A comparative study of reduced model based boundary control design for linear port Hamiltonian systems

Authors

Cristobal Ponce, Hector Ramirez, Yann Le Gorrec, Francisco Vargas

Abstract

A comparative study of passivity based boundary control design for a class of infinite dimensional port-Hamiltonian system using two different model reduction approaches is presented. The first approach is based on a direct low order structure preserving discretization while the second approach arise from the structure preserving model reduction of a high order discretzed model. Two passivity-based control techniques, namely control by interconnection and damping injection, are used to change the equilibrium point and the convergence rate of the closed-loop system. An Euler-Bernoulli beam example is used to illustrate the findings by means of discussion and numerical simulations.

Keywords

Infinite dimensional system; port-Hamiltonian systems; passivity-based control; spatial discretization; model reduction

Citation

• Journal: IFAC-PapersOnLine
• Year: 2022
• Volume: 55
• Issue: 26
• Pages: 107–112
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2022.10.385
• Note: 4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2022- Kiel, Germany, September 5-7, 2022

BibTeX

@article{Ponce_2022,
  title={{A comparative study of reduced model based boundary control design for linear port Hamiltonian systems}},
  volume={55},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2022.10.385},
  number={26},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Ponce, Cristobal and Ramirez, Hector and Gorrec, Yann Le and Vargas, Francisco},
  year={2022},
  pages={107--112}
}

Download the bib file

References

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