A Globally Stable PD Controller for Bilateral Teleoperators

  • Authors:
  • E. Nuno;R. Ortega;N. Barabanov;L. Basanez

  • Affiliations:
  • Inst. of Ind. & Control Eng., Tech. Univ. of Catalonia, Barcelona;-;-;-

  • Venue:
  • IEEE Transactions on Robotics
  • Year:
  • 2008

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Abstract

In a recent scheme, with delayed derivative action [Lee and Spong, IEEE Trans. Robot., vol. 22, no. 2, pp. 269--281, Apr. 2006], it is claimed that a simple proportional derivative (PD) scheme yields a stable operation. Unfortunately, the stability proof hinges upon unverifiable assumptions on the human and contact environment operators, namely, that they define Linfin-stable maps from velocity to force. In this short paper, we prove that it is indeed possible to achieve stable behavior with simple PD-like schemes-even without the delayed derivative action-under the classical assumption of passivity of the terminal operators.