Robust H∞ control for continuous descriptor systems with state delay and parametric uncertainty

Shaosheng Zhou; Wei Xing Zheng

doi:10.1109/CDC.2007.4434120

Robust H_∞ control for continuous descriptor systems with state delay and parametric uncertainty

Shaosheng Zhou, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Hangzhou Dianzi University

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

1 Citation (Scopus)

Abstract

The problem of robust H_∞ control of delayed descriptor systems with parametric uncertainties is investigated in this paper by using a strict linear matrix inequality (LMI) design approach. It is assumed that the parametric uncertainties are of a linear fractional form, which can describe a class of rational nonlinearities. It is shown that a desired robust