Output Feedback Stabilization of a 2D Uncertain Port Hamiltonian Distributed Parameter System with Toroidal Chaos

Authors

F. E. Serrano, V. Puig, J. Munoz-Pacheco

Abstract

This paper proposes an output feedback stabilization approach for 2-D nonlinear port-Hamiltonian distributed parameter system. The 2D Navier-Stokes equations present a chaotic toroidal behavior that occurs in fluid systems. First, the problem formulation consists into establishing the NavierStokes equation into the port-Hamiltonian formulation by implementing the Dirac structure operators. Then, by considering the energy characteristics of the port-Hamiltonian system, an output feedback controller is designed by considering the appropriate Lyapunov functional. A numerical experiment is performed to validate the theoretical results obtained in this research study. Finally, the respective discussions and conclusions of the paper are presented.

Citation

• Journal: 2025 International Conference on Control, Automation and Diagnosis (ICCAD)
• Year: 2025
• Volume:
• Issue:
• Pages: 1–6
• Publisher: IEEE
• DOI: 10.1109/iccad64771.2025.11099487

BibTeX

@inproceedings{Serrano_2025,
  title={{Output Feedback Stabilization of a 2D Uncertain Port Hamiltonian Distributed Parameter System with Toroidal Chaos}},
  DOI={10.1109/iccad64771.2025.11099487},
  booktitle={{2025 International Conference on Control, Automation and Diagnosis (ICCAD)}},
  publisher={IEEE},
  author={Serrano, F. E. and Puig, V. and Munoz-Pacheco, J.},
  year={2025},
  pages={1--6}
}

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References

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