Problems on time-varying port-controlled Hamiltonian systems: geometric structure and dissipative realization

Authors

Abstract

To apply time-varying port-controlled Hamiltonian (PCH) systems to practical control designs, two basic problems should be dealt with: one is how to provide such time-varying systems a geometric structure to guarantee the completeness of representations in mathematics; and the other is how to express the practical system under consideration as a time-varying PCH system, which is called the dissipative Hamiltonian realization problem. The paper investigates the two basic problems. A suitable geometric structure for time-varying PCH systems is proposed first. Then the dissipative realization problem of time-varying nonlinear systems is investigated, and serval new methods and sufficient conditions are presented for the realization.

Keywords

Time-varying PCH system; Geometric structure; Dissipative Hamiltonian realization

Citation

Journal: Automatica
Year: 2005
Volume: 41
Issue: 4
Pages: 717–723
Publisher: Elsevier BV
DOI: 10.1016/j.automatica.2004.11.006

BibTeX

@article{Wang_2005,
  title={{Problems on time-varying port-controlled Hamiltonian systems: geometric structure and dissipative realization}},
  volume={41},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2004.11.006},
  number={4},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Wang, Yuzhen and Cheng, Daizhan and Hu, Xiaoming},
  year={2005},
  pages={717--723}
}

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