@inproceedings{c1a5e1581b8c4985894d8589bde592ff,
title = "The regulation problem for the one-dimensional Schr{\"o}dinger equation via the backstepping approach",
abstract = "In this paper we are concerned with the output regulation problem for a system (plant) described by a boundary controlled anti-stable one-dimensional Schr{\"o}dinger equation by the backstepping approach. The output to be controlled is not required to be measurable and its output operator is assumed to be admissible for a certain C0-semigroup that is related to the original system whereas the measurement is located at the boundary. First we show that the open-loop system is well-posed. We construct a state feedback control law to solve the output regulation problem, using the backstepping method. We design a finite-dimensional reference observer and an infinite-dimensional disturbance observer. Based on these observers, we design an output feedback controller that achieves output regulation.",
author = "Zhou, {Hua Cheng} and George Weiss",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016 ; Conference date: 16-11-2016 Through 18-11-2016",
year = "2017",
month = jan,
day = "4",
doi = "https://doi.org/10.1109/ICSEE.2016.7806144",
language = "الإنجليزيّة",
series = "2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016",
address = "الولايات المتّحدة",
}