Linear Matrix Inequality Design of Exponentially Stabilizing Observer-Based State Feedback Port-Hamiltonian Controllers

Authors

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

Abstract

The design of an observer-based state feedback controller with guaranteed passivity properties for port-Hamiltonian systems (PHS) is addressed using linear matrix inequalities (LMIs). The observer gain is freely chosen and the LMIs conditions such that the state feedback is equivalent to control by interconnection with an input strictly passive and/or an output strictly passive and zero-state detectable port-Hamiltonian controller are established. It is shown that the proposed controller exponentially stabilizes a class of infinite-dimensional PHS and asymptotically stabilizes a class of finite-dimensional nonlinear PHS. A Timoshenko beam model and a microelectromechanical system are used to illustrate the proposed approach.

Citation

• Journal: IEEE Transactions on Automatic Control
• Year: 2023
• Volume: 68
• Issue: 10
• Pages: 6184–6191
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/tac.2022.3227927

BibTeX

@article{Zucco_2023,
  title={{Linear Matrix Inequality Design of Exponentially Stabilizing Observer-Based State Feedback Port-Hamiltonian Controllers}},
  volume={68},
  ISSN={2334-3303},
  DOI={10.1109/tac.2022.3227927},
  number={10},
  journal={IEEE Transactions on Automatic Control},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Zucco, Jesus Pablo Toledo and Ramirez, Hector and Wu, Yongxin and Le Gorrec, Yann},
  year={2023},
  pages={6184--6191}
}

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References

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