@inproceedings{f15b040de70545f0b7bb53689397c5c8,
title = "Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance",
abstract = "In this paper, we are concerned with the boundary feedback stabilization of a cascade system of ODE-PDE with the external disturbance flowing the control end, where the PDE is described by a heat equation with Dirichlet interconnection. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the 'reaching condition' is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system.",
keywords = "Backstepping, Boundary control, Cascade systems, Disturbance rejection, Sliding mode control",
author = "Wang, {Jun Min} and Wang, {Li Li} and Liu, {Jun Jun} and Beibei Ren",
note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 ; Conference date: 29-06-2014 Through 04-07-2014",
year = "2015",
month = mar,
day = "2",
doi = "10.1109/WCICA.2014.7052828",
language = "English",
series = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "March",
pages = "856--860",
booktitle = "Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014",
address = "United States",
edition = "March",
}