Stability boundary for haptic rendering: Influence of human operator

Recent analysis on the stability boundary for haptic rendering assumed a stabilizing effect through a human operator holding a haptic device, without considering his/her dynamics directly. This paper derives stability boundaries of a linear model of a haptic system including those dynamics. It shows that all three elements of the human arm modeled as mass-spring-damper system contribute to stability. The haptic system itself is composed of a haptic device colliding with a virtual wall modeled as time-delayed discrete-time spring-damper system. Furthermore, the article proves that the recently found linear stability condition for haptic devices of Gil et al. still holds if a human is holding the haptic device. Finally, a relation to Colgatepsilas passivity condition defining a robustly stable region is given.

[1]  Blake Hannaford,et al.  Sampled- and continuous-time passivity and stability of virtual environments , 2003, IEEE Transactions on Robotics.

[2]  Thomas Hulin,et al.  Stability Boundary for Haptic Rendering: Influence of Damping and Delay , 2009, J. Comput. Inf. Sci. Eng..

[3]  Blake Hannaford,et al.  Time domain passivity control with reference energy behavior , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[4]  Blake Hannaford,et al.  Stable haptic interaction with virtual environments , 1999, IEEE Trans. Robotics Autom..

[5]  J. Edward Colgate,et al.  Factors affecting the Z-Width of a haptic display , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[6]  J. Edward Colgate,et al.  Increasing the impedance range of a haptic display by adding electrical damping , 2005, First Joint Eurohaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems. World Haptics Conference.

[7]  S. E. Salcudean,et al.  On the Emulation of Stiff Walls and Static Friction with a Magnetically Levitated Input/Output Devic , 1997 .

[8]  J. Edward Colgate,et al.  Passivity of a class of sampled-data systems: Application to haptic interfaces , 1997, J. Field Robotics.

[9]  Angel Rubio,et al.  Stability analysis of a 1 DOF haptic interface using the Routh-Hurwitz criterion , 2004, IEEE Transactions on Control Systems Technology.

[10]  Thomas Hulin,et al.  Stability Boundary and Design Criteria for Haptic Rendering of Virtual Walls , 2006 .

[11]  Thomas Hulin,et al.  Stability Boundary for Haptic Rendering: Influence of Physical Damping , 2006, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[12]  Blake Hannaford,et al.  Time domain passivity control of haptic interfaces , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[13]  John Kenneth Salisbury,et al.  Stability of Haptic Rendering: Discretization, Quantization, Time Delay, and Coulomb Effects , 2006, IEEE Transactions on Robotics.