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

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Abstract

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.

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Authors and Affiliations

  1. Wichita State University, Wichita, KS, USA

    Srinivasulu Malagari & Brian J. Driessen

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  1. Srinivasulu Malagari
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  2. Brian J. Driessen
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Correspondence to Brian J. Driessen.

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Malagari, S., Driessen, B.J. Semi-globally Exponential Tracking Observer/Controller for Robots with Joint Hysteresis and Without Velocity Measurement. J Intell Robot Syst 62, 29–58 (2011). https://doi.org/10.1007/s10846-010-9437-4

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  • DOI: https://doi.org/10.1007/s10846-010-9437-4

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