Authors

S. Stramigioli, C. Secchi, A.J. van der Schaft, C. Fantuzzi

Abstract

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.

Citation

  • Journal: IEEE Transactions on Robotics
  • Year: 2005
  • Volume: 21
  • Issue: 4
  • Pages: 574–587
  • Publisher: Institute of Electrical and Electronics Engineers (IEEE)
  • DOI: 10.1109/tro.2004.842330

BibTeX

@article{Stramigioli_2005,
  title={{Sampled data systems passivity and discrete port-Hamiltonian systems}},
  volume={21},
  ISSN={1552-3098},
  DOI={10.1109/tro.2004.842330},
  number={4},
  journal={IEEE Transactions on Robotics},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Stramigioli, S. and Secchi, C. and van der Schaft, A.J. and Fantuzzi, C.},
  year={2005},
  pages={574--587}
}

Download the bib file

References

  • Secchi, C., Stramigioli, S. & Fantuzzi, C. Dealing with unreliabilities in digital passive geometric telemanipulation. Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453) vol. 3 2823–2828 – 10.1109/iros.2003.1249298
  • Arioui, H., Kheddar, A. & Mammar, S. A predictive wave-based approach for time delayed virtual environments haptics systems. Proceedings. 11th IEEE International Workshop on Robot and Human Interactive Communication 134–139 doi:10.1109/roman.2002.1045611 – 10.1109/roman.2002.1045611
  • Miller, B. E., Colgate, J. E. & Freeman, R. A. Environment delay in haptic systems. Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065) vol. 3 2434–2439 – 10.1109/robot.2000.846392
  • Bloch, A. M. & Crouch, P. E. Representations of Dirac structures on vector spaces and nonlinear L-C circuits. Proceedings of Symposia in Pure Mathematics 103–117 (1998) doi:10.1090/pspum/064/1654513 – 10.1090/pspum/064/1654513
  • stramigioli, Modeling and IPC Control of Interactive Mechanical Systems A Coordinate Free Approach (2001)
  • golo, hamiltonian formulation of planar beams. Proc 2nd Workshop Lagrangian Hamiltonian Methods Nonlinear Control (2003)
  • paynter, Analysis and Design of Engineering Systems (1960)
  • Stramigioli, S., van der Schaft, A., Maschke, B. & Melchiorri, C. Geometric scattering in robotic telemanipulation. IEEE Transactions on Robotics and Automation vol. 18 588–596 (2002)10.1109/tra.2002.802200
  • horowitz, passive velocity field control (pvfc) part i&#819 geometry and robustntess. IEEE Trans Automat Contr (2001)
  • stramigioli, From differentiable manifolds to interactive robot control (1998)
  • van der Schaft, A. L2 - Gain and Passivity Techniques in Nonlinear Control. Communications and Control Engineering (Springer London, 2000). doi:10.1007/978-1-4471-0507-7 – 10.1007/978-1-4471-0507-7
  • maschke, port controlled hamiltonian representation of distributed parameter sytems. Proc Workshop Modeling Control Lagrangian Hamiltonian Systems (2000)
  • Yokokohji, Y., Imaida, T. & Yoshikawa, T. Bilateral control with energy balance monitoring under time-varying communication delay. Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065) vol. 3 2684–2689 – 10.1109/robot.2000.846433
  • Miller, B. E., Colgate, J. E. & Freeman, R. A. Guaranteed stability of haptic systems with nonlinear virtual environments. IEEE Transactions on Robotics and Automation vol. 16 712–719 (2000) – 10.1109/70.897782
  • Hannaford, B. & Jee-Hwan Ryu. Time-domain passivity control of haptic interfaces. IEEE Transactions on Robotics and Automation vol. 18 1–10 (2002) – 10.1109/70.988969
  • colgate, passivity of a class of sampled-data systems: application to haptic interfaces. Proc American Control Conf (1994)
  • Secchi, C., Stramigioli, S. & Fantuzzi, C. Digital passive geometric telemanipulation. 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422) vol. 3 3290–3295 – 10.1109/robot.2003.1242098
  • Niemeyer, G. & Slotine, J.-J. E. Stable adaptive teleoperation. IEEE Journal of Oceanic Engineering vol. 16 152–162 (1991) – 10.1109/48.64895
  • Salcudean, S. E. & Vlaar, T. D. On the Emulation of Stiff Walls and Static Friction With a Magnetically Levitated Input/Output Device. Journal of Dynamic Systems, Measurement, and Control vol. 119 127–132 (1997) – 10.1115/1.2801204
  • Anderson, R. J. & Spong, M. W. Bilateral control of teleoperators with time delay. IEEE Transactions on Automatic Control vol. 34 494–501 (1989) – 10.1109/9.24201
  • van der schaft, the hamiltonian formulation of energy conserving physical systems with external ports. Arch Elekt &#x00DC bertragung (1995)
  • Courant, T. J. Dirac manifolds. Transactions of the American Mathematical Society vol. 319 631–661 (1990) – 10.2307/2001258
  • stramigioli, about the use of port concepts for passive geometric telemanipulation with varying time delays. Proc 6th Mechatronics Forum Int Conf (2002)
  • van der Schaft, A. J., Dalsmo, M. & Maschke, B. M. Mathematical structures in the network representation of energy-conserving physical systems. Proceedings of 35th IEEE Conference on Decision and Control vol. 1 201–206 – 10.1109/cdc.1996.574296
  • Stramigioli, S., Secchi, C., van der Schaft, A. J. & Fantuzzi, C. A novel theory for sampled data system passivity. IEEE/RSJ International Conference on Intelligent Robots and System vol. 2 1936–1941 – 10.1109/irds.2002.1044039
  • Yokokohji, Y., Tsujioka, T. & Yoshikawa, T. Bilateral control with time-varying delay including communication blackout. Proceedings 10th Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems. HAPTICS 2002 285–292 doi:10.1109/haptic.2002.998970 – 10.1109/haptic.2002.998970
  • Hirche, S. & Buss, M. Passive position controlled telepresence systems with time delay. Proceedings of the 2003 American Control Conference, 2003. vol. 1 168–173 – 10.1109/acc.2003.1238932
  • Chopra, N., Spong, M. W., Hirche, S. & Buss, M. Bilateral teleoperation over the internet: the time varying delay problem. Proceedings of the 2003 American Control Conference, 2003. vol. 1 155–160 – 10.1109/acc.2003.1238930
  • Modelling and Control of Mechanisms and Robots. (1996) doi:10.1142/3156 – 10.1142/3156
  • Secchi, C., Stramigioli, S. & Melchiorri, C. Geometric grasping and telemanipulation. 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) vol. 3 1763–1768 – 10.1109/iros.2001.977233
  • Hogan, N. Controlling impedance at the man/machine interface. Proceedings, 1989 International Conference on Robotics and Automation 1626–1631 doi:10.1109/robot.1989.100210 – 10.1109/robot.1989.100210
  • arcara, a comparison of control schemes for teleoperation with time delay. Proc Conf Telematics Applications (2001)