Skip to main content

Advertisement

Log in

Simulating discontinuous phenomena affecting robot motion

  • Published:
Journal of Intelligent and Robotic Systems Aims and scope Submit manuscript

Abstract

The paper deals with simulation of mechanical systems affected by discontinuous phenomena. These phenomena involve impulsive events and/or models whose structure changes depending on the values of some system variables. The models of three kinds of these discontinuities (joint with static friction, collisions with rigid environment, bifurcation behavior near kinematic singularities) are given, and a simulation environment, based on the DAE solver DASSL is presented, that also allows efficient simulation of sample-data systems. Some simulation results achieved with the proposed environment are finally presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Burdick, J. W.: An algorithm for generation of efficient manipulator dynamic equations, Proc. IEEE Int. Conf. on Robotics and Automation, San Francisco, 1986.

  2. Khalil, W.: SYMORO: Systeme Pour la Modelisation des Robots, ENMS-LAN, Nantes, 1989.

    Google Scholar 

  3. Vukobratovic, M., Kircanski, N., Timcenko, A., and Kircanski, M.: SYM — program for computer-aided generation of optimal symbolic models of robot manipulators, in W. Schiehlen (ed.), Multibody Systems Handbook, Springer-Verlag, 1989.

  4. Armstrong-Hélouvry, B.: Control of Machines with Friction, Kluwer Academic Publishers, Dordrecht, 1991.

    Google Scholar 

  5. Uran, S., Jezernik, K. and Troch, I.: Coulomb friction and simulation problems, in Proc. SYROCO'91, Wien, 1991, pp. 33–38.

  6. Zheng, Y. F. and Hemami, H.: Mathematical modeling of a robot in collision with its environment, Journal of Robotic Systems 2(3) (1985), 289–307.

    Google Scholar 

  7. Ferretti, G., Maffezzoni, C. and Magnani, G.: Dynamic simulation of robots interacting with stiff contact surfaces, Trans. Soc. for Computer Simulation 9(1) (1992), 1–24.

    Google Scholar 

  8. McClamroch, N. H. and Wang, D.: Feedback stabilization and tracking of constrained robots, IEEE Trans. on Automatic Control 33 (1988), 419–426.

    Google Scholar 

  9. Haug, E. J.: Computer-Aided Kinematics and Dynamics of Mechanical Systems, Allyn and Bacon, 1989.

  10. Ellis, R. E., Ricker, S. L.: Two numerical issues in simulating constrained dynamics, in Proc. IEEE Int. Conf. on Robotics and Automation, Nice, France, 1992, pp. 312–318.

  11. Brenan, K. E., Campbell, S. L. and Petzold, L. R.: Numerical solution of Initial-Value problems in Differential-algebraic equations, Elsevier Science, 1989.

  12. The Math. Works, SIMULINK User's Guide, 1992.

  13. Bellasio, F., Benvenuti, A., Lluka, P., Groppelli, G. and Maffezzoni, C.: A modular simulation environment based on object-oriented database technology, in Proc. European Control Conf., Groningen, 1993, pp. 1568–1574.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ferretti, G., Maffezzoni, C., Magnani, G. et al. Simulating discontinuous phenomena affecting robot motion. J Intell Robot Syst 15, 53–65 (1996). https://doi.org/10.1007/BF00435727

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00435727

Key words