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Article Dans Une Revue Automatica Année : 2018

Stabilization of coupled linear heterodirectional hyperbolic PDE–ODE systems

Résumé

We solve the problem of stabilizing a linear ODE having a system of a linearly coupled hyperbolic PDEs in the actuating path. The control design is based on a backstepping approach and yields exponential closed-loop stability of the zero equilibrium. The existence of a Volterra transformation relies on a relatively general well-posedness result for hyperbolic backstepping kernel equations.
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Dates et versions

hal-01376564 , version 1 (05-10-2016)
hal-01376564 , version 2 (14-02-2017)

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Florent Di Meglio, Federico Bribiesca Argomedo, Long Hu, Miroslav Krstic. Stabilization of coupled linear heterodirectional hyperbolic PDE–ODE systems. Automatica, 2018, 87, pp.281-289. ⟨10.1016/j.automatica.2017.09.027⟩. ⟨hal-01376564v2⟩
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