文章基本信息

标题：Solving the regulator problem for a 1-D Schrödinger equation via backstepping * * This work was partially supported by grant no. 800/14 of the Israel Science Foundation.
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作者：Hua-Cheng Zhou ; George Weiss
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：4516-4521
DOI：10.1016/j.ifacol.2017.08.720
语种：English
出版社：Elsevier
摘要：AbstractWe solve the output regulator problem for a system described by a Neumann boundary controlled anti-stable one-dimensional Schrödinger equation by the backstepping approach. The output to be controlled is not required to be measured and its observation operator is assumed to be admissible for a certainCo-semigroup that is related to the original system, while the measurements used for control are located at the boundary First we show that the open-loop system is well-posed. Then we find a state feedback control law to solve the output regulator problem by the backstepping method. We design a finite-dimensional reference observer and an infinite-dimensional disturbance observer. Based on this observer, we propose an output feedback controller to achieve output regulation.
关键词：Keywordsregulation problemSchrödinger equationbackstepping approach