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IFAC-PapersOnLineVolume 56, Issue 2, 1 July 2023, Pages 11389-1139422nd IFAC World Congress; Yokohama; Japan; 9 July 2023 through 14 July 2023; Code 195861

Guaranteed phase margin performance in closed-loop control of linear irrational systems(Conference Paper)(Open Access)

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  • aUniv. Bordeaux, CNRS, Bordeaux INP, IMS, UMR 5218, Talence, F-33400, France
  • bUniversity of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovica 6, Serbia

Abstract

Recently stability of linear irrational systems has been formulated as a constraint satisfaction problem in (Malti, Rapaic & Turkulov, 2023) and a guaranteed solution has been obtained using algorithms from interval arithmetics. This paper extends the aforementioned result to compute controller parameters of irrational systems with prescribed phase margins (based on interval arithmetics) which is the main contribution of the paper. It is applied to control temperature of a one-dimensional heat diffusion equation at a given distance subject to a heating thermal flux applied to its boundary. Copyright © 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

Author keywords

Distributed systemGuaranteed algorithmPhase margin

Indexed keywords

Engineering controlled terms:Closed loop control systems
Engineering uncontrolled termsClosed-loop controlConstraint-satisfaction problemsControl temperaturesController parameterDistributed systemsGuaranteed algorithmInterval arithmeticOne-dimensional heatPerformancePhase margins
Engineering main heading:Constraint satisfaction problems
  • ISSN: 24058963
  • ISBN: 978-171387234-4
  • Source Type: Conference Proceeding
  • Original language: English
  • DOI: 10.1016/j.ifacol.2023.10.424
  • Document Type: Conference Paper
  • Volume Editors: Ishii H.,Ebihara Y.,Imura J.,Yamakita M.
  • Sponsors: Azbil Corporation,et al.,Fujita Corporation,Hitachi, Ltd.,Kumagai Gumi Co., Ltd.,The Society of Instrument and Control Engineers (SICE)
  • Publisher: Elsevier B.V.

  Malti, R.; Univ. Bordeaux, CNRS, Bordeaux INP, IMS, UMR 5218, Talence, France
© Copyright 2024 Elsevier B.V., All rights reserved.

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