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

Abstract : 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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IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (12), 〈10.1109/TAC.2013.2274723〉
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01499945
Contributeur : François Chaplais <>
Soumis le : samedi 1 avril 2017 - 17:47:01
Dernière modification le : mardi 27 mars 2018 - 16:06:18

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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, Institute of Electrical and Electronics Engineers, 2013, 58 (12), 〈10.1109/TAC.2013.2274723〉. 〈hal-01499945〉

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