Transparent Virtual Coupler Design for Networked Haptic Systems With a Mixed Virtual Wall

In this paper, a virtual coupler is designed for the Phantom Omni haptic system in the wireless networked environment with 1 degree-of-freedom interaction. The manipulator and the control computer are connected through wireless communication links over which the position of the manipulator and the torque of the motor are transmitted. The virtual environment consists of multiple materials with different stiffness and damping that is termed as the mixed virtual wall. The contact point between the avatar and the virtual wall switches among different materials, where the movement is characterized by a stochastic process. To achieve the free oscillation for the haptic device with the human operator based on the passivity theory, the stability condition is established. After transforming the transparent virtual coupler design problem into an H∞ optimization problem for a delayed jump linear system, we propose a design scheme for the switching virtual coupler. The performance of the proposed virtual coupler is verified and tested on the Phantom Omni haptic system.

[1]  P.X. Liu,et al.  A Force-Reflection Algorithm for Improved Transparency in Bilateral Teleoperation With Communication Delay , 2007, IEEE/ASME Transactions on Mechatronics.

[2]  Yonghua Chen,et al.  Haptic function evaluation of multi-material part design , 2005, Comput. Aided Des..

[3]  Arianna Menciassi,et al.  Force sensing microinstrument for measuring tissue properties and pulse in microsurgery , 2003 .

[4]  Yang Shi,et al.  Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains , 2009, IEEE Transactions on Automatic Control.

[5]  Yongqiang Ye,et al.  Improving Trajectory Tracking in Wave-Variable-Based Teleoperation , 2010, IEEE/ASME Transactions on Mechatronics.

[6]  Keehoon Kim,et al.  On the Design of Miniature Haptic Devices for Upper Extremity Prosthetics , 2010, IEEE/ASME Transactions on Mechatronics.

[7]  R. Brent Gillespie,et al.  Performance/Stability Robustness Tradeoffs Induced by the Two-Port Virtual Coupler , 2006, 2006 14th Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems.

[8]  S. Agrawal,et al.  Differential-Flatness-Based Planning and Control of a Wheeled Mobile Manipulator—Theory and Experiment , 2011, IEEE/ASME Transactions on Mechatronics.

[9]  H. Hashimoto,et al.  Enhancement in Operator's Perception of Soft Tissues and Its Experimental Validation for Scaled Teleoperation Systems , 2011, IEEE/ASME Transactions on Mechatronics.

[10]  Ya-Jun Pan,et al.  Bilateral Teleoperation Over Networks Based on Stochastic Switching Approach , 2009, IEEE/ASME Transactions on Mechatronics.

[11]  I. Shigematsu,et al.  Friction stir process as a new manufacturing technique of ultrafine grained aluminum alloy , 2002 .

[12]  Randy A. Freeman,et al.  Passive implementation for a class of static nonlinear environments in haptic display , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[13]  J.P. Hespanha,et al.  Designing transparent stabilizing haptic controllers , 2006, 2006 American Control Conference.

[14]  George W. Irwin,et al.  Understanding wireless networked control systems through simulation , 2005 .

[15]  Kay M. Stanney,et al.  Deriving haptic design guidelines from human physiological, psychophysical, and neurological foundations , 2004, IEEE Computer Graphics and Applications.

[16]  Dale A. Lawrence.  Stability and transparency in bilateral teleoperation , 1993, IEEE Trans. Robotics Autom..

[17]  Dragan Nesic,et al.  Stability of Wireless and Wireline Networked Control Systems , 2007, IEEE Transactions on Automatic Control.

[18]  J. Edward Colgate,et al.  Implementation of stiff virtual walls in force-reflecting interfaces , 1993, Proceedings of IEEE Virtual Reality Annual International Symposium.

[19]  F. Brooks,et al.  Feeling and seeing: issues in force display , 1990, ACM Symposium on Interactive 3D Graphics and Games.

[20]  N. Dahotre,et al.  Laser Fabrication and Machining of Materials , 2007 .

[21]  Antonio Frisoli,et al.  Haptics technologies and cultural heritage applications , 2002, Proceedings of Computer Animation 2002 (CA 2002).

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

[23]  K. Hedrick,et al.  Networked Control System Design over a Wireless LAN , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[24]  Randy A. Freeman,et al.  Guaranteed stability of haptic systems with nonlinear virtual environments , 2000, IEEE Trans. Robotics Autom..

[25]  Jong-Wook Kim,et al.  Development of a humanoid walking command system using a wireless haptic controller , 2008, 2008 International Conference on Control, Automation and Systems.

[26]  M. Ferre,et al.  Haptic Device for Capturing and Simulating Hand Manipulation Rehabilitation , 2011, IEEE/ASME Transactions on Mechatronics.

[27]  Bo Yu,et al.  Robust mixed H2/H∞ control of networked control systems with random time delays in both forward and backward communication links , 2011, Autom..

[28]  R. Braatz,et al.  A tutorial on linear and bilinear matrix inequalities , 2000 .

[29]  M. Jackson,et al.  Machining with abrasives , 2011 .

[30]  Jeha Ryu,et al.  A directionally transparent energy bounding approach for multiple degree-of-freedom haptic interaction , 2010 .

[31]  James Lam,et al.  Stochastic stabilizability and H∞ control for markovian jump time-delay systems , 1999 .

[32]  Masakazu Kojima,et al.  Branch-and-Cut Algorithms for the Bilinear Matrix Inequality Eigenvalue Problem , 2001, Comput. Optim. Appl..