未知外系Schrödinger方程的非配位自适应输出调节

IF 2.5 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-10-14 DOI:10.1016/j.sysconle.2025.106265

Xiu-Fang Yu , Jun-Min Wang , Jun-Jun Liu

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引用次数: 0

摘要

本文考虑一维Schrödinger方程的输出调节问题，该方程的输出和控制输入位于相反的边界，干扰来自未知的有限维系外系统。我们应用自适应观测器来估计系外系统所有可能的未知频率。下面的工作旨在设计一个误差反馈控制，以实现输出调节和干扰抑制基于自适应内模型。证明了闭环系统是适定的和有界的。仿真结果表明，所提出的控制器是有效的，跟踪误差收敛到零。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Noncollocated adaptive output regulation of a Schrödinger equation with unknown exosystem

In this paper, we consider the output regulation problem of a 1-d Schrödinger equation, where the output and control input are located at opposite boundaries and the disturbances are generated from an unknown finite-dimensional exosystem. We apply an adaptive observer to estimate all possible unknown frequencies of the exosystem. The following work is aiming at designing an error feedback control to achieve the output regulation and disturbances rejection based on the adaptive internal model. The closed-loop system is proved to be well-posed and bounded. The numerical simulations are carried out to demonstrate that the proposed controller is effective and the tracking error converges to zero.

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.