

DOI: 10.18500/1816-9791-2014-14-1-88-95



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