Development of the Method of Formation the Reference Signals for Electric Actuators of Manipulators with Redundant Degrees of Freedom. Part I
https://doi.org/10.17587/mau.23.23-30
Abstract
The solution of task of maintaining the dynamic accuracy of control of working tools of multilink manipulators (MM) when they move along arbitrary spatial trajectories is presented in this paper. In this case, constructive restrictions in all degrees of freedom (DoF) of manipulators and special cases of location of their links are taken into account. These special (singular) positions are characterized by ambiguity in solving inverse kinematics problem of these MM. Maintaining of control accuracy is proposed to be ensured by excluding the enter of all DoFs of manipulators to the restrictions, as well as excluding the enter of their working tools to the boundaries of the working area. This is accomplished by using a redundant DoF when approaching these undesirable positions. In the first part of the article, the features of the new solution of the inverse kinematics problem are considered and singular positions for 6-DoF manipulators with PUMA kinematic schemes are described. The presented solution of the inverse kinematics problem takes into account various combinations of genera- lized coordinates of the MM, which ensure the movement of their working tools to the specified positions with the required spatial orientation. This solution has low computational complexity compared to other known methods. This allows the use of low-power microprocessor computers to control the MM. The results of the performed mathematical simulation confirmed the high efficiency of using the proposed approach to the contour control of the MM.
About the Authors
V. F. Filaretov
Institute of Automation and Control Processes FEB RAS
Russian Federation
Russian Federation
Vladivostok, 690041
A. S. Gubankov
Institute of Automation and Control Processes FEB RAS; Institute of Marine Technology Problems FEB RAS
Russian Federation
Russian Federation
Vladivostok, 690041
Vladivostok, 690091
I. V. Gornostaev
Institute of Automation and Control Processes FEB RAS; Institute of Marine Technology Problems FEB RAS
Russian Federation
Russian Federation
Vladivostok, 690041
Vladivostok, 690091
References
1. Filaretov V. F., Zuev A. V., Gubankov A. S. The development of a robotics system for machining nonrigid spatial composite parts for helicopters, Izvestiya VUZov, Mashinostroenie, Specialnyj vypusk "Specialnaya robototekhnika i mekhatronika", 2011, pp. 67—75 (in Russian).
2. Filaretov V. F., Yukhimets D. A., Zuev A. V., Gubankov A. S., Mursalimov E. Sh. The method of development of combination of three-dimensional models of processed details with their CADmodels at the presence of deformations, Problemy mashinostroeniya i avtomatizacii, 2016, no. 3, pp. 60—69.
3. Gubankov A., Gornostaev I. Development of method of forming signals for the actuators of manipulators with redundant degrees of mobility, Proceedings of Int. Conf. on Industrial Engineering, Applications and Manufacturing, St. Petersburg, Russia, 2017, pp. 1—4.
4. Yahya S., Moghavvemi M., Mohamed H. A. F. Redundant manipulators kinematics inversion, Scientific Research and Essays, 2011, iss. 26, vol. 6, pp. 5462—5470.
5. Filaretov V. F., Gubankov A. S., Gornostaev I. V., Konoplin A. Yu. Development of formation method of program control signals of manipulators installed on underwater vehicles, Podvodnye issledovaniya i robototekhnika, 2018, vol. 25, no. 1, pp. 30—37 (in Russian).
6. Filaretov V., Gubankov A., Gornostaev I., Konoplin A. Synthesis Method of Reference Control Signals for Manipulators Installed on Autonomous Underwater Vehicles, Proceedings of the Int. Russian Automation Conf., Sochi, Russia, 2019, pp. 1—6.
7. Filaretov V. F., Alekseev Yu. K., Lebedev A. V. Underwater robot control systems, Moscow, Kruglyj god, 2001, 288 p. (in Russian).
8. Fu. K., Gonzalez R., Lee K. Robotics: control, sensing, vision, and intelligence, Moscow, Mir, 1989, 624 p. (in Russian).
9. Gong M., Li X., Zhang L. Analytical Inverse Kinematics and Self-Motion Application for 7-DOF Redundant Manipulator, IEEE Access, 2019, vol. 7, pp. 18662—18674.
10. Lu Sh., Gu Y., Zhao J., Jiang L. An Iterative Calculation Method for Solve the Inverse Kinematics of a 7-DOF Robot with Link Offset, Lecture Notes in Computer Science, 2017, vol. 29, no. 4, pp. 729—739.
11. Wan J., Wu H. T., Ma R., Zhang L. A study on avoiding joint limits for inverse kinematics of redundant manipulators using improved clamping weighted least-norm method, Journal of Mechanical Science and Technology, 2018, vol. 32, no. 3, pp. 1367—1378.
12. Toshani H., Farrokhi M. Real-time inverse kinematics of redundant manipulators using neural networks and quadratic programming: A Lyapunov-based approach, Robotics and Autonomous Systems, 2014, vol. 62, no. 6, pp. 766—781.
13. Koker R. A neuro-simulated annealing approach to the inverse kinematics solution of redundant robotic manipulators, Engineering with Computers, 2013, pp. 507—515.
14. Koker R. A genetic algorithm approach to a neuralnetwork-based inverse kinematics solution of robotic manipulators based on error minimization, Information Sciences, 2012, vol. 222, pp. 528—543.
15. Craig J. J. Introduction to robotics: mechanics and control, Pearson Education International, 2005, 400 p.
16. Borisov O. I., Gromov V. S., Pyrkin A. A. Robotic application control techniques: study guide, St. Petersburg, ITMO University, 2016, 108 p. (in Russian).
17. Popov E. P., Vereshchagin A. F., Zenkevich S. L. Manipulation robots: dynamics and algorithms, Moscow, Nauka, 1978, 400 p. (in Russian).
Review
For citations:
Filaretov V.F., Gubankov A.S., Gornostaev I.V. Development of the Method of Formation the Reference Signals for Electric Actuators of Manipulators with Redundant Degrees of Freedom. Part I. Mekhatronika, Avtomatizatsiya, Upravlenie. 2022;23(1):23-30. (In Russ.) https://doi.org/10.17587/mau.23.23-30
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