Vector model for solving the inverse kinematics problem in the system of external adaptive control of robotic manipulators

Описание

Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.1016/j.mechmachtheory.2022.104912

Ключевые слова: control system of robots, control theory and applications, high performance computing, information processes and systems, inverse kinematics, software technologies

Аннотация: A new approach that allows to solve the problems of forward and inverse kinematics for robotic manipulators is proposed by the authors. The approach is to represent the kinematic model of a robotic arm with six rotational joints in the form of a vector model. The first 4 vectors make their movements and turn in the same plane, becaПоказать полностьюuse of the geometric features of the robot. Thus, on the basis of a vector equation, a system of nonlinear algebraic equations was formed, which were solved by the numerical Newton method, at each iteration of which a system of linear algebraic equations was solved by the Seidel method. The algorithm was tested on a trajectory set in the form of an Archimedean spiral approximated by straight line segments. Trajectory was checked by a real robot KUKA KR6 R900 and it was shown that deviation between calculated and real position of flange point was less than 0.005 mm. It is shown that in comparison with the common Denavit–Hartenberg method the method proposed by the authors has an order of magnitude fewer mathematical operations (790 versus 52). © 2022

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Издание

Журнал: Mechanism and Machine Theory

Выпуск журнала: Vol. 174

Номера страниц: 104912

ISSN журнала: 0094114X

Издатель: Elsevier Ltd

Персоны

  • Pikalov I. (Reshetnev Siberian State University of Science and Technology, Krasnoyarsky Rabochy Av. 31, Krasnoyarsk, 660037, Russian Federation; Siberian Federal University, 79 Svobodny avenue, Krasnoyarsk, 660041, Russian Federation)
  • Spirin E. (Reshetnev Siberian State University of Science and Technology, Krasnoyarsky Rabochy Av. 31, Krasnoyarsk, 660037, Russian Federation; Siberian Federal University, 79 Svobodny avenue, Krasnoyarsk, 660041, Russian Federation)
  • Saramud M. (Reshetnev Siberian State University of Science and Technology, Krasnoyarsky Rabochy Av. 31, Krasnoyarsk, 660037, Russian Federation; Siberian Federal University, 79 Svobodny avenue, Krasnoyarsk, 660041, Russian Federation)
  • Kubrikov M. (Reshetnev Siberian State University of Science and Technology, Krasnoyarsky Rabochy Av. 31, Krasnoyarsk, 660037, Russian Federation)

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