Stabilization of coupled linear heterodirectional hyperbolic PDE–ODE systems

Florent Di Meglio (1) , Federico Bribiesca Argomedo (2) , Long Hu (3) , Miroslav Krstic (4)

1 CAS - Centre Automatique et Systèmes
2 MIS - Ampère, Département Méthodes pour l'Ingénierie des Systèmes
3 Fudan University [Shanghai]
4 MAE - UC San Diego - Department of Mechanical and Aerospace Engineering [Univ California San Diego]

We solve the problem of stabilizing a linear ODE having a system of a linearly coupled hyperbolic PDEs in the actuating and sensing paths. The system is exponentially stabilized by mapping it to a target system with a cascade structure using a Volterra transformation.

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]; Automatique / Robotique

Florent Di Meglio, Federico Bribiesca Argomedo, Long Hu, Miroslav Krstic. Stabilization of coupled linear heterodirectional hyperbolic PDE–ODE systems. 2016. ⟨hal-01376564v1⟩