Robust H∞ control of time-delay systems with polytopic uncertainty

Man Sun; Yingmin Jia; Junping Du; Fashan Yu

doi:10.1109/CDC.2007.4434015

Robust H_∞ control of time-delay systems with polytopic uncertainty

Man Sun^*
, Yingmin Jia
, Junping Du
, Fashan Yu

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

In this paper, an improved H_∞ performance criterion is derived for a class of time-delay systems. It partially rules out the technical restriction of using a single Lyapunov function, and therefore, is less conservative when used in robust performance analysis and synthesis problems. Based on the criterion, robust H_∞ state-feedback controller is designed. Furthermore, multichannel H_∞ dynamic output-feedback control problem is also considered. A numerical example is included to illustrate the obtained results.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6077-6081
Number of pages	5
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434015
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

Access to Document

10.1109/CDC.2007.4434015

Cite this

Sun, M., Jia, Y., Du, J., & Yu, F. (2007). Robust H_∞ control of time-delay systems with polytopic uncertainty. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 6077-6081). Article 4434015 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434015

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title = "Robust H∞ control of time-delay systems with polytopic uncertainty",

abstract = "In this paper, an improved H∞ performance criterion is derived for a class of time-delay systems. It partially rules out the technical restriction of using a single Lyapunov function, and therefore, is less conservative when used in robust performance analysis and synthesis problems. Based on the criterion, robust H∞ state-feedback controller is designed. Furthermore, multichannel H∞ dynamic output-feedback control problem is also considered. A numerical example is included to illustrate the obtained results.",

author = "Man Sun and Yingmin Jia and Junping Du and Fashan Yu",

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Sun, M, Jia, Y, Du, J & Yu, F 2007, Robust H_∞ control of time-delay systems with polytopic uncertainty. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434015, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 6077-6081, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434015

Robust H_∞ control of time-delay systems with polytopic uncertainty. / Sun, Man; Jia, Yingmin; Du, Junping et al.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 6077-6081 4434015 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In this paper, an improved H∞ performance criterion is derived for a class of time-delay systems. It partially rules out the technical restriction of using a single Lyapunov function, and therefore, is less conservative when used in robust performance analysis and synthesis problems. Based on the criterion, robust H∞ state-feedback controller is designed. Furthermore, multichannel H∞ dynamic output-feedback control problem is also considered. A numerical example is included to illustrate the obtained results.

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