Boundary feedback stabilization of a reaction–diffusion equation with Robin boundary conditions and state-delay

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Title: Boundary feedback stabilization of a reaction–diffusion equation with Robin boundary conditions and state-delay
Authors: Lhachemi, HugoShorten, Robert
Permanent link: http://hdl.handle.net/10197/12011
Date: Jun-2020
Online since: 2021-03-08T12:12:07Z
Abstract: This paper discusses the boundary feedback stabilization of a reaction–diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a finite-dimensional truncated model obtained via a spectral decomposition. By an adequate selection of the number of modes of the original infinite-dimensional system, we show that the design performed on the finite-dimensional truncated model achieves the exponential stabilization of the original infinite-dimensional system. In the presence of distributed disturbances, we show that the closed-loop system is exponentially input-to-state stable with fading memory.
Funding Details: European Commission - European Regional Development Fund
Science Foundation Ireland
Funding Details: I-Form industry partners
Type of material: Journal Article
Publisher: Elsevier
Journal: Automatica
Volume: 116
Copyright (published version): 2020 Elsevier
Keywords: Distributed parameter systemsBoundary controlState-delayReaction-diffusion equationInput-to-state stability
DOI: 10.1016/j.automatica.2020.108931
Language: en
Status of Item: Peer reviewed
This item is made available under a Creative Commons License: https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Appears in Collections:Electrical and Electronic Engineering Research Collection
I-Form Research Collection

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