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Communication Dans Un Congrès Année : 2015

Modeling and control of flow with dynamical boundary actions

Résumé

In this paper a flow inside a pipe is modeled by a hyperbolic system (written in terms of a partial differential equation). One boundary condition is given by the coupling with a finite-dimensional dynamic model of heating column and a static modeling of ventilator. Then, the classical finite-dimensional technique is applied for the linearization of first order hyperbolic systems with dynamics associated to the boundary conditions. The discretization of the infinite-dimensional system is used and an augmented discrete linear system with dimension depending on the step size of discretization in space is obtained. The results are illustrated on simulations considering a Poiseuille flow experimental setup.
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Dates et versions

hal-01235437 , version 1 (30-11-2015)

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André Caldeira, Christophe Prieur, Daniel Coutinho, Valter Jùnior de Souza Leite. Modeling and control of flow with dynamical boundary actions. MSC 2015 - IEEE Multi-Conference on Systems and Control, Sep 2015, Sydney, Australia. ⟨10.1109/CCA.2015.7320835⟩. ⟨hal-01235437⟩
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