Analysis of PDEs

Output feedback control of the linear Korteweg-de Vries equation

Published on - CDC 2014

Authors: Swann Marx, Eduardo Cerpa

— 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.