Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String

Authors

Tobias Malzer, Hubert Rams, Bernd Kolar, Markus Schoberl

Abstract

In this letter, the behaviour of the observer error of an in-domain actuated vibrating string, where the observer system has been designed based on energy considerations exploiting a port-Hamiltonian system representation for infinite-dimensional systems, is analysed. Thus, the observer-error dynamics are reformulated as an abstract Cauchy problem, which enables to draw conclusions regarding the well-posedness of the observer-error system. Furthermore, we show that the observer error is asymptotically stable by applying LaSalle’s invariance principle.

Citation

• Journal: IEEE Control Systems Letters
• Year: 2021
• Volume: 5
• Issue: 4
• Pages: 1237–1242
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/lcsys.2020.3025414

BibTeX

@article{Malzer_2021,
  title={{Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String}},
  volume={5},
  ISSN={2475-1456},
  DOI={10.1109/lcsys.2020.3025414},
  number={4},
  journal={IEEE Control Systems Letters},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Malzer, Tobias and Rams, Hubert and Kolar, Bernd and Schoberl, Markus},
  year={2021},
  pages={1237--1242}
}

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References

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