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Kinematische Modellierung für die Roboterkalibration

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Mathematik in der Praxis

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Zusammenfassung

Kalibrationsverfahren werden bei Robotern und Handhabungsgeräten eingesetzt, um ihre kinematische Struktur, ihre Getriebe und ihre elastischen Eigenschaften zu modellieren, sie zu vermessen und Modellparameter numerisch zu identifizieren [DS91]. Die kinematische Modellierung stellt daher einen Kernpunkt jeden Kalibrationsverfahrens dar.

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Literatur

  1. Bennett, D.J., Hollerbach J.M., Henri P.D.: Kinematic Calibration by Direct Estimation of the Jacobian Matrix. Proc. IEEE Int. Conf. on Robotics and Automation (1992) 351–357

    Google Scholar 

  2. Boothby, W. M.: An Introduction to Differentiate Manifolds and Riemannian Geometry. Academic Press, New York 1975

    Google Scholar 

  3. Bottema, O., Roth. O.: Theoretical Kinematics. North-Holland, Amsterdam 1979

    Google Scholar 

  4. Denavit, J., Hartenberg, R.S.: A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices. AS ME Journal of Applied Mechanics 22 (1955) 215–221

    MathSciNet  MATH  Google Scholar 

  5. Duelen, G., Schröer, K.: Robot Calibration-Method and Results. Robotics amp; Computer-Integrated Manufacturing 8 4 (1991) 223–231

    Article  Google Scholar 

  6. Everett, L.J., Driels M., B.W. Mooring.: Kinematic Modelling for Robot Calibration. Proc. IEEE Int. Conf. on Robotics and Automation (1987) 183–189

    Google Scholar 

  7. Everett, L.J., Hsu T.-W.: The Theory of Kinematic Parameter Identification for Industrial Robots. Trans. ASME, Journ. of Dynamic Systems, Measurement and Control 110 (1988) 96–100

    Article  Google Scholar 

  8. Everett, L.J., Suryohadiprojo, A.H.: A Study of Kinematic Models for Forward Calibration of Manipulators. Proc. IEEE Int. Conf. on Robotics and Automation (1988) 798–800

    Google Scholar 

  9. Fischer, Gerd.: Analytische Geometrie. Vieweg, Braunschweig 1978

    Google Scholar 

  10. Funda, J., Taylor R.H., Paul R.P.: On Homogeneous Transforms, Quaternions, and Computational Efficiency. IEEE Trans, on Robotics and Automation 6 3 (1990) 382–388

    Article  Google Scholar 

  11. Hayati, S.A., Mirmirani, M.: Improving the Absolute Positioning Accuracy of Robot Manipulators. Journal of Robotic Systems 2 4 (1985) 397–413

    Article  Google Scholar 

  12. Heuser, H.: Lehrbuch der Analysis. Bd. 2. Teubner, Stuttgart 1981

    MATH  Google Scholar 

  13. Hsu, T.W., Everett L.J.: Identification of the Kinematic Parameters of a Robot Manipulator for Positional Accuracy Improvement. Proc. Computers in Engineering Conference, Boston 1985, 263–267

    Google Scholar 

  14. Judd, R.P., Knasinski A.B.: A Technique to Calibrate Industrial Robots With Experimental Verification. Proc. IEEE Int. Conf. on Robotics and Automation (1987) 351–357

    Google Scholar 

  15. Karger, A., Novak, J.: Space Kinematics and Lie Groups. Gordon and Breach, Montreux 1974

    Google Scholar 

  16. Khalil, W., Gautier, M.: Identification of Geometric Parameters of Robots; Symposium on Robot Control ’85 (1st IFAC Symposium) Barcelona (1985) 191–194

    Google Scholar 

  17. Kim, M.-S.: Entwicklung eines Parameteridentifikationsverfahrens zur Erhöhung der absoluten Positioniergenauigkeit von Industrierobotern. In: Prof. Dr.-Ing. Drs. h.c. G. Spur (Hrsg.) Produktionstechnik - Berlin. Forschungsberichte für die Praxis. Bd. 63. Diss. Berlin 1987. Hanser, München 1987

    Google Scholar 

  18. Kirchner, H.O.K., Gurumoorthy, B., Prinz, F.B.: A Perturbation Approach to Robot Calibration. Int. J. of Robotics Research 6 (1987) 47–59

    Article  Google Scholar 

  19. Mladenova, C.D., Toshev, V.E.: Group Theoretical Setting of Manipulators Kinematics and Control. Proc. 1st IFAC Symposium on Robot Control (1985) 263–267

    Google Scholar 

  20. Payannet, D., Aldon, M.J., Liegeois, A.: Identification and Compensation of Mechanical Errors for Industrial Robots. Proc. 15th Int. Symp. on Industrial Robots (1985) 857–864

    Google Scholar 

  21. Schröer, K.: Identifikation von Kalibrationsparametern kinematischer Ketten. In: Prof. Dr.-Ing. Drs. h.c. G. Spur (Hrsg.) Produktionstechnik - Berlin, Forschungsberichte für die Praxis. Bd. 126. Diss. Berlin 1993 Hanser, München 1993

    Google Scholar 

  22. Spur, G., Duelen, G., Kirchhof!, U.: Verfahren zur Bestimmung der Nullagen und Längen kinematischer Elemente. Archiv für Elektrotechnik 66 (1983) 261–266

    Article  Google Scholar 

  23. Spur, G., Schröer, K.: Kalibrierung von Industrierobotern. In: G. Pritschow, G. Spur, M. Weck. (Hrsg.) Vorschubantriebe in der Fertigungstechnik. Hanser, München 1989

    Google Scholar 

  24. Wolfram, S.: A System for Doing Mathematics by Computer. Mathematica. Addison-Wesley, Redwood City (CA) 1991

    Google Scholar 

  25. Stone, H.W., Sanderson A.C., Neumann, Ch. P.: Arm Signature Identification. Proc. IEEE Int. Conf. on Robotics and Automation (1986) 41–48

    Google Scholar 

  26. Stone, H.W., Sanderson, A.C.: A Prototype Arm Signature Identification System. Proc. IEEE Int. Conf. on Robotics and Automation (1987) 175–182

    Google Scholar 

  27. Veitschegger, W.K., Wu, C.H.: Robot Accuracy Analysis. Proc. IEEE 214 Conf. on Cybernetics and Society (1985) 425–430

    Google Scholar 

  28. Wu, C.H.: A Kinematic CAD Tool for the Design and Control of a Robot Manipulator. Int. J. of Robotics Research 3 1 (1984) 58–67

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Fraunhofer-Institut für Produktionsanlagen und Konstruktionstechnik, Berlin, Germany

    Klaus Schröer

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  1. Klaus Schröer
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Editor information

Editors and Affiliations

  1. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, D-50931, Köln, Germany

    Achim Bachem

  2. Institut für Informatik, Universität zu Köln, Pohligstraße 1, D-50969, Köln, Germany

    Michael Jünger  & Rainer Schrader  & 

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© 1995 Springer-Verlag Berlin Heidelberg

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Schröer, K. (1995). Kinematische Modellierung für die Roboterkalibration. In: Bachem, A., Jünger, M., Schrader, R. (eds) Mathematik in der Praxis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79763-7_10

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  • DOI: https://doi.org/10.1007/978-3-642-79763-7_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79764-4

  • Online ISBN: 978-3-642-79763-7

  • eBook Packages: Springer Book Archive

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