Strictly Proper Control Design for the Stabilization of 2×2 Linear Hyperbolic ODE-PDE-ODE Systems
Résumé
In this paper, we consider the problem of L 2exponential stabilization of a coupled ODE-hyperbolic PDE-ODE system, where actuation is available through one ODE. Based on the backstepping technique, the system is mapped into an equivalent delay form which allows for the construction of a strictly proper controller realized as a full-state feedback. The result extends previous control designs, lifting some restrictions on the structure of the ODEs under consideration and guaranteeing a non-zero delay margin for the closed-loop system.
Origine : Fichiers produits par l'(les) auteur(s)