Dynamic control for one-dimensional wave equation with nonlinear boundary

Xiao Hui Wu; Jun Min Wang; Fei Wang

doi:10.1016/j.jmaa.2026.131047

Dynamic control for one-dimensional wave equation with nonlinear boundary

Xiao Hui Wu
, Jun Min Wang^*
, Fei Wang

^*此作品的通讯作者

The School of Statistics and Mathematics
Shanxi University
Beijing Institute of Technology
School of Basic Education
Beijing Institute of Graphic Communication

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, we investigate the output feedback stabilization of wave equation with Van Der Pol type boundary condition and disturbance. By expanding interactive integral control, we propose a novel method to compensate for disturbance by using non-collocated boundary measurements. Based on this method, we design two types of dynamic feedback control laws to stabilize the system. Afterwards, the numerical experiments are carried out to illustrate the proposed approach.

源语言	英语
期刊论文编号	131047
期刊	Journal of Mathematical Analysis and Applications
卷	566
期	1
DOI	https://doi.org/10.1016/j.jmaa.2026.131047
出版状态	已出版 - 1 2月 2027
已对外发布	是

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title = "Dynamic control for one-dimensional wave equation with nonlinear boundary",

abstract = "In this paper, we investigate the output feedback stabilization of wave equation with Van Der Pol type boundary condition and disturbance. By expanding interactive integral control, we propose a novel method to compensate for disturbance by using non-collocated boundary measurements. Based on this method, we design two types of dynamic feedback control laws to stabilize the system. Afterwards, the numerical experiments are carried out to illustrate the proposed approach.",

keywords = "Disturbance rejection, Non-collocated measurements, Nonlinear boundary, Stabilization, Wave equation",

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N2 - In this paper, we investigate the output feedback stabilization of wave equation with Van Der Pol type boundary condition and disturbance. By expanding interactive integral control, we propose a novel method to compensate for disturbance by using non-collocated boundary measurements. Based on this method, we design two types of dynamic feedback control laws to stabilize the system. Afterwards, the numerical experiments are carried out to illustrate the proposed approach.

AB - In this paper, we investigate the output feedback stabilization of wave equation with Van Der Pol type boundary condition and disturbance. By expanding interactive integral control, we propose a novel method to compensate for disturbance by using non-collocated boundary measurements. Based on this method, we design two types of dynamic feedback control laws to stabilize the system. Afterwards, the numerical experiments are carried out to illustrate the proposed approach.

KW - Disturbance rejection

KW - Non-collocated measurements

KW - Nonlinear boundary

KW - Stabilization

KW - Wave equation

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Dynamic control for one-dimensional wave equation with nonlinear boundary

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