Passive observers for distributed port-Hamiltonian systems

Authors

Jesús Toledo, Héctor Ramirez, Yongxin Wu, Yann Le Gorrec

Abstract

The observer design for 1D boundary controlled infinite-dimensional systems is addressed using the port-Hamiltonian approach. The observer is defined by the same partial differential equations as the original system and the boundary conditions depend on the available information from sensors and actuators. The convergence of the observers is proved to be asymptotically or exponentially under some conditions. The vibrating string and the Timoshenko beam are used to illustrate the observer convergence in different scenarios.

Keywords

Observer design; port-Hamiltonian distributed parameter systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2020
• Volume: 53
• Issue: 2
• Pages: 7587–7592
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2020.12.1356
• Note: 21st IFAC World Congress- Berlin, Germany, 11–17 July 2020

BibTeX

@article{Toledo_2020,
  title={{Passive observers for distributed port-Hamiltonian systems}},
  volume={53},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2020.12.1356},
  number={2},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Toledo, Jesús and Ramirez, Héctor and Wu, Yongxin and Gorrec, Yann Le},
  year={2020},
  pages={7587--7592}
}

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