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Differential kinematics of contemporary industrial robots

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Języki publikacji
EN
Abstrakty
EN
The paper presents a simple method of avoiding singular configurations of contemporary industrial robot manipulators of such renowned companies as ABB, Fanuc, Mitsubishi, Adept, Kawasaki, COMAU and KUKA. To determine the singular configurations of these manipulators a global form of description of the end-effector kinematics was prepared, relative to the other links. On the basis of this description , the formula for the Jacobian was defined in the end-effector coordinates. Next, a closed form of the determinant of the Jacobian was derived. From the formula, singular configurations, where the determinant’s value equals zero, were determined. Additionally, geometric interpretations of these configurations were given and they were illustrated. For the exemplary manipulator, small corrections of joint variables preventing the reduction of the Jacobian order were suggested. An analysis of positional errors, caused by these corrections, was presented.
Rocznik
Strony
643--659
Opis fizyczny
Bibliogr. 13 poz., rys.
Twórcy
autor
  • Institute of Automatic Control Silesian University of Technology ul. Akademicka 16, 44-100 Gliwice, POLAND
Bibliografia
  • [1] Chiacchio P., Chiaverini S. and Siciliano B. (1996): Direct and inverse kinematics for coordinated motion tasks of two - manipulator system. - Journ. of Dynamics Systems, Measurement, and Control., vol.118, No.4, pp.691-697.
  • [2] Craig J.J. (1989): Introduction to Robotics. - New York: Addison-Weseley Publ. Comp. charter 4.
  • [3] Jezierski E. (2006): Dynamics and Control of Robots. - Warsaw: WNT 2006, ch.2, (in Polish).
  • [4] Kozłowski K., Dutkiewicz P. and Wróblewski W. (2003): Modeling and Control of Robots. - Warsaw: PWN, ch 1, (in Polish).
  • [5] Nakamura Y. and Hanafusa H.(2009): Inverse kinematic solutions with singularity robustness for manipulator control. - Journ. of Dynamics Systems, Measurement, and Control., vol.108, No.3, pp.163-171.
  • [6] Siciliano B., Sciavicco L. Villiani L. and Oriolo G. (2010): Robotics, Modelling, Planning and Control. - Springer Verlag Berlin 2010, chapter 3.5.2
  • [7] Spong M.W. and Vidyasagar M. (1997): Robot Dynamics and Control. - Warsaw: WNT, chapter. 5.3-5.4, (in Polish).
  • [8] Szkodny T. (2009): Basic component of computational intelligence for IRB-1400 robots. - Man-Machine Interactions. Berlin Heidelberg: Springer-Verlag, part.XI, pp.637-646.
  • [9] Szkodny T. (2010): Inverse Kinematics Problem of IRB, Fanuc, Mitsubishi, Adept and Kuka Series Manipulators. - J. of Applied Mechanics and Engineering. Zielona Góra. University Press, vol.15, No.3, pp.847-854.
  • [10] Szkodny T. (2012): Foundation of Robotics. - Gliwice. Silesian University of Technology Publ. Company, ch.2.4 (in Polish).
  • [11] Szkodny T. (2013a): Kinematics of Industrial Robots. - Gliwice. Silesian University of Technology Publ. Company, ch.2,3,4,8.3 (in Polish).
  • [12] Szkodny T. (2013b): Foundation of Robotics Problems Set. - Gliwice. Silesian University of Technology Publ. Company, ch.2 (in Polish).
  • [13] Tchoń K., Mazur A., Dulęba I., Hossa R. and Muszyński R. (2000): Mobile Manipulators and Robots. - Academic Publ. Company PLJ 2000, chapter.3.2 (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-71f49131-b727-4e51-828a-45c962408cc4
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