Journal of Intelligent & Robotic Systems

, Volume 62, Issue 1, pp 29–58

Semi-globally Exponential Tracking Observer/Controller for Robots with Joint Hysteresis and Without Velocity Measurement


DOI: 10.1007/s10846-010-9437-4

Cite this article as:
Malagari, S. & Driessen, B.J. J Intell Robot Syst (2011) 62: 29. doi:10.1007/s10846-010-9437-4


In this work, we consider a multiple degree of freedom robotic plant with joint hysteresis and without velocity measurement. We show, by construction, how a semi-globally exponential hysteresis observer/controller that assumes velocity measurement, a number of which we point out from the literature, can be combined/modified with a velocity observer to yield a combined semi-globally exponential tracking observer/controller. The resulting observer/controller estimates both the hysteresis state and the joint velocity. We prove that the combined estimation error and tracking error converges to zero semi-globally exponentially. One deemed contribution as compared to previous work for this same type of plant is that the usual requirement of velocity measurement has been removed; another is the proved semi-globally exponential result.


Hysteresis observerHysteresisHysteretic frictionBouc–WenSemi-globally exponential trackingRobotVelocity observerSemi-global exponentialActuatorsDrivesNonlinear controlsSGESLuGre

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Wichita State UniversityWichitaUSA