Output feedback control of the linear Korteweg-de Vries equation

Swann Marx (1) , Eduardo Cerpa (2)

1 SATIE - Systèmes et Applications des Technologies de l'Information et de l'Energie
2 Departemento de Matematica

— This paper presents the design of an output feedback control for a linear Korteweg-de Vries equation. This design is based on the backstepping method which uses a Volterra transformation. An appropriate observer is introduced and the exponential stability of the closed-loop system is proven.

Mots clés: Korteweg-de Vries equation; backstepping; Output feedback

Domaines: Automatique / Robotique; Equations aux dérivées partielles [math.AP]

Swann Marx, Eduardo Cerpa. Output feedback control of the linear Korteweg-de Vries equation. CDC 2014, Dec 2014, Los Angeles, United States. pp.2083 - 2087, ⟨10.1109/CDC.2014.7039705⟩. ⟨hal-01120749⟩