The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
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1-DOF Haptic Interface Controller Design considering Transparency and Robust Stability

투명성과 강인 안정성을 고려한 1자유도 햅틱 인터페이스 제어기 설계

  • Published : 2000.04.01
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Abstract

In this paper, a controller design method is proposed for haptic interface considering transparency and robust stability. For this, a performance index for the transparency as performance measure is defined in the points of impedance matching and the optimal solution which is minimizing the performance index is obtained by solving H2 optimal problem. In haptic interface, the modeling uncertainties can be restricted to that of haptic device. To implement the robust stabilizing haptic controller to the uncertainties of haptic device, a robust stable condition using H$\infty$ norm from small gain theorem is proposed. To verify the effectiveness of the proposed haptic controller design scheme, numerical examples and experimental results are illustrated for virtual wall consisting of stiffness and damping factor.

Keywords

References

  1. R.J.Anderson and M.W.Spong, 'Asymptotic Stability for Force Reflecting Teleoperators with Time Delay,' International Journal of Robotics Research, vol. 11, No. 2, pp. 135-149, 1992 https://doi.org/10.1177/027836499201100204
  2. R.J.Adams and B.Hannaford, 'A Two-Port Framework for the Design of Unconditionally Stable Haptic Interfaces,' Proceedings of 1998 IEEE/RSJ International Conference on Intelligent Robotics and Systems, pp.1254-1259, Victoria, 1998
  3. J.E.Colgate and G.Schenkel, 'Passivity of a Class of Sampled-Data System: Application to Haptic Interface,' Proceedings of American Control Conference, pp. 3236-3240, Baltimore, 1994 https://doi.org/10.1109/ACC.1994.735172
  4. J.E.Colgate and J.M.Brown, 'Factors Affection the Z-width of a Haptic Display,' Proceedings of the IEEE International Conference on Robotics and Automation, pp.3205-3210, San Diego, May 1994
  5. D.A.Lawrence, 'Stability and Transparency in Bilateral Teleoperation,' IEEE Transactions on Robotics and Automation, Vol. 9, No. 5, pp.624-637, October 1993 https://doi.org/10.1109/70.258054
  6. M. Morari and E. Zafiriou, Robust Process Control, Prentice Hall, 1989
  7. J.C. Doyle, B.A. Francis and A.R. Tannenbaum, Feedback Control Theory, Macmillan Publishing Company, 1992