Output feedback H∞ control of linear systems with infinite distributed input delays

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Original languageEnglish
Pages (from-to)7197-7219
Journal / PublicationInternational Journal of Robust and Nonlinear Control
Volume34
Issue number11
Online published26 Mar 2024
Publication statusPublished - 25 Jul 2024

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Publisher's Copyright Statement
  • COPYRIGHT TERMS OF DEPOSITED POSTPRINT FILE: This is the accepted version of the following article: Zhou, Q., Liu, L., & Feng, G. (2024). Output feedback H∞ control of linear systems with infinite distributed input delays. International Journal of Robust and Nonlinear Control, 34(11), 7197–7219, which has been published in final form at https://doi.org/10.1002/rnc.7342. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85189551718&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(4a70011d-f8b5-4965-ad8a-e99693671b5e).html

Abstract

This article investigates the output feedback H∞ control problem of linear systems with infinite distributed input delays. An observer-based output feedback (OBOF) H∞ controller is proposed via the predictor feedback approach, and a sufficient condition for the existence of the OBOF H∞ controller is given in terms of a set of linear matrix inequalities. It is shown that the resulting closed-loop system is globally exponentially stable with a prescribed H∞ performance. The obtained results include some results on the same problem for linear systems with bounded distributed input delays as special cases. Two numerical examples are finally presented to illustrate the effectiveness of the proposed H∞ controller. © 2024 John Wiley & Sons Ltd.

Research Area(s)

  • infinite delays, linear matrix inequalities, output feedback H∞ control, predictor feedback approach

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100
Linear Systems Chemical Engineering
100
Output Feedback Engineering
33
Closed Loop Systems Chemical Engineering
33
Numerical Example Engineering
33
John Wiley Engineering
33
Illustrates Engineering
33
Sufficient Conditio... Engineering
33
H-Performance Engineering
33
Feedback Control Engineering
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[ RIS ] [ BibTeX ]
Output feedback H∞ control of linear systems with infinite distributed input delays. / Zhou, Qianghui; Liu, Lu; Feng, Gang.
In: International Journal of Robust and Nonlinear Control, Vol. 34, No. 11, 25.07.2024, p. 7197-7219.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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