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

被引：0
作者：
Jun-Jun Liu
Jun-Min Wang
机构：
[1] Beijing Institute of Technology,School of Mathematics
来源：
Journal of Dynamical and Control Systems | 2013年 / 19卷
关键词：
Stability; Observer; Boundary control; Output feedback; Backstepping method; 35J10; 93C20; 93C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a problem of stabilization of a one-dimensional anti-stable linearized Schrödinger 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.
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页码：471 / 482
页数：11
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