Parabolic matching of hyperbolic system using Control by Interconnection

Authors

N.M. Trang Vu, V. Trenchant, H. Ramirez, L. Lefèvre, Y. Le Gorrec

Abstract

The structural difference between one-dimensional (1D) hyperbolic and parabolic port Hamiltonian system (PHS) is discussed. Then, using a Control by Interconnection (CbI) approach, a distributed state feedback is designed in order to transform an hyperbolic PHS into a parabolic one, the latter being asymptotically stable and even purely dissipative (with no oscillating modes). Distributed wave damping in 1D vibro-acoustic pipes, using piezo actuators, is considered as an illustration example for the proposed control design.

Keywords

Port Hamiltonian systems (PHS); distributed parameters systems (DPS); Control by Interconnection (CbI); feedback equivalence with distributed control; Interconnection; Damping Assignment Passivity Based Control (IDA-PBC)

Citation

• Journal: IFAC-PapersOnLine
• Year: 2017
• Volume: 50
• Issue: 1
• Pages: 5574–5579
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2017.08.1101
• Note: 20th IFAC World Congress

BibTeX

@article{Trang_Vu_2017,
  title={{Parabolic matching of hyperbolic system using Control by Interconnection}},
  volume={50},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2017.08.1101},
  number={1},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Trang Vu, N.M. and Trenchant, V. and Ramirez, H. and Lefèvre, L. and Le Gorrec, Y.},
  year={2017},
  pages={5574--5579}
}

Download the bib file

References

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