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Communication Dans Un Congrès Année : 2020

Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity

Résumé

We propose a new design technique for the stabilization of coupled ODE-PDE systems in feedforward form. In particular, we address the stabilization problem of a one-dimensional transport equation driven by a scalar ODE which is controlled via a cone-bounded nonlinearity. The unforced transport equation is conservative but not asymptotically stable. The proposed technique is inspired by the forwarding approach early introduced in the 90's. Well-posedness and asymptotic stability of the closed-loop system are discussed.
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Dates et versions

hal-02971503 , version 1 (19-10-2020)
hal-02971503 , version 2 (23-10-2020)

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Swann Marx, Lucas Brivadis, Daniele Astolfi. Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity. 59th IEEE Conference on Decision and Control, Dec 2020, Jeju Island, South Korea. ⟨hal-02971503v2⟩
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