A high-gain observer for a class of 2x2 hyperbolic systems withC1 exponential convergence

Constantinos Kitsos (1) , Gildas Besancon (1) , Christophe Prieur (1)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

This paper extends a recently proposed observerdesign based on high-gain to a more general firstorder quasilinear hyperbolic system of balance laws.This class of systems is written in an observable formwith two states and a distributed measurement. Theexponential stability of the related observation error isfully established by means of Lyapunov-based analysis.

Mots clés: high-gain observers; quasilinear hy- perbolic systems of balance laws; Lyapunov analysis; C 1 exponential stability

Domaines: Automatique / Robotique

Constantinos Kitsos, Gildas Besancon, Christophe Prieur. A high-gain observer for a class of 2x2 hyperbolic systems withC1 exponential convergence. CPDE 2019 - 3rd IFAC/IEEE CSS Workshop on Control of Systems Governed by Partial Differential Equations, May 2019, Oaxaca, Mexico. ⟨10.1016/j.ifacol.2019.08.031⟩. ⟨hal-02090462⟩