Output feedback stabilization of the Korteweg-de Vries equation *
Swann Marx (GIPSA-SYSCO), Eduardo Cerpa (UTFSM)
TL;DR
This paper develops an output feedback control law for the Korteweg-de Vries equation using backstepping and observer design, proving local exponential stability and supporting results with numerical simulations.
Contribution
It introduces a novel output feedback control approach for the Korteweg-de Vries equation based on backstepping and observer techniques.
Findings
Proves local exponential stability of the closed-loop system.
Designs an effective observer for the Korteweg-de Vries equation.
Numerical simulations confirm theoretical stability results.
Abstract
This paper presents an output feedback control law for the Korteweg-de Vries equation. The control design is based on the backstepping method and the introduction of an appropriate observer. The local exponential stability of the closed-loop system is proven. Some numerical simulations are shown to illustrate this theoretical result.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Nonlinear Photonic Systems