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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2013

Stabilization of a system of n+1 coupled first-order hyperbolic linear PDEs with a single boundary input

Résumé

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and one leftward convecting transport PDE. We design a controller, which requires a single control input applied on the leftward convecting PDE's right boundary, and an observer, which employs a single sensor on the same PDE's left boundary. We prove exponential stability of the origin of the resulting plant-observer-controller system in the spatial L2-sense.
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Dates et versions

hal-01499945 , version 1 (01-04-2017)

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Florent Di Meglio, Rafael Vasquez, Miroslav Krstic. Stabilization of a system of n+1 coupled first-order hyperbolic linear PDEs with a single boundary input. IEEE Transactions on Automatic Control, 2013, 58 (12), ⟨10.1109/TAC.2013.2274723⟩. ⟨hal-01499945⟩
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