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Stability Problem of Wave Variable Based Bilateral Control: Influence of the Force Source Design

Author

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  • Dapeng Tian
  • Bao Zhang
  • Honghai Shen
  • Jiaquan Li

Abstract

The wave variable has been proposed to achieve robust stability against the time delay in bilateral control system. However, the influence of the force source on the overall system is still not clear. This paper analyzes this problem and proposes a supplement to the stability analysis for wave variable based bilateral control. Based on the scattering theory, it is pointed out that the design of force source decides the passivity of the two-port network of slave robot. This passivity influences the stability of overall system. Based on the characteristic equation and small gain theorem, it is clear that inappropriate designed force source in encoding the wave variable destroys the stability in the presence of time delay. A wave domain filter makes up for the broken stability. The principle of this reparation is explained in this paper. A reference is also provided by the analysis to design the parameter of the wave domain filter. Experiments prove the correctness and validity.

Suggested Citation

  • Dapeng Tian & Bao Zhang & Honghai Shen & Jiaquan Li, 2013. "Stability Problem of Wave Variable Based Bilateral Control: Influence of the Force Source Design," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, November.
    • Handle: RePEc:hin:jnlmpe:105298
    DOI: 10.1155/2013/105298
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