51. A globally stable PD controller for bilateral teleoperators
- Author
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Nuno, Emmanuel, Ortega, Romeo, Barabanov, Nikita, and Basanez, Luis
- Subjects
Remote control -- Research ,Robotics -- Research ,Control systems -- Design and construction - 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 [[laplace].sub.[infinity]]-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. Index Terms--Bilateral teleoperation, communication delays, passivity, proportional derivative (PD) control.
- Published
- 2008