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

Qianghui Zhou; Lu Liu; Gang Feng

doi:10.1002/rnc.7342

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

Qianghui Zhou, Lu Liu, Gang Feng^*

^*Corresponding author for this work

Department of Biomedical Engineering

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

3 Citations (Scopus)

18 Downloads (CityUHK Scholars)

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.

Original language	English
Pages (from-to)	7197-7219
Journal	International Journal of Robust and Nonlinear Control
Volume	34
Issue number	11
Online published	26 Mar 2024
DOIs	https://doi.org/10.1002/rnc.7342
Publication status	Published - 25 Jul 2024

Funding

This research was supported by the Research Grants Council of Hong Kong under Grant CityU-11201120.

Research Keywords

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

Publisher's Copyright Statement

COPYRIGHT TERMS OF DEPOSITED POSTPRINT FILE: This is the peer reviewed 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.

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title = "Output feedback H∞ control of linear systems with infinite distributed input delays",

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. {\textcopyright} 2024 John Wiley & Sons Ltd.",

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AU - Zhou, Qianghui

AU - Liu, Lu

AU - Feng, Gang

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N2 - 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.

AB - 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.

KW - infinite delays

KW - linear matrix inequalities

KW - output feedback H∞ control

KW - predictor feedback approach

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DO - 10.1002/rnc.7342

M3 - RGC 21 - Publication in refereed journal

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JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

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ER -

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

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GRF: Cooperative Control of Networked Multiple Dynamical Systems with Unbounded Transmission Delays and Its Application

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

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Research Keywords

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GRF: Cooperative Control of Networked Multiple Dynamical Systems with Unbounded Transmission Delays and Its Application

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