Skip to main content

Sliding mode control of a car-like mobile robot using single-track dynamic model

  • Chapter
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 247))

Abstract

An easy-to-implement global trajectory tracking algorithm in the class of variable structure systems is designed and analyzed within the single-track dynamical model framework. The algorithm uses measurements of the position, orientation and the yaw rate of the robot and is robust with respect to the parameter variations.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Ackermann: Robust Control, Springer-Verlag, London pp 371–375 1993

    MATH  Google Scholar 

  2. J. Ackermann and X. Hu, Acceleration and braking effects on robustly decoupled car steering, Proc. of 3-rd ECC'95, Rome, Italy, Sept. 1995, pp.737–743 (see also DLR Internal Report No. 515-94-28).

    Google Scholar 

  3. R.W. Brockett: Asymptotic stability and feedback stabilization, in Differential Geometric Control Theory (Brockett, Millmann and Sussman, eds), pp. 181–191, Boston, MA, USA, Birkhauser, 1983.

    Google Scholar 

  4. C. Canudas de Wit, Bruno Siciliano and G. Bastin: Theory of Robot Control, Springer Verlag, 1996.

    Google Scholar 

  5. Guldner J. and V. Utkin: Stabilization of nonholonomic mobile robots using Lyapunov functions for navigation and sliding mode control, Proc. of the 33-rd CDC, Lake Buena Vista, FL-December 1994, pp.2967–2972.

    Google Scholar 

  6. S.V. Gusev and I.A. Makarov: Stabilization of Program Motion of Transport Robot with Tracklaying Chassis, Proceedings of LSU, vol 1, issue 3, No15, 1989.

    Google Scholar 

  7. Jiang Z., Nijmeijer H., “Tracking Control of Mobile Robots: A case study in Backstepping”, Automatica, vol.33, N7, pp. 1393–1399.

    Google Scholar 

  8. J-C. Latombe: Robot Motion Planning, Kluwer Academic Publishers, 1991.

    Google Scholar 

  9. E. Freund and R. Mayr: Nonlinear Path Control in Automated Vehicle Guidance, IEEE Transactions on Robotics and Automation, vol 13, No1, Feb 1997.

    Google Scholar 

  10. R. Majjad and U. Kiencke, Modular Design for the Computation of Vehicle Dynamic Behavior, Proc. of the 5th IEEE Med. Control Conference, July, 1997, Paphos, Cyprus.

    Google Scholar 

  11. R. Murray and S. Sastry: Nonholonomic motion planning: steering using sinusoids, IEEE Transactions on Automatic Control, vol. 38, No 5, pp. 700–716, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  12. Wong J.Y. Theory of Ground Vehicles, John Wiley and Sons, Inc., 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

K.D. Young PhD Ü. Özgüner PhD

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag

About this chapter

Cite this chapter

Stotsky, A., Hu, X. (1999). Sliding mode control of a car-like mobile robot using single-track dynamic model. In: Young, K., Özgüner, Ü. (eds) Variable structure systems, sliding mode and nonlinear control. Lecture Notes in Control and Information Sciences, vol 247. Springer, London. https://doi.org/10.1007/BFb0109977

Download citation

  • DOI: https://doi.org/10.1007/BFb0109977

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-197-9

  • Online ISBN: 978-1-84628-540-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics