An LMI condition for the robustness of constant-delay linear predictor feedback with respect to uncertain time-varying input delays

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Title: An LMI condition for the robustness of constant-delay linear predictor feedback with respect to uncertain time-varying input delays
Authors: Lhachemi, HugoPrieur, ChristopheShorten, Robert
Permanent link: http://hdl.handle.net/10197/11962
Date: Nov-2019
Online since: 2021-02-23T11:27:20Z
Abstract: This paper discusses the robustness of the constant-delay predictor feedback in the case of an uncertain time-varying input delay. Specifically, we study the stability of the closed-loop system when the predictor feedback is designed based on the knowledge of the nominal value of the time-varying delay. By resorting to an adequate Lyapunov–Krasovskii functional, we derive an LMI-based sufficient condition ensuring the exponential stability of the closed-loop system for small enough variations of the time-varying delay around its nominal value. These results are extended to the feedback stabilization of a class of diagonal infinite-dimensional boundary control systems in the presence of a time-varying delay in the boundary control input.
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: Automatic
Volume: 109
Copyright (published version): 2019 Elsevier
Keywords: Time-varying delay controlPredictor feedbackRobust stabilityPDEsBoundary control
DOI: 10.1016/j.automatica.2019.108551
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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