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A Unified Passivity Based Control Framework for Position, Torque and Impedance Control of Flexible Joint Robots

  • Conference paper

Part of the Springer Tracts in Advanced Robotics book series (STAR,volume 28)

Abstract

In this paper we describe a general passivity based framework for the control of flexible joint robots. Herein the recent DLR results on torque-, position-, as well as impedance control of flexible joint robots are summarized, and the relations between the individual contributions are highlighted. It is shown that an inner torque feedback loop can be incorporated into a passivity based analysis by interpreting torque feedback in terms of shaping of the motor inertia. This result, which implicitly was already included in our earlier works on torque- and position control, can also be seized for the design of impedance controllers. For impedance control, furthermore, potential shaping is of special interest. It is shown how, based only on the motor angles, a potential function can be designed which simultaneously incorporates gravity compensation and a desired Cartesian stiffness relation for the link angles.

Keywords

  • Joint Torque
  • Impedance Control
  • Motor Position
  • Gravity Compensation
  • Impedance Controller

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  • DOI: 10.1007/978-3-540-48113-3_2
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References

  1. A. Albu-Schäffer. Regelung von Robotern mit elastischen Gelenken am Beispiel der DLR-Leichtbauarme. PhD thesis, Technical University Munich, april 2002.

    Google Scholar 

  2. A. Albu-Schäffer and G. Hirzinger. A globally stable state-feedback controller for flexible joint robots. Journal of Advanced Robotics, Special Issue: Selected Papers from IROS 2000, 15(8):799–814, 2001.

    Google Scholar 

  3. A. Albu-Schäffer and G. Hirzinger. Cartesian impedance control techniques for torque controlled light-weight robots. IEEE International Conference of Robotics and Automation, pages 657–663, 2002.

    Google Scholar 

  4. A. Albu-Schäffer, C. Ott, and G. Hirzinger. Passivity based cartesian impedance control for flexible joint manipulators. Proc. 6-th IFAC-Symposium on Nonlinear Control Systems, Stuttgart, 2:111, 2004.

    Google Scholar 

  5. A. Albu-Schäffer, C. Ott, and G. Hirzinger. A passivity based cartesian impedance controller for flexible joint robots-part ii:full state feedback, impedance design and experiments. ICRA, pages pp. 2666–2673, 2004.

    Google Scholar 

  6. A. Albu-Schäffer, C. Ott, and G. Hirzinger. Constructive energy shaping based impedance control for a class of underactuated euler-lagrange systems. ICRA, pages 1399–1405, 2005.

    Google Scholar 

  7. A. Bicchi, G. Toniettiand M. Bavaro, and M. Piccigallo. Variable stiffness actuators for fast and safe motion control. 11th International Symposium of Robotics Research (ISRR), oct. 2003.

    Google Scholar 

  8. B. Brogliato, R. Ortega, and R. Lozano. Global tracking controllers for flexible-joint manipulators: a comparative study. Automatica, 31(7):941–956, 1995.

    MATH  CrossRef  MathSciNet  Google Scholar 

  9. S. Chen and I. Kao. Simulation of conservative congruence transformation conservative properties in the joint and cartesian spaces. IEEE International Conference of Robotics and Automation, pages 1283–1288, 2000.

    Google Scholar 

  10. A. DeLuca. Feedforward/feedback laws for the control of flexible robots. IEEE International Conference of Robotics and Automation, pages 233–240, 2000.

    Google Scholar 

  11. A. DeLuca and P. Lucibello. A general algorithm for dynamic feedback linearization of robots with elastic joints. IEEE International Conference of Robotics and Automation, pages 504–510, 1998.

    Google Scholar 

  12. G. Hirzinger, A. Albu-Schäffer, M. Hähnle, I. Schaefer, and N. Sporer. On a new generation of torque controlled light-weight robots. IEEE International Conference of Robotics and Automation, pages 3356–3363, 2001.

    Google Scholar 

  13. N. Hogan. Impedance control: An approach to manipulation, part I-theory, part II-implementation, part III-applications. Journ. of Dyn. Systems, Measurement and Control, 107:1–24, 1985.

    MATH  CrossRef  Google Scholar 

  14. T. Lin and A.A. Goldenberg. Robust adaptive control of flexible joint robots with joint torque feedback. IEEE International Conference of Robotics and Automation, RA-3(4):1229–1234, 1995.

    Google Scholar 

  15. C. Ott, A. Albu-Schäffer, and G. Hirzinger. Comparison of adaptive and non-adaptive tracking control laws for a flexible joint manipulator. IROS, 2002.

    Google Scholar 

  16. C. Ott, A. Albu-Schäffer, and G. Hirzinger. A passivity based cartesian impedance controller for flexible joint robots-part i:torque feedback and gravity compensation. ICRA, pages pp. 2659–2665, 2004.

    Google Scholar 

  17. M. Spong. Modeling and control of elastic joint robots. IEEE Journal of Robotics and Automation, RA-3(4):291–300, 1987.

    MathSciNet  CrossRef  Google Scholar 

  18. S. Sugano. Human-robot symbiosis. Workshop on Human-Robot Interaction, ICRA, 2002.

    Google Scholar 

  19. P. Tomei. A simple PD controller for robots with elastic joints. IEEE Transactions on Automatic Control, 36(10):1208–1213, 1991.

    CrossRef  MathSciNet  Google Scholar 

  20. M. Vidyasagar. Nonlinear Systems Analysis. Prentice-Hall, 1978.

    Google Scholar 

  21. M. Zinn, O. Khatib, B. Roth, and J.K. Salisbury. A new actuation approach for human friendly robot design. Int. Symp. on Experimental Robotics, Ischia, 2002.

    Google Scholar 

  22. L. Zollo, B. Siciliano, A. De Luca, E. Guglielmelli, and P. Dario. Compliance control for a robot with elastic joints. Proceedings of the 11th International Conference on Advanced Robotics, Coimbra, Portugal, pages pp. 1411–1416, june 2003.

    Google Scholar 

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Albu-Schäffer, A., Ott, C., Hirzinger, G. (2007). A Unified Passivity Based Control Framework for Position, Torque and Impedance Control of Flexible Joint Robots. In: Thrun, S., Brooks, R., Durrant-Whyte, H. (eds) Robotics Research. Springer Tracts in Advanced Robotics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48113-3_2

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  • DOI: https://doi.org/10.1007/978-3-540-48113-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-48110-2

  • Online ISBN: 978-3-540-48113-3

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