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Slip parameter estimation of a single wheel using a non-linear observer

Published online by Cambridge University Press:  09 October 2008

Z. B. Song ,
L. D. Seneviratne ,
K. Althoefer ,
X. J. Song  and
Y. H. Zweiri
Z. B. Song
Affiliation:
Division of Engineering, King's College London, Strand, London WC2R 2LS, UK
L. D. Seneviratne
Affiliation:
Division of Engineering, King's College London, Strand, London WC2R 2LS, UK
K. Althoefer
Affiliation:
Division of Engineering, King's College London, Strand, London WC2R 2LS, UK
X. J. Song*
Affiliation:
Division of Engineering, King's College London, Strand, London WC2R 2LS, UK
Y. H. Zweiri
Affiliation:
School of Engineering, Mútah University, Karak, Jordon, 61710
*
*Corresponding author. E-mail: song.xiaojing@kcl.ac.uk
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Summary

Sliding mode observer is a variable structure system where the dynamics of a nonlinear system is altered via application of a high-frequency switching control. This paper presents a non-linear sliding mode observer for wheel linear slip and slip angle estimation of a single wheel based on its kinematic model and velocity measurements with added noise to simulate actual on-board sensor measurements. Lyapunov stability theory is used to establish the stability conditions for the observer. It is shown that the observer will converge in a finite time, provided the observer gains satisfy constraints based on a stability analysis. To validate the observer, linear and two-dimensional (2D) test rigs are specially designed. The sliding mode observer is tested under a variety of conditions and it is shown that the sliding mode observer can estimate wheel slip and slip angle to a high accuracy. It is also shown that the sliding mode observer can accurately predict wheel slip and slip angle in the presence of noise, by testing the performance of the sliding mode observer after adding white noise to the measurements. An extended Kalman filter is also developed for comparison purposes. The sliding mode observer is better in terms of prediction accuracy.

Keywords

Sliding mode observerWheel slip and slip angle estimationAutonomySingle wheelExtended Kalman filter
Type
Article
Information
Robotica , Volume 27 , Issue 6 , October 2009 , pp. 801 - 811
Copyright
Copyright © Cambridge University Press 2008

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