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
收藏
页码：210 / 217
页数：8
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