A backstepping boundary observer for a class of linear first-order hyperbolic systems
Résumé
We investigate the boundary observer design prob- lem for a class of linear first-order hyperbolic systems on a finite space domain with spatially varying parameters. The system features one negative transport speed and an arbitrary fixed number n of positive transport speeds. Using a backstepping approach, the distributed states are estimated from a single boundary measurement, as illustrated in presented numerical simulations.