Structure Preserving Adaptive Control of Port-Hamiltonian Systems

Authors

Daniel A. Dirksz, Jacquelien M. A. Scherpen

Abstract

In this technical note, an adaptive control scheme is presented for general port-Hamiltonian systems. Adaptive control is used to compensate for control errors that are caused by unknown or uncertain parameter values of a system. The adaptive control is also combined with canonical transformation theory for port-Hamiltonian systems. This allows for the adaptive control to be applied on a large class of systems and for being included in the port-Hamiltonian framework.

Citation

• Journal: IEEE Transactions on Automatic Control
• Year: 2012
• Volume: 57
• Issue: 11
• Pages: 2880–2885
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/tac.2012.2192359

BibTeX

@article{Dirksz_2012,
  title={{Structure Preserving Adaptive Control of Port-Hamiltonian Systems}},
  volume={57},
  ISSN={1558-2523},
  DOI={10.1109/tac.2012.2192359},
  number={11},
  journal={IEEE Transactions on Automatic Control},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Dirksz, Daniel A. and Scherpen, Jacquelien M. A.},
  year={2012},
  pages={2880--2885}
}

Download the bib file

References

• maschke, Port-controlled Hamiltonian systems: Modeling origins and system-theoretic properties. Proc IFAC Symp Nonlin Control Syst (1992)
• Ortega, R. & Spong, M. W. Adaptive motion control of rigid robots: A tutorial. Automatica vol. 25 877–888 (1989) – 10.1016/0005-1098(89)90054-x
• Ortega, R., Loría, A., Nicklasson, P. J. & Sira-Ramírez, H. Passivity-Based Control of Euler-Lagrange Systems. Communications and Control Engineering (Springer London, 1998). doi:10.1007/978-1-4471-3603-3 – 10.1007/978-1-4471-3603-3
• Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica vol. 38 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
• Ortega, R., Spong, M. W., Gomez-Estern, F. & Blankenstein, G. Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment. IEEE Transactions on Automatic Control vol. 47 1218–1233 (2002) – 10.1109/tac.2002.800770
• Panteley, E., Ortega, R. & Gäfvert, M. An adaptive friction compensator for global tracking in robot manipulators. Systems & Control Letters vol. 33 307–313 (1998) – 10.1016/s0167-6911(97)00113-8
• preumont, Vibration Control of Active Structures an Introduction (2002)
• 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
• Slotine, J.-J. E. & Li Weiping. Adaptive manipulator control: A case study. IEEE Transactions on Automatic Control vol. 33 995–1003 (1988) – 10.1109/9.14411
• slotine, Applied nonlinear control (1991)
• fujimoto, Time-varying stabilization of nonholonomic Hamiltonian systems via canonical transformations. Proc Amer Control Conf (2000)
• dirksz, Apdative tracking control of fully actuated port-Hamiltonian mechanical systems. Proc IEEE Muli-Conf Syst Control (2010)
• 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
• Fujimoto, K. & Sugie, T. Canonical transformation and stabilization of generalized Hamiltonian systems. Systems & Control Letters vol. 42 217–227 (2001) – 10.1016/s0167-6911(00)00091-8
• khalil, Nonlinear Systems (1996)
• jayawardhana, Tracking and disturbance rejection for fully actuated mechanical systems. Automatica (2009)
• Bonivento, C., Gentili, L. & Paoli, A. Internal model based fault tolerant control of a robot manipulator. 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) 5260-5265 Vol.5 (2004) doi:10.1109/cdc.2004.1429643 – 10.1109/cdc.2004.1429643
• Astolfi, A., Karagiannis, D. & Ortega, R. Towards applied nonlinear adaptive control. Annual Reviews in Control vol. 32 136–148 (2008) – 10.1016/j.arcontrol.2008.08.003
• krstic, Nonlinear and Adaptive Control Design (1995)
• Wang, Y., Feng, G. & Cheng, D. Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems. Automatica vol. 43 403–415 (2007) – 10.1016/j.automatica.2006.09.008