@inproceedings{ec39c816a9a6455f8c4709c18fec8fd7,
title = "Lyapunov approach to boundary stabilization of an anti-stable heat equation with boundary disturbance",
abstract = "In this paper, we are considered with the boundary output feedback stabilization of a one-dimensional anti-stable heat equation subject to general control matched disturbance. The active disturbance rejection control (ADRC) approach is proposed in investigation. Using output of the system, we first design a variable structure state observer to the original system which is proved to be exponentially convergent. Next, the estimation of the disturbance is obtained by extended state observer for an ODEs obtained from the observer. Finally, the estimation of disturbance is used to cancel the disturbance in the output feedback controller. The stability of the resulting closed-loop system is proven.",
keywords = "Heat equation, disturbance rejection, observer, output feedback",
author = "Wen Kang and Guo, {Bao Zhu}",
note = "Publisher Copyright: {\textcopyright} 2014 TCCT, CAA.; Proceedings of the 33rd Chinese Control Conference, CCC 2014 ; Conference date: 28-07-2014 Through 30-07-2014",
year = "2014",
month = sep,
day = "11",
doi = "10.1109/ChiCC.2014.6897056",
language = "English",
series = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",
publisher = "IEEE Computer Society",
pages = "2658--2664",
editor = "Shengyuan Xu and Qianchuan Zhao",
booktitle = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",
address = "United States",
}