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Time varying backstepping control for trajectory tracking of mobile robot

Published: 01 January 2017 Publication History

Abstract

This paper presents a time varying backstepping tracking controller TVBTC for the kinematic model of the non-holonomic wheeled mobile robot WMR that can improves the transient performances of the standard backstepping control scheme. The proposed TVBTC is derived based on the analysis of the error dynamic, as well as the stability conditions of the controlled system. The asymptotic stability of the system and the convergence of the posture errors to zero are guaranteed using the Lyapunov stability theory. In comparison with the other tracking control methods for the mobile robot, the simulation results demonstrate that the transient performance can be improved significantly using the proposed TVBTC, which is capable to track a circular path with faster settling time and minimal overshoot. In addition, the TVBTC can efficiently handle a situation with arbitrarily large initial tracking errors and it is capable to produce smooth and bounded velocity output in a finite time interval. The simulation results show the effectiveness of the proposed tracking controller at the starting time.

References

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Published In

cover image International Journal of Computational Vision and Robotics
International Journal of Computational Vision and Robotics  Volume 7, Issue 1/2
January 2017
232 pages
ISSN:1752-9131
EISSN:1752-914X
Issue’s Table of Contents

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Inderscience Publishers

Geneva 15, Switzerland

Publication History

Published: 01 January 2017

Author Tags

  1. Lyapunov stability theory
  2. asymptotic stability
  3. backstepping control
  4. kinematic modelling
  5. mobile robots
  6. non-holonomic robots
  7. robot control
  8. robot trajectories
  9. simulation
  10. tracking control
  11. trajectory tracking
  12. wheeled robots

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