Robust regulation for first-order port-hamiltonian systems

Authors

Jukka-Pekka Humaloja, Lassi Paunonen, Seppo Pohjolainen

Abstract

We present a method for obtaining robust control over a first-order port-Hamiltonian system. The presented method is especially designed for controlling impedance energy-preserving port-Hamiltonian systems. By combining the stabilization results of port-Hamiltonian systems and the theory of robust output regulation for exponentially stable systems, we design a simple finite-dimensional controller for an unstable system that together with output feedback achieves robust output regulation. The method is demonstrated on an example where we implement a robust regulating controller for the one-dimensional wave equation with boundary control and observation.

Citation

• Journal: 2016 European Control Conference (ECC)
• Year: 2016
• Volume:
• Issue:
• Pages: 2203–2208
• Publisher: IEEE
• DOI: 10.1109/ecc.2016.7810618

BibTeX

@inproceedings{Humaloja_2016,
  title={{Robust regulation for first-order port-hamiltonian systems}},
  DOI={10.1109/ecc.2016.7810618},
  booktitle={{2016 European Control Conference (ECC)}},
  publisher={IEEE},
  author={Humaloja, Jukka-Pekka and Paunonen, Lassi and Pohjolainen, Seppo},
  year={2016},
  pages={2203--2208}
}

Download the bib file

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