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Communication Dans Un Congrès Année : 2014

Boundary control synthesis for hyperbolic systems: A singular perturbation approach

Résumé

In this paper, we consider the problem of boundary control of a class of linear hyperbolic systems of conservation laws based on the singular perturbation method. The full hyperbolic system is written as two subsystems, namely the reduced system representing the slow dynamics and the boundary-layer system standing for the fast dynamics. By choosing the boundary conditions for the reduced system as zero, the slow dynamics is stabilized in finite time. The main result is illustrated with a design of boundary control for a linearized Saint-Venant–Exner system. The stabilization of the full system is achieved with different boundary conditions for the fast dynamics.
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hal-01144135 , version 1 (21-04-2015)

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Ying Tang, Christophe Prieur, Antoine Girard. Boundary control synthesis for hyperbolic systems: A singular perturbation approach. CDC 2014 - 53rd IEEE Conference on Decision and Control, Dec 2014, Los Angeles, United States. pp.2840-2845, ⟨10.1109/CDC.2014.7039825⟩. ⟨hal-01144135⟩
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