High-gain observers for a class of 2 × 2 quasilinear hyperbolic systems with 2 different velocities

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

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

In this work we extend recently proposed observer designs based on high-gain to a more general first order quasilinear hyperbolic system of balance laws. This class of systems is written in an observable form with two states, two different characteristic velocities and distributed measurement. The exponential stability of the related observation error is fully established by means of Lyapunov-based analysis.

Mots clés: H 1 exponential stability; high-gain observers; quasilinear hyperbolic systems of balance laws; Lyapunov analysis

Domaines: Automatique; Systèmes et contrôle [cs.SY]; Optimisation et contrôle [math.OC]

Constantinos Kitsos, Gildas Besancon, Christophe Prieur. High-gain observers for a class of 2 × 2 quasilinear hyperbolic systems with 2 different velocities. MECHATRONICS 2019 - NOLCOS 2019 - 8th IFAC Symposium on Mechatronic Systems - 11th IFAC Symposium on Nonlinear Control Systems, Sep 2019, Vienne, Austria. ⟨10.1016/j.ifacol.2019.11.780⟩. ⟨hal-02294962⟩