Minimum time control of heterodirectional linear coupled hyperbolic PDEs

Jean Auriol (1) , Florent Di Meglio (1)

1 CAS - Centre Automatique et Systèmes

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and m leftward convecting transport PDEs. Using the backstepping approach yields solutions to stabilization in minimal time and observer based output feedback.

Domaines: Equations aux dérivées partielles [math.AP]

Jean Auriol, Florent Di Meglio. Minimum time control of heterodirectional linear coupled hyperbolic PDEs. 2015. ⟨hal-01215600v1⟩