Sampled data systems passivity and discrete port-Hamiltonian systems

In this paper, we present a novel way to approach the interconnection of a continuous and a discrete time physical system first presented in . This is done in a way which preserves passivity of the coupled system independently of the sampling time T. This strategy can be used both in the field of telemanipulation, for the implementation of a passive master/slave system on a digital transmission line with varying time delays and possible loss of packets (e.g., the Internet), and in the field of haptics, where the virtual environment should 'feel' like a physical equivalent system.

[1]  Perry Y. Li,et al.  Passive velocity field control (PVFC). Part I. Geometry and robustness , 2001, IEEE Trans. Autom. Control..

[2]  S. Hirche,et al.  Bilateral teleoperation over the internet: the time varying delay problem , 2003, Proceedings of the 2003 American Control Conference, 2003..

[3]  Claudio Melchiorri,et al.  A Comparison of Control Schemes for Teleoperation with Time Delay , 2001 .

[4]  Abderrahmane Kheddar,et al.  A predictive wave-based approach for time delayed virtual environments haptics systems , 2002, Proceedings. 11th IEEE International Workshop on Robot and Human Interactive Communication.

[5]  A. Schaft,et al.  Port controlled Hamiltonian representation of distributed parameter systems , 2000 .

[6]  M. Dalsmo,et al.  Mathematical structures in the network representation of energy-conserving physical systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[7]  Tsuneo Yoshikawa,et al.  Bilateral control with time-varying delay including communication blackout , 2002, Proceedings 10th Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems. HAPTICS 2002.

[8]  A. Schaft,et al.  Hamiltonian formulation of planar beams , 2003 .

[9]  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).

[10]  Arjan van der Schaft,et al.  System theoretic descriptions of physical systems , 1983 .

[11]  Mark W. Spong,et al.  Bilateral control of teleoperators with time delay , 1989 .

[12]  Jean-Jacques E. Slotine,et al.  Stable Adaptive Teleoperation , 1990, 1990 American Control Conference.

[13]  Stefano Stramigioli,et al.  Dealing with unreliabilities in digital passive geometric telemanipulation , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

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

[15]  Stefano Stramigioli,et al.  About the Use of Port Concepts for Passive Geometric Telemanipulation with Varying Time Delays , 2002 .

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

[17]  A. Schaft,et al.  The Hamiltonian formulation of energy conserving physical systems with external ports , 1995 .

[18]  Stefano Stramigioli,et al.  Digital passive geometric telemanipulation , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[19]  Stefano Stramigioli,et al.  Modeling and IPC Control of Interactive Mechanical Systems - A Coordinate-Free Approach , 2001 .

[20]  Sandra Hirche,et al.  Passive position controlled telepresence systems with time delay , 2003, Proceedings of the 2003 American Control Conference, 2003..

[21]  A. Schaft L2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences 218 , 1996 .

[22]  Randy A. Freeman,et al.  Environment delay in haptic systems , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

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

[24]  Stefano Stramigioli From differentiable manifold to interactive robot control , 1998 .

[25]  Stefano Stramigioli,et al.  A Novel Theory for Sample Data Systems , 2002 .

[26]  Stefano Stramigioli,et al.  Geometric grasping and telemanipulation , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[27]  Arjan van der Schaft,et al.  A novel theory for sampled data system passivity , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[28]  Neville Hogan,et al.  Controlling impedance at the man/machine interface , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[29]  Tsuneo Yoshikawa,et al.  Bilateral control with energy balance monitoring under time-varying communication delay , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[30]  Arjan van der Schaft,et al.  Geometric scattering in robotic telemanipulation , 2002, IEEE Trans. Robotics Autom..