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干扰与控制非同位一维薛定谔方程的输出跟踪

张小英 冯红银萍

控制理论与应用2021,Vol.38Issue(3):373-379,7.
控制理论与应用2021,Vol.38Issue(3):373-379,7.DOI:10.7641/CTA.2020.20095

干扰与控制非同位一维薛定谔方程的输出跟踪

Output tracking for one-dimensional Schr(o)dinger equation with boundary control unmatched disturbance

张小英 1冯红银萍2

作者信息

  • 1. 山西农业大学基础部,太谷山西030801
  • 2. 山西大学数学科学学院,太原山西030006
  • 折叠

摘要

Abstract

This paper considers the output tracking for one-dimensional Schr(o)dinger equation with disturbance via non-collocated boundary control. Firstly, we design an infinite-dimensional disturbance estimator to estimate the disturbance by virtue of the output and infinite structure of the system. Secondly, the adaptive servomechanism is designed to achieve the performance output tracking and the tracking error(u)(1, t)∈L2(0,∞) and all the internal-loops are bounded. Finally, we present some numerical simulations to illustrate the effectiveness of the proposed scheme.

关键词

边界控制/干扰/输出跟踪/薛定谔方程

Key words

boundary control/disturbance/output tracking/Schr(o)dinger equation

引用本文复制引用

张小英,冯红银萍..干扰与控制非同位一维薛定谔方程的输出跟踪[J].控制理论与应用,2021,38(3):373-379,7.

基金项目

Supported by the National Natural Science Foundation of China(61873153),the Youth Science and Technology Research of Shanxi Province(201801D221013)and the Science and Technology Innovation Fund Project of Shanxi Agricultural University(2017ZZ06). (61873153)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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