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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2018

Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs

Jean Auriol
Florent Di Meglio

Résumé

We solve the problem of stabilizing a general class of linear first-order hyperbolic systems using actuation at both boundaries of the spatial domain. We design a novel Fredholm transformation similarly to backstepping approaches to derive a boundary controller and a boundary observer enabling stabilization by output feedback. This yields an explicit full-state feedback law that achieves the theoretical lower bound for convergence to zero.
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Dates et versions

hal-01318708 , version 1 (19-05-2016)
hal-01318708 , version 2 (04-08-2016)
hal-01318708 , version 3 (28-11-2016)

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Jean Auriol, Florent Di Meglio. Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs. IEEE Transactions on Automatic Control, inPress, ⟨10.1109/TAC.2017.2763320⟩. ⟨hal-01318708v3⟩
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