Output-Feedback Stabilization of an Anti-stable Schrodinger Equation by Boundary Feedback with Only Displacement Observation

被引：11
|
作者：
Liu, Jun-Jun [1 ]
Wang, Jun-Min [1 ]
机构：
[1] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2013年 / 19卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Stability; Observer; Boundary control; Output feedback; Backstepping method; WAVE-EQUATION; CONTROLLABILITY;
D O I：
10.1007/s10883-013-9189-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider a problem of stabilization of a one-dimensional anti-stable linearized Schrodinger equation subject to boundary control. The controller is designed through the estimated state and is designed in the case that only displacement is available. The method of "backstepping" is adopted in the investigation. We then combine the control and observer designs into an output-feedback compensator and prove exponential stability of the closed-loop system.
引用
收藏
页码：471 / 482
页数：12
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