Straight Worms under Adaptive Control and Friction - Part 2: Adaptive Control

  • Carsten Behn
  • Klaus Zimmermann
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 30)


This is the second part of the contribution to the adaptive control of worm-systems, which are inspired by biological ideas. Part 1 is the basis for this part. We focus now on the adaptive control since one cannot expect to have complete information about a sophisticated mechanical or biological system in general. Only structural properties (known type of actuator with unknown parameters) are known. Additionally, in a rough terrain, unknown or changing friction coefficients lead to uncertain systems, too. The consideration of uncertain systems leads us now to the use of adaptive control. We still assume that the worm-system contacts the ground via spikes and track gaits from the kinematical theory (preferred motion patterns to achieve movement) by means of adaptive controllers (λ-trackers). Then we replace the worm-ground interaction by stiction combined with Coulomb sliding friction (modification of a Karnopp friction model) and point out the main differences for the worm-like locomotion.


Adaptive Control Transient Process Adaptive Controller Uncertain System Gain Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Armstrong-Hélouvry, B., Dupont, P., Canudas de Wit, C.: A Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines with Friction. Automatica 30(7), 1083–1138 (1994)zbMATHCrossRefGoogle Scholar
  2. 2.
    Awrejcewicz, J., Olejnik, P.: Analysis of Dynamic Systems with various Friction Laws. Applied Mechanics Reviews 58, 389–411 (2005)CrossRefGoogle Scholar
  3. 3.
    Behn, C.: Ein Beitrag zur adaptiven Regelung technischer Systeme nach biologischem Vorbild. Cuvillier, Göttingen (2005)Google Scholar
  4. 4.
    Behn, C., Zimmermann, K.: Adaptive λ-Tracking For Locomotion Systems. Robotics and Autonomous Systems 54, 529–545 (2006)CrossRefGoogle Scholar
  5. 5.
    Behn, C., Steigenberger, J.: Improved Adaptive Controllers For Sensory Systems - First Attempts. In: Awrejcewicz, J. (ed.) Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems, pp. 161–178. Springer, Heidelberg (2009)Google Scholar
  6. 6.
    Behn, C., Steigenberger, J., Zimmermann, K.: Biologically Inspired Locomotion Systems - Improved Models for Friction and Adaptive Control. In: Bottasso, C.L., Masarati, P., Trainelli, L. (eds.) Proceedings ECCOMAS Thematic Conference in Multibody Dynamics, 20 p. Electronical publication, Milano, Italy (2007)Google Scholar
  7. 7.
    Canudas de Wit, C., Olsson, H., Åström, K.J., Lischinsky, P.: A new Model for Control of Systems with Friction. IEEE Transactions on Automatic Control 40(3), 419–425 (1995)zbMATHCrossRefGoogle Scholar
  8. 8.
    Karnopp, D.: Computer simulation of stick-slip friction in mechanical dynamic systems. ASME J. of Dynamic Systems, Measurement and Control 107(1), 100–103 (1985)CrossRefGoogle Scholar
  9. 9.
    Olsson, H., Åström, K.J., Canudas de Wit, C., Gräfert, M., Lischinsky, P.: Friction Models and Friction Compensation. European Journal of Control 4, 176–195 (1998)zbMATHGoogle Scholar
  10. 10.
    Steigenberger, J.: Modeling Artificial Worms. Preprint No. M02/04. Faculty of Mathematics and Natural Sciences, TU Ilmenau (2004)Google Scholar
  11. 11.
    Steigenberger, J.: Mathematical representations of dry friction. Faculty of Mathematics and Natural Sciences, TU Ilmenau (2006) (unpublished Paper)Google Scholar
  12. 12.
    Zimmermann, K., Zeidis, I., Behn, C.: Mechanics of Terrestrial Locomotion - With a Focus on Non-pedal Motion Systems. Springer, Berlin (2009)zbMATHGoogle Scholar

Copyright information

© Springer Dordrecht Heidelberg London New York 2011

Authors and Affiliations

  • Carsten Behn
    • 1
  • Klaus Zimmermann
    • 1
  1. 1.Department of Technical MechanicsIlmenau University of TechnologyIlmenauGermany

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