Sampled-data Control for a Class of Linear Hyperbolic System via the Lyapunov-Razumikhin Technique

Xinyong Wang (1) , Christophe Fiter (1) , Ying Tang (1) , Laurentiu Hetel (1)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189

This work investigates the stability for a class of linear hyperbolic systems with distributed sampled-data controllers. First, we convert the original system into an equivalent system in which the sampling induced error is modeled as a reset integrator. Then by means of an appropriate Lyapunov function coupled with the Razumikhin technique, sufficient conditions are given for the Rε-stability of the system. Finally, our results are validated by a numerical example.

Domaines: Automatique / Robotique

Xinyong Wang, Christophe Fiter, Ying Tang, Laurentiu Hetel. Sampled-data Control for a Class of Linear Hyperbolic System via the Lyapunov-Razumikhin Technique. European Control Conference 21, Jun 2021, Virtual Conference, Netherlands. ⟨hal-02566290v3⟩