Modeling and control of flow with dynamical boundary actionsReport as inadecuate




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1 GIPSA-SYSCO - SYSCO GIPSA-DA - Département Automatique 2 UFSC - Universidade Federal de Santa Catarina Florianópolis 3 Universidade federal de Minas Gerais - UFMG BRAZIL

Abstract : 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.





Author: André Caldeira - Christophe Prieur - Daniel Coutinho - Valter Jùnior de Souza Leite -

Source: https://hal.archives-ouvertes.fr/



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