Stabilization of One-dimensional Wave Equation with Pointwise Dissipation and External Disturbance

被引：0

作者：

Zhang, Yu-Long ^{[1
]}

Wang, Jun-Min ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

2016 IEEE CONFERENCE ON CONTROL APPLICATIONS (CCA) | 2016年

关键词：

Disturbance rejection; wave equation; feedback control; active disturbance rejection control; SLIDING MODE CONTROL; BERNOULLI BEAM EQUATION; ACTIVE DISTURBANCE; REJECTION CONTROL; BOUNDARY CONTROL; SUBJECT; SYSTEMS; INPUT;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we are concerned with the stabilization of one-dimensional wave equation with pointwise dissipation and external disturbance. The active disturbance rejection control (ADRC) approach is adopted in investigation. By ADRC approach, an extended state observer (ESO) with time-varying high gain is designed to estimate the disturbance. The proposed control law cancels the disturbance by using the estimation. The closed-loop system is shown to be asymptotically stable. Finally, the simulation results are presented.

引用

页数：6

共 50 条

[21] Output tracking and disturbance rejection for a one-dimensional anti-stable wave equation
Zhou, Hua-Cheng
Weiss, George
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
[22] Boundary state feedback exponential stabilization for a one-dimensional wave equation with velocity recirculation
Jin, Feng-Fei
Guo, Wei
AUTOMATICA, 2020, 113
[23] STABILIZATION OF ONE-DIMENSIONAL WAVE EQUATION WITH VAN DER POL TYPE BOUNDARY CONDITION
Feng, Hongyinping
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (05) : 2436 - 2449
[24] Dynamic stabilization of a one-dimensional wave equation with variable coefficient under delayed observation
Yang, Kunyi
Ren, Xiang
Zhang, Jie
Li, Jingjing
PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 2257 - 2262
[25] Pointwise convergence problem of the one-dimensional Boussinesq-type equation
Wang, Weimin
Yan, Wei
Zhang, Yating
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (02) : 1750 - 1767
[26] Stabilization of the one-dimensional heat equation on a semibounded rod
Gorshkov, AV
RUSSIAN MATHEMATICAL SURVEYS, 2001, 56 (02) : 409 - 410
[27] PERIODIC-SOLUTIONS TO A ONE-DIMENSIONAL STRONGLY NONLINEAR-WAVE EQUATION WITH STRONG DISSIPATION
HERRMANN, L
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1985, 35 (02) : 278 - 294
[28] PERTURBATION THEORY FOR THE ONE-DIMENSIONAL WAVE EQUATION
PRICE, PJ
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1954, 67 (412): : 383 - 385
[29] BOUNDARY CONTROL OF ONE-DIMENSIONAL WAVE EQUATION
GRAINGER, JJ
NOVOTNY, DW
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1971, 59 (02): : 291 - &
[30] A ONE-DIMENSIONAL WAVE EQUATION FOR HYDROGEN BONDS
NORDMAN, CE
LIPSCOMB, WN
JOURNAL OF CHEMICAL PHYSICS, 1953, 21 (11): : 2077 - 2078

← 1 2 3 4 5 →