Feedforward control of a channel flow based on a discretized port-Hamiltonian model

Authors

Paul Kotyczka, Antonio Blancato

Abstract

Systems of conservation laws can be modeled (including dissipation) in an elegant, physically insightful way within the port-Hamiltonian framework. A structure-preserving discretization renders the partial differential equations ordinary ones. In this paper, we show how the structure of the lumped-parameter state representation for two conservation laws on a one-dimensional spatial domain can be exploited to easily formulate different (inverse) models. Based thereon, a simple modular procedure for feedforward controller design is developed, using known results from the dynamic inversion of nonminimum-phase systems. The example of the shallow water equations serves to illustrate the design steps and to present simulation results.

Keywords

Distributed-parameter systems; conservation laws; port-Hamiltonian systems; discretization; feedforward control; stable dynamic inversion

Citation

• Journal: IFAC-PapersOnLine
• Year: 2015
• Volume: 48
• Issue: 13
• Pages: 194–199
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2015.10.238
• Note: 5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2015- Lyon, France, 4–7 July 2015

BibTeX

@article{Kotyczka_2015,
  title={{Feedforward control of a channel flow based on a discretized port-Hamiltonian model}},
  volume={48},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2015.10.238},
  number={13},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Kotyczka, Paul and Blancato, Antonio},
  year={2015},
  pages={194--199}
}

Download the bib file

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