OUTPUT FEEDBACK CONTROL OF A CASCADE SYSTEM OF LINEAR KORTEWEG-DE VRIES EQUATIONS
No Thumbnail Available
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
This paper is about the stabilization of a cascade system of n linear Korteweg-de Vries equations in a bounded interval. It considers an output feedback control placed at the left endpoint of the last equation, while the output involves only the solution to the first equation. The boundary control problems investigated include two cases: a classical control on the Dirichlet boundary condition and a less standard one on its second-order derivative. The feedback control law utilizes the estimated solutions of a high-gain observer system, and the output feedback control leads to stabilization for any n for the first boundary conditions case and for n = 2 for the second one.
Description
Keywords
Korteweg-de Vries equation, cascade systems, output feedback control