Stabilization of One-Dimensional Wave Equation With Nonlinear Boundary Condition Subject to Boundary Control Matched Disturbance

Jun-Jun Liu; Jun-Min Wang

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Stabilization of One-Dimensional Wave Equation With Nonlinear Boundary Condition Subject to Boundary Control Matched Disturbance

机译：具有边界控制匹配扰动的非线性边界条件的一维波动方程的镇定

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摘要

In this paper, we consider the stabilization of a one-dimensional wave equation with nonlinear van der Pol type boundary condition that covers the antistable boundary, and subject to boundary control matched disturbance on the other side. Due to the nonli

机译：在本文中，我们考虑具有非线性范德波尔型边界条件的一维波动方程的镇定，该条件覆盖了反稳定边界，并且在另一侧受到边界控制匹配干扰。由于诺丽

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来源
《IEEE Transactions on Automatic Control》 |2019年第7期|3068-3073|共6页
作者
Jun-Jun Liu; Jun-Min Wang;
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作者单位

College of Mathematics Taiyuan University of Technology Taiyuan China;

School of Mathematics and Statistics Beijing Institute of Technology Beijing China;

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正文语种 eng
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关键词
Boundary conditions; Propagation; Sliding mode control; Bifurcation; Closed loop systems; Numerical simulation; Mathematical model;

机译：边界条件;传播;滑模控制;分叉;闭环系统;数值模拟数学模型;

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1. Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional Schr?dinger equation subject to boundary control matched disturbance [J] . Bao-Zhu Guo, Jun-Jun Liu International Journal of Robust and Nonlinear Control . 2014,第16期

机译：滑模控制和主动扰动抑制控制对一维薛定equation方程受边界控制匹配扰动的镇定
2. Sliding Mode and Active Disturbance Rejection Control to Stabilization of One-Dimensional Anti-Stable Wave Equations Subject to Disturbance in Boundary Input [J] . Guo B.-Z., Jin F.-F. Automatic Control, IEEE Transactions on . 2013,第5期

机译：滑模和主动扰动抑制控制用于稳定一维反稳定波动方程的边界输入
3. OUTPUT FEEDBACK EXPONENTIAL STABILIZATION FOR ONE-DIMENSIONAL UNSTABLE WAVE EQUATIONS WITH BOUNDARY CONTROL MATCHED DISTURBANCE [J] . Zhou Hua-Cheng, Weiss George SIAM Journal on Control and Optimization . 2018,第6期

机译：具有边界控制匹配干扰的一维不稳定波方程输出反馈指数稳定
4. Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input [C] . Guo Bao-Zhu IEEE Conference on Decision and Control;CDC . 2012

机译：滑模模式和主动扰动抑制控制可稳定一维反稳定波动方程的边界输入
5. Some results on the one-dimensional linear wave equation with van der Pol type nonlinear boundary conditions and the Korteweg-de Vries-Burgers equation. [D] . Feng, Zhaosheng. 2004

机译：关于具有范德波尔型非线性边界条件的一维线性波动方程和Korteweg-de Vries-Burgers方程的一些结果。
6. Modified Taylor series method for solving nonlinear differential equations with mixed boundary conditions defined on finite intervals [O] . Hector Vazquez-Leal, Brahim Benhammouda, Uriel Antonio Filobello-Nino, -1

机译：修正泰勒级数法求解有限边界上混合边界条件的非线性微分方程
7. Sliding Mode Control and Active Disturbance Rejection Control to the Stabilization of One-Dimensional Schrödinger Equation subject to Boundary Control Matched Disturbance∗ [O] . Bao-zhu Guoa, Jun-jun Liuc 2013

机译：滑模控制和自抗扰控制对受边界控制匹配扰动影响的一维薛定谔方程的稳定性*

Stabilization of One-Dimensional Wave Equation With Nonlinear Boundary Condition Subject to Boundary Control Matched Disturbance

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