Design of Saturated Boundary Control for Hyperbolic Systems

Suha Shreim (1) , Francesco Ferrante (1) , Christophe Prieur (1)

1 GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics

This paper deals with the stabilization of 1-D linear hyperbolic systems with saturated feedback boundary control. By following a Lyapunov approach, sufficient conditions for global exponential stability in the L 2 norm are given in the form of matrix inequalities. Numerical examples are presented to illustrate the theoretical results.

Mots clés: infinite dimensional systems; Lyapunov methods; saturation functions; hyperbolic systems; Nonlinear systems

Domaines: Automatique

Suha Shreim, Francesco Ferrante, Christophe Prieur. Design of Saturated Boundary Control for Hyperbolic Systems. IFAC WC 2020 - 21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. pp.5342--5347, ⟨10.1016/j.ifacol.2020.12.1223⟩. ⟨hal-02893790⟩