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RETRACTED ARTICLE: A New Viewpoint on Control Algorithms for Anthropomorphic Robotic Arms

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This article was retracted on 17 August 2023

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Abstract

We investigate the singularity for the anthropomorphic robotic arm and develop an algorithm to handle the calculation. It is demonstrated that although the limit characteristics and the interior characteristics of these robotic arms can be distinguished through an examination of their unique properties, it is still not possible to obtain decent kinematic decoupling properties for modern automated arms. In light of this, the methodology of our calculation is changed to deal with these two cases. The control contribution is altered to again allow bending of the robotic arm from the solitary straight stance. The interior singularities are taken into consideration in the calculation to control against invalid spatial movement of the automated arm. By incorporating fuzzy control theorem, we demonstrate that modeling system enables the robotic arm to move within solitary areas and return back to certain locations, so that the usable workspace is expanded. The viability of the proposed calculation method for reproduction and use in ongoing control tests is proven.

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References

  1. Boston Dynamics. Atlas, https://robots.ieee.org/robots/atlas2016/ (2016, accessed November 22, 2018)

  2. Kaneko, K., Kanehiro, F., Kajita, S., et al. Humanoid robot HRP-2. In: IEEE International Conference on Robotics and Automation, LA, USA, 2004, pp.1083-1090. IEEE

  3. Kaneko, K., Kanehiro, F., Morisawa, M., et al. Cybernetic human HRP-4C. In: IEEE/RAS International Conference on Humanoid Robots, Paris, France, 2009, pp.7-14. IEEE

  4. Park, S., Lee, H., Hanson, D., et al. Sophia-Hubo's Arm Motion Generation for a Handshake and Gestures. In: 15th International Conference on Ubiquitous Robots (UR), 2018, pp.511–515

  5. Honda. Asimo, https://world.honda.com/ASIMO/ (2011, accessed November 22, 2018)

  6. KAIST. HUBO2, https://robots.ieee.org/robots/hubo/ (2009, accessed November 22, 2018)

  7. Wimböck, T., Nenchev, D., Albu-Schäffer, A., et al. Experimental study on dynamic reactionless motion with DLR’s humanoid Justin. In: IEEE/RAS International Conference on Intelligent Robots and Systems, MO, USA, 2009, pp.5481-5486. IEEE

  8. Kaneko, K., Kanehiro, F., Morisawa, M., et al. Humanoid robot HRP-4 humanoid robotics platform with lightweight and slim body. In: IEEE/RAS International Conference on Intelligent Robots and Systems, CA, USA, 2011, pp.4400-4407. IEEE

  9. Taki, S. and Nenchev, D.: A novel singularity-consistent inverse kinematics decomposition for S-R-S type manipulators. In: IEEE International Conference on Robotics and Automation, Hong Kong, China, 2014, pp.5070-5075. IEEE

  10. Nakamura, Y., Hanafusa, H.: Inverse kinematic solutions with singularity robustness for robot manipulator control. J. Dyn. Syst. Meas. Control. 108, 163–171 (1986)

    Article  MATH  Google Scholar 

  11. Wolovich, W.A. Elliott, H., A computational technique for inverse kinematics. In: IEEE Conference on Decision and Control, Nevada, USA, 1984, pp.1359-1363. IEEE

  12. Marani, G., Kim, J., Yuh, J., et al. A real-time approach for singularity avoidance in resolved motion rate control of robotic manipulators. In: IEEE International Conference on Robotics and Automation, Washington, USA, 2002, pp.1973-1978. IEEE

  13. Chiaverini, S., Siciliano, B., Egeland, O.: Review of the damped least-squares inverse kinematics with experiments on an industrial robot manipulator. IEEE Trans. Control Syst. Technol. 2, 123–134 (1994)

    Article  Google Scholar 

  14. Xu, W., Zhang, J., Liang, B., et al.: Singularity analysis and avoidance for robot manipulators with nonspherical wrists. IEEE Trans. Ind. Electron. 63, 277–290 (2016)

    Article  Google Scholar 

  15. Colomé, A., Torras, C.: Closed-loop inverse kinematics for redundant robots: comparative assessment and two enhancements. IEEE/ASME Transactions on Mechatronics. 20, 944–955 (2015)

