@inproceedings{a2ded504d714458e8d06b16460bbdf0e,
title = "Active Disturbance Rejection Control for the Stabilization of a One-Dimensional Wave Equation",
abstract = "This paper deals with the stabilization of a wave equation with external disturbance in the boundary inputs. Our feedback design relies on the strategy called active disturbance rejection control (ADRC for short). We design an extended state observer to estimate the unknown disturbance, and the disturbance is cancelled out in the feedback loop. Finally, we prove the existence of solutions of the closed-loop system and the global asymptotic stability of the closed-loop system. A numerical example is given to illustrate the efficiency of our strategy.",
keywords = "Active disturbance rejection control, Robust control, Stabilization of PDEs, Wave equation",
author = "Jun Chen and Wang, \{Jun Min\}",
note = "Publisher Copyright: {\textcopyright} 2025 Technical Committee on Control Theory, Chinese Association of Automation.; 44th Chinese Control Conference, CCC 2025 ; Conference date: 28-07-2025 Through 30-07-2025",
year = "2025",
doi = "10.23919/CCC64809.2025.11178749",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "1090--1094",
editor = "Jian Sun and Hongpeng Yin",
booktitle = "Proceedings of the 44th Chinese Control Conference, CCC 2025",
address = "United States",
}