Passive path following control for port-Hamiltonian systems

Authors

Abstract

This paper is devoted to path following control for port-Hamiltonian systems. The control law presented here is extension of an existing passive velocity field controller for fully actuated mechanical systems. The proposed method employs vector fields on the phase (co-tangent) spaces instead of those on the velocity (tangent) spaces. Since port-Hamiltonian systems can describe a wider class of systems than conventional mechanical ones, the proposed method is applicable to various systems. Furthermore, by making use of the port-Hamiltonian structure of the closed loop system, we can obtain a novel controller to assign the desired total energy. Moreover, a numerical simulation of a simple nonholonomic system exhibits the effectiveness of the proposed method.

Citation

Journal: 2008 47th IEEE Conference on Decision and Control
Year: 2008
Volume:
Issue:
Pages: 1285–1290
Publisher: IEEE
DOI: 10.1109/cdc.2008.4739242

BibTeX

@inproceedings{Fujimoto_2008,
  title={{Passive path following control for port-Hamiltonian systems}},
  DOI={10.1109/cdc.2008.4739242},
  booktitle={{2008 47th IEEE Conference on Decision and Control}},
  publisher={IEEE},
  author={Fujimoto, Kenji and Taniguchi, Mitsuru},
  year={2008},
  pages={1285--1290}
}

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References

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
Ortega, R., Loria, A., Kelly, R. & Praly, L. On passivity‐based output feedback global stabilization of euler‐lagrange systems. International Journal of Robust and Nonlinear Control vol. 5 313–323 (1995) – 10.1002/rnc.4590050407
Duindam, V., Stramigioli, S. & Scherpen, J. M. A. Passive Compensation of Nonlinear Robot Dynamics. IEEE Transactions on Robotics and Automation vol. 20 480–487 (2004) – 10.1109/tra.2004.824693
slotine, Applied nonlinear control (1991)
Li, P. Y. & Horowitz, R. Passive velocity field control of mechanical manipulators. IEEE Transactions on Robotics and Automation vol. 15 751–763 (1999) – 10.1109/70.782030
Hogan, N. Impedance Control: An Approach to Manipulation: Part I—Theory. Journal of Dynamic Systems, Measurement, and Control vol. 107 1–7 (1985) – 10.1115/1.3140702
Salisbury, J. Active stiffness control of a manipulator in cartesian coordinates. 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes (1980) doi:10.1109/cdc.1980.272026 – 10.1109/cdc.1980.272026
Fujimoto, K., Sakurama, K. & Sugie, T. Trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations. Automatica vol. 39 2059–2069 (2003) – 10.1016/j.automatica.2003.07.005
duindam, passive asymptotic curve tracking. Proc IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (2003)
Li, P. Y. & Horowitz, R. Passive velocity field control (PVFC). Part I. Geometry and robustness. IEEE Transactions on Automatic Control vol. 46 1346–1359 (2001) – 10.1109/9.948463
Maschke, B. M. & van der Schaft, A. J. A Hamiltonian approach to stabilization of nonholonomic mechanical systems. Proceedings of 1994 33rd IEEE Conference on Decision and Control vol. 3 2950–2954 – 10.1109/cdc.1994.411344
Fujimoto, K., Sakurama, K. & Sugie, T. Trajectory Tracking Control of Nonholonomic Hamiltonian Systems via Generalized Canonical Transformations. European Journal of Control vol. 10 421–431 (2004) – 10.3166/ejc.10.421-431