High-Gain Observers for a Class of 2x2 Quasilinear Hyperbolic Systems with 2 Different Velocities

Abstract

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. Keywords: high-gain observers, quasilinear hyperbolic systems of balance laws, Lyapunov analysis, H^1 exponential stability.