Asymptotic stability in a flexible-joint robot with model uncertainty and multiple time delays in feedback

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16 Scopus citations

Abstract

This study considers the stability problem of a flexible-joint robot in case time delays are involved in the feedback loop. We assume in our analysis that the controller uses only position measurements. The single and multiple time-delay cases, are considered. By using some useful structural properties of the robot model, sufficient conditions for asymptotic (exponential) stability of the system under consideration have been established. An estimate to the system rate of convergence is given and a procedure for evaluating the region of attraction, is given.

Original languageEnglish
Pages (from-to)519-531
Number of pages13
JournalJournal of the Franklin Institute
Volume341
Issue number6
DOIs
StatePublished - 1 Sep 2004

Keywords

  • Exponential stability
  • Flexible-joint robot
  • Multiple time delays
  • Output-feedback
  • Region of attraction

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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