Output-Feedback Stabilization of the Korteweg-de Vries Equation
Analysis of PDEs
2016-03-30 v1
Abstract
The present paper develops boundary output-feedback stabilization of the Korteweg-de Vries (KdV) equation with sensors and an actuator located at different boundaries (anti collocated set-up) using backstepping method. The feedback control law and output injection gains are found using the backstepping method for linear KdV equation. The proof of stability is based on construction of a strict Lyapunov functional which includes the observer states. A numerical simulation is presented to validate the result.
Keywords
Cite
@article{arxiv.1603.08750,
title = {Output-Feedback Stabilization of the Korteweg-de Vries Equation},
author = {Agus Hasan},
journal= {arXiv preprint arXiv:1603.08750},
year = {2016}
}