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Conference Papers Year : 2022

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

Abstract

In this paper, we combine the backstepping methodology and the port Hamiltonian framework to design a boundary full state feedback 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 closedloop 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.
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Dates and versions

hal-03798819 , version 1 (05-10-2022)

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Cite

Jeanne Redaud, Jean Auriol, Yann Le Gorrec. In-domain damping assignment of a Timoshenko-beam using state feedback boundary control. 61st IEEE Conference on Decision and Control (CDC 2022), Dec 2022, Cancun, Mexico. ⟨10.1109/cdc51059.2022.9993273⟩. ⟨hal-03798819⟩
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