Observer design for 1-D boundary controlled port-Hamiltonian systems with different boundary measurements

Authors

Jesus Toledo, Yongxin Wu, Hector Ramirez, Yann Le Gorrec

Abstract

This paper investigates the observer design for the 1D boundary controlled port-Hamiltonian systems (BC-PHS) using the late lumping approach. Different observers are proposed for BC-PHS with different measured boundary variables. Based on the passivity propriety of the BC-PHS, sufficient conditions of the observer error convergence are provided for the different proposed observers. The wave equation is used to illustrate the effectiveness of the proposed observers with different boundary sensing.

Keywords

Distributed port-Hamiltonian systems; Observer design; Boundary measurements; Exponential stability; Asymptotic stability

Citation

• Journal: IFAC-PapersOnLine
• Year: 2022
• Volume: 55
• Issue: 26
• Pages: 95–100
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2022.10.383
• Note: 4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2022- Kiel, Germany, September 5-7, 2022

BibTeX

@article{Toledo_2022,
  title={{Observer design for 1-D boundary controlled port-Hamiltonian systems with different boundary measurements}},
  volume={55},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2022.10.383},
  number={26},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Toledo, Jesus and Wu, Yongxin and Ramirez, Hector and Gorrec, Yann Le},
  year={2022},
  pages={95--100}
}

Download the bib file

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