Some Remarks on Distributed PCHD‐Systems

Authors

Kurt Schlacher, Helmut Ennsbrunner

Abstract

Port controlled Hamiltonian systems with dissipation are a well known tool for the modeling and the controller design for plants, described by nonlinear ordinary differential equations. This contribution presents a possible extension to systems, described by partial differential equations, where the state manifold and the input space of the ODE case are replaced by new geometric structures. This approach takes dissipative effects into account and shows, how distributed ports can be introduced. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Citation

• Journal: PAMM
• Year: 2005
• Volume: 5
• Issue: 1
• Pages: 185–186
• Publisher: Wiley
• DOI: 10.1002/pamm.200510070

BibTeX

@article{Schlacher_2005,
  title={{Some Remarks on Distributed PCHD‐Systems}},
  volume={5},
  ISSN={1617-7061},
  DOI={10.1002/pamm.200510070},
  number={1},
  journal={PAMM},
  publisher={Wiley},
  author={Schlacher, Kurt and Ennsbrunner, Helmut},
  year={2005},
  pages={185--186}
}

Download the bib file

References

• Giachetta, G., Mangiarotti, L. & Sardanashvily, G. New Lagrangian and Hamiltonian Methods in Field Theory. (1997) doi:10.1142/2199 – 10.1142/2199
• Saunders, D. J. The Geometry of Jet Bundles. (1989) doi:10.1017/cbo9780511526411 – 10.1017/cbo9780511526411
• 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