含谐波破坏边界观测的一维波动方程参数估计与速度信号提取

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2023-05-29 DOI:10.1093/imamci/dnad018

Shuang-yun Huang, Feng-Fei Jin

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引用次数: 0

摘要

本文研究了不稳定波动方程边界速度信号的参数估计和速度信号提取问题。首先，基于边界位移和破坏边界速度设计自适应观测器;然后采用无穷维系统的反推法设计反馈律。最后，当时间趋于无穷时，估计参数收敛于未知参数，得到初值扰动，速度信号可渐近恢复。同时，利用$C_{0}$-半群理论和Lyapunov方法证明了闭环系统的渐近稳定性。数值仿真结果表明该方案是合理的。

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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Parameter estimation and velocity signal extraction for one-dimensional wave equation with harmonic corrupted boundary observation

In this paper, we consider parameter estimation and velocity signal extraction from a disturbed boundary velocity signal for an unstable wave equation. Firstly, an adaptive observer is designed based on the boundary displacement and the corrupted boundary velocity. Then the design of the feedback law adopts the backstepping method of infinite dimensional system. Finally, as time approaches infinity, the estimated parameters converge to the unknown parameters, the initial value disturbance can be obtained, and the velocity signal can be asymptotically recovered. Meanwhile, the asymptotic stability of the closed-loop system can be proved by $C_{0}$-semigroup theory and Lyapunov method. Numerical simulation shows that the proposed scheme is reasonable.

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal is to provide an outlet for papers which are original and of high quality in mathematical control theory, systems theory, and applied information sciences. Short papers and mathematical correspondence or technical notes will be welcome, although the primary function of the journal is to publish papers of substantial length and coverage. The emphasis will be upon relevance, originality and clarify of presentation, although timeliness may well be an important feature in acceptable papers. Speculative papers that suggest new avenues for research or potential solutions to unsolved problems of control and information theory will be particularly welcome. Specific application papers will not normally be within the remit of the journal. Applications that illustrate techniques or theories will be acceptable. A prime function of the journal is to encourage the interplay between control and information theory and other mathematical sciences. All submitted papers will be judged on their merits by at least two referees and a full paper report will be available to the intending authors. Submitted articles will in general be published in an issue within six months of submission. Papers should not have previously published, nor should they be undes consideration for publication in another journal. This Journal takes publication ethics very seriously. If misconduct is found or suspected after the manuscript is published, the journal will investigate the matter and this may result in the article subsequently being retracted.