    Article  Google Scholar 

  16. Tian, L., Collins, C.: Motion planning for redundant manipulators using a floating point genetic algorithm. Journal of Intelligent & Robotic Systems. 38, 297–312 (2003)

    Article  Google Scholar 

  17. De Farias, C.M., Rocha, Y.G., Figueredo, L.F.C., et al. Design of singularity-robust and task-priority primitive controllers for cooperative manipulation using dual quaternion representation. In: IEEE Conference on Control Technology and Applications, HI, USA, 2017, pp.740-745. IEEE

  18. LeBel, P., Gosselin, C., Campeau-Lecours, A., An anticipative kinematic limitation avoidance algorithm for collaborative robots: three-dimensional case. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, BC, Canada, 2017, pp.3075-3080. IEEE

  19. Bianco, C.G.L., Raineri, M., An automatic system for the avoidance of wrist singularities in anthropomorphic manipulators. In: IEEE Conference on Automation Science and Engineering (CASE), Xi’an, China, 2017, pp.1302-1309. IEEE

  20. Ávalos-Ruiz, L.F., Zúñiga-Aguilar, C.J., Gómez-Aguilar, J.F., Escobar-Jiménez, R.F., Romero-Ugalde, H.M., FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag–Leffler law, 2018, 115, 177–189

  21. Gómez-Aguilar, J.F.: And Atangana Abdon. New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications. The European Physical Journal Plus. 132(1), 1–23 (2017)

    Article  Google Scholar 

  22. Oetomo, D., Jr, N.H.A.: Singularity robust algorithm in serial manipulators. Robot. Comput. Integr. Manuf. 25, 122–134 (2009)

  23. Dietrich, A., Ott, C., Albu-Schäffer, A.: An overview of null space projections for redundant, torque-controlled robots. The International Journal of Robotics Research. 34, 1385–1400 (2015)

    Article  Google Scholar 

  24. Nakanishi, J., Cory, R., Mistry, M., et al.: Operational space control: a theoretical and empirical comparison. The International Journal of Robotics Research. 27, 737–757 (2008)

    Article  Google Scholar 

  25. Spong, M.W., Seth, H., Mathukumalli, V.: Robot Modeling and Control. Wiley, New York (2006)

    Google Scholar 

  26. Cheng, F.T., Hour, T.L., Sun, Y.Y., et al.: Study and resolution of singularities for a 6-DOF PUMA manipulator. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics). 27, 332–343 (1997)

    Article  Google Scholar 

  27. Pfurner, M.: Closed form inverse kinematics solution for a redundant anthropomorphic robot arm. Computer Aided Geometric Design. 47, 163–171 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  28. Tondu, B.: A kinematic model of the upper limb with a clavicle-like link for humanoid robots. International Journal of Human Robotics. 5, 81–118 (2008)

    Google Scholar 

  29. Dabiri, A., Moghaddam, B.P., Machado, J.A.T.: Optimal variable–order fractional PID controllers for dynamical systems. J. Comput. Appl. Math. 339, 40–48 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  30. Jajarmi, A., Hajipour, M., Mohammadzadeh, E., Baleanu, D.: A new approach for the nonlin- ear fractional optimal control problems with external persistent disturbances. Journal of the Franklin Institute. 335(9), 3938–3967 (2018)

    Article  MATH  Google Scholar 

  31. Su, P., Shang, C., Chen, T., Shen, Q.: Exploiting data reliability and fuzzy clustering for journal ranking. IEEE Trans. Fuzzy Syst. 25(5), 1306–1319 (2017)

    Article  Google Scholar 

  32. Kreutz-Delgado, K., Long, M., Seraji, H.: Kinematic analysis of 7-DOF manipulators. The International Journal of Robotics Research. 11, 469–481 (1992)

    Article  Google Scholar 

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Correspondence to Tim Chen.

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The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

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This article has been retracted. Please see the retraction notice for more detail: https://doi.org/10.1007/s10846-023-01949-5

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Chen, T., Chen, J.Cy. RETRACTED ARTICLE: A New Viewpoint on Control Algorithms for Anthropomorphic Robotic Arms. J Intell Robot Syst 99, 647–658 (2020). https://doi.org/10.1007/s10846-020-01149-5

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  • DOI: https://doi.org/10.1007/s10846-020-01149-5

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