In-domain damping assignment of a Timoshenko-beam using state feedback boundary control

Authors

Jeanne Redaud, Jean Auriol, Yann Le Gorrec

Abstract

In this paper, we combine the backstepping methodology and the port Hamiltonian framework to design a boundary full-state feedback controller that modifies the closed-loop in-domain damping of a Timoshenko beam. The beam under consideration is clamped in one end of its spatial domain and actuated at the opposite one. The port Hamiltonian formulation is used to derive several boundedly invertible transformations that map the original system into an exponentially stable closed-loop target system with additional in-domain damping terms. The proposed methodology allows the introduction of tuning parameters with clear physical interpretations for achievable closed-loop behavior. Simulations illustrate the performances of the controller.

Citation

• Journal: 2022 IEEE 61st Conference on Decision and Control (CDC)
• Year: 2022
• Volume:
• Issue:
• Pages: 5405–5410
• Publisher: IEEE
• DOI: 10.1109/cdc51059.2022.9993273

BibTeX

@inproceedings{Redaud_2022,
  title={{In-domain damping assignment of a Timoshenko-beam using state feedback boundary control}},
  DOI={10.1109/cdc51059.2022.9993273},
  booktitle={{2022 IEEE 61st Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Redaud, Jeanne and Auriol, Jean and Gorrec, Yann Le},
  year={2022},
  pages={5405--5410}
}

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References

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