Observer-based boundary control of distributed port-Hamiltonian systems

Authors

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

Abstract

An observer-based boundary controller for infinite-dimensional port-Hamiltonian systems defined on 1D spatial domains is proposed. The design is based on an early-lumping approach in which a finite-dimensional approximation of the infinite-dimensional system derived by spatial discretization is used to design the observer and the controller. As long as the finite-dimensional approximation approaches the infinite-dimensional model, the performances also do. The main contribution is a constructive method which guarantees that the interconnection between the controller and the infinite-dimensional system is asymptotically stable. A Timoshenko beam model has been used to illustrate the approach.

Keywords

Infinite-dimensional systems; Port-Hamiltonian systems; Boundary control systems; Luenberger observer; State feedback

Citation

• Journal: Automatica
• Year: 2020
• Volume: 120
• Issue:
• Pages: 109130
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2020.109130

BibTeX

@article{Toledo_2020,
  title={{Observer-based boundary control of distributed port-Hamiltonian systems}},
  volume={120},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2020.109130},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Toledo, Jesús and Wu, Yongxin and Ramírez, Héctor and Le Gorrec, Yann},
  year={2020},
  pages={109130}
}

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