Authors

T. Voss, J.M.A. Scherpen

Abstract

In this paper we show how to spatially discretize a distributed port-Hamiltonian (pH) system, which describes the dynamics of an 1-D piezoelectric Euler-Bernoulli beam. Standard spatial discretization schemes for PDE systems have the disadvantage that they typically lead to a finite dimensional system which is not anymore in the pH form. So, there is a need for a spatial discretization scheme which preserves the structure of the system. The problem of spatially discretizing a pH system with constant Stokes-Dirac structures and quadratic energy functions was solved in the past. But here we consider a piezoelectric Euler-Bernouli with nonlinear deformation. So, the Stokes-Dirac structure and energy function of the system are also nonlinear, and this causes some additional problems.

Citation

  • Journal: 2009 European Control Conference (ECC)
  • Year: 2009
  • Volume:
  • Issue:
  • Pages: 850–855
  • Publisher: IEEE
  • DOI: 10.23919/ecc.2009.7074510

BibTeX

@inproceedings{Voss_2009,
  title={{Structure preserving port-Hamiltonian discretization of a 1-D inflatable space reflector}},
  DOI={10.23919/ecc.2009.7074510},
  booktitle={{2009 European Control Conference (ECC)}},
  publisher={IEEE},
  author={Voss, T. and Scherpen, J.M.A.},
  year={2009},
  pages={850--855}
}

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