Output feedback control of the linear Korteweg-de Vries equation
Swann Marx (SATIE), Eduardo Cerpa
TL;DR
This paper develops an output feedback control strategy for the linear Korteweg-de Vries equation using backstepping and Volterra transformations, ensuring exponential stability of the controlled system.
Contribution
It introduces a novel observer-based feedback control design for the linear Korteweg-de Vries equation utilizing backstepping and Volterra transformations.
Findings
Exponential stability of the closed-loop system is proven.
A new observer for the linear KdV equation is constructed.
The control design is validated theoretically.
Abstract
- 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.
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