A backstepping boundary observer for a class of linear first-order hyperbolic systems

Florent Di Meglio (1) , Miroslav Krstic (2) , Rafael Vazquez (3)

1 CAS - Centre Automatique et Systèmes
2 MAE - UC San Diego - Department of Mechanical and Aerospace Engineering [Univ California San Diego]
3 Departamento de Ingenieria Aeroespacial [Sevilla]

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.

Domaines: Automatique / Robotique

Florent Di Meglio, Miroslav Krstic, Rafael Vazquez. A backstepping boundary observer for a class of linear first-order hyperbolic systems. 2013 European Control Conference (ECC 2013), Jul 2013, Zürich, Switzerland. pp.1597 - 1602. ⟨hal-01499940⟩