Authors

Fernando Castaños, Bayu Jayawardhana, Romeo Ortega, Eloísa García-Canseco

Abstract

In this note we identify graph-theoretic conditions which allow to write an RLC circuit as port-Hamiltonian with constant input matrices. We show that under additional monotonicity conditions of the network’s components, the circuit enjoys the property of relative passivity, an extended notion of classical passivity. The property of relative passivity is then used to build simple, yet robust and globally stable, Proportional plus Integral controllers.

Keywords

nonlinear networks, passivity, port-hamiltonian systems, stability, stabilization

Citation

  • Journal: IFAC Proceedings Volumes
  • Year: 2008
  • Volume: 41
  • Issue: 2
  • Pages: 6202–6207
  • Publisher: Elsevier BV
  • DOI: 10.3182/20080706-5-kr-1001.01047
  • Note: 17th IFAC World Congress

BibTeX

@article{Casta_os_2008,
  title={{A Class of Nonlinear RLC Circuits Globally Stabilizable by Proportional plus Integral Controllers}},
  volume={41},
  ISSN={1474-6670},
  DOI={10.3182/20080706-5-kr-1001.01047},
  number={2},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Castaños, Fernando and Jayawardhana, Bayu and Ortega, Romeo and García-Canseco, Eloísa},
  year={2008},
  pages={6202--6207}
}

Download the bib file

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