Time-varying path following control for port-Hamiltonian systems
Authors
Mitsuru Taniguchi, Kenji Fujimoto
Abstract
This paper is devoted to path following control for port-Hamiltonian systems whose desired path is time-varying. Most of the existing results on path following can only take care of time invariant paths, hence they cannot be applied to control systems whose environments change, e.g., path following control with moving obstacle avoidance or with a path crossing itself. The proposed method solves this problem by employing decoupling control of three particular directions in the phase space which allows one to assign time-varying potential functions and vector fields.
Citation
- Journal: Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
- Year: 2009
- Volume:
- Issue:
- Pages: 3323–3328
- Publisher: IEEE
- DOI: 10.1109/cdc.2009.5400011
BibTeX
@inproceedings{Taniguchi_2009,
title={{Time-varying path following control for port-Hamiltonian systems}},
DOI={10.1109/cdc.2009.5400011},
booktitle={{Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference}},
publisher={IEEE},
author={Taniguchi, Mitsuru and Fujimoto, Kenji},
year={2009},
pages={3323--3328}
}
References
- 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
- 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
- slotine, Applied nonlinear control (1991)
- 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
- duindam, Passive asymptotic curve tracking. Proc IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (2003)
- 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
- Fujimoto, K. & Taniguchi, M. Passive path following control for port-Hamiltonian systems. 2008 47th IEEE Conference on Decision and Control 1285–1290 (2008) doi:10.1109/cdc.2008.4739242 – 10.1109/cdc.2008.4739242
- 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
- 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