A high-gain observer for a class of 2x2 hyperbolic systems with C~1 exponential convergence

摘要

This paper extends a recently proposed observer design 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 and a distributed measurement. The exponential stability of the related observation error is fully established by means of Lyapunov-based analysis.