Control Law Realification for the Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control

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Title: Control Law Realification for the Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control
Authors: Lhachemi, HugoShorten, RobertPrieur, Christophe
Permanent link: http://hdl.handle.net/10197/12743
Date: Oct-2019
Online since: 2022-01-18T16:47:13Z
Abstract: Recently, a predictor feedback control strategy has been reported for the feedback stabilization of a class of infinite-dimensional Riesz-spectral boundary control systems exhibiting a finite number of unstable modes by means of a delay boundary control. Nevertheless, for real abstract boundary control systems exhibiting eigenstructures defined over the complex field, the direct application of such a control strategy requires the embedding of the control problem into a complexified state-space which yields a complex-valued control law. This letter discusses the realification of the control law, i.e., the modification of the design procedure for obtaining a real-valued control law for the original real abstract boundary control system. The obtained results are applied to the feedback stabilization of an unstable Euler-Bernoulli beam by means of a delay boundary control.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: IEEE
Journal: IEEE Control Systems Letters
Volume: 3
Issue: 4
Start page: 930
End page: 935
Copyright (published version): 2019 IEEE
Keywords: Distributed parameter systemsEuler-Bernoulli beamBoundary feedback stabilizationPredictor feedback
DOI: 10.1109/LCSYS.2019.2919309
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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