PID controllers with delay in a problem of stabilization of robotic manipulators’ desired motions

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Abstract

Proportional-integro-differentiating (PID) controllers are widely used in solving control problems of technical systems, including mechanical ones. For this case, most of works are limited to the study of stabilization problem for steady motions and states; such studies are based on the analysis of model equations in a linear approximation. On the other hand, one of the urgent problems of controlled-motion mechanics is the problem of using PID controllers in tracking the trajectories of multi-link robotic manipulators with semi-global or global stabilization in a non-linear formulation. Practically little studied is the problem of justifying the applicability of such controllers taking into account possible delay in the feedback structure. This paper deals with such a problem. As an application of the theory developed in this paper, the control for a motion of a six-link manipulator is obtained.

About the authors

Aleksandr S. Andreev

Ulyanovsk State University

Email: asa5208@mail.ru
ORCID iD: 0000-0002-9408-0392

Ph. D. (Physics and Mathematics),  Head of the Department of Information Security and Control Theory

Russian Federation, 42 L. Tolstoy St., Ulyanovsk 432017, Russia

Lubov V. Kolegova

Ulyanovsk State University

Author for correspondence.
Email: lyubov_fedorova_1994@mail.ru
ORCID iD: 0000-0002-3160-0602

Assistant Professor, Department of Information Security and Control Theory

Russian Federation, 42 L. Tolstoy St., Ulyanovsk 432017, Russia

References

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  3. https://doi.org/10.1007/s12555-010-0307-4
  4. A. S. Andreev, O. A. Peregudova, “Nonlinear regulators in position stabilization problem of holonomic mechanical system”, Mechanics of Solids, 53:3 (2018), S22–S38.
  5. A. S. Andreev, O. A. Peregudova, “On global trajectory tracking control of robot manipulators in cylindrical phase space”, International Journal of Control, 93 (2020), 3003–3015. DOI: https://doi.org/10.1080/00207179.2019.1575526
  6. A. Andreev, O.Peregudova, “On global trajectory tracking control of robot manipulators with a delayed feedback”, Cybernetics and Physics, 10:4 (2021), 231–239. DOI: https://doi.org/10.35470/2226-4116-2021-10-4-231-239
  7. V. V. Prikhodko, A. A. Sobolev, A. V. Zhukov, E. M. Chavkin, A. N. Fomin, V. V. Levshchanov, S. V. Pavlov, V. V. Svetukhin, “Radiation-resistant robotic manipulator controlled by 6-DOF haptic control device to perform technological tasks in hot cells”, Journal of Physics: Conference Series, 2019. DOI: https://doi.org/10.1088/1742-6596/1353/1/012045

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Copyright (c) 2022 Andreev A.S., Kolegova L.V.

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