Output feedback stabilization of the Korteweg-de Vries equation

被引：24

作者：

Marx, Swann ^{[1
]}

Cerpa, Eduardo ^{[2
]}

机构：

[1] Univ Grenoble Alpes, CNRS, GIPSA Lab, F-38000 Grenoble, France

[2] Univ Tecn Federico Santa Maria, Dept Matemat, Avda Espana 1680, Valparaiso, Chile

来源：

AUTOMATICA | 2018年 / 87卷

关键词：

Korteweg-de Vries equation; Output feedback; Backstepping Nonlinear system; LINEAR KDV EQUATION; GLOBAL STABILIZATION; NULL CONTROLLABILITY; SYSTEMS;

D O I：

10.1016/j.automatica.2017.07.057

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：210 / 217

页数：8

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