Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control

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Title: Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control
Authors: Lhachemi, HugoShorten, RobertPrieur, Christophe
Permanent link: http://hdl.handle.net/10197/11967
Date: Apr-2020
Online since: 2021-02-23T16:50:43Z
Abstract: This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary control. The considered input delays are uncertain and time-varying. The proposed control strategy consists of a constant-delay predictor feedback controller designed on a truncated finite-dimensional model capturing the unstable modes of the original infinite-dimensional system. We show that the resulting closed-loop system is exponentially input-to-state stable with fading memory of both additive boundary input perturbations and disturbances in the computation of the predictor feedback.
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: Systems & Control Letters
Volume: 138
Copyright (published version): 2020 Elsevier
Keywords: Infinite-dimentional systemsRiesz-spectral operatorDelay boundary controlInput-to-state stabilityFading memory
DOI: 10.1016/j.sysconle.2020.104651
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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