Minimum time control of heterodirectional linear coupled hyperbolic PDEs

Abstract : We solve the problem of stabilizing a general class of linear first-order hyperbolic systems. Considered systems feature an arbitrary number of coupled transport PDEs convecting in either direction. Using the backstepping approach, we derive a full-state feedback law and a boundary observer enabling stabilization by output feedback. Unlike previous results, finite-time convergence to zero is achieved in the theoretical lower bound for control time.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01477700
Contributeur : François Chaplais <>
Soumis le : lundi 27 février 2017 - 15:59:15
Dernière modification le : lundi 12 novembre 2018 - 11:04:31

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J Auriol, Florent Di Meglio. Minimum time control of heterodirectional linear coupled hyperbolic PDEs. Automatica, Elsevier, 2016, 71, pp.300-307. ⟨10.1016/j.automatica.2016.05.030⟩. ⟨hal-01477700⟩

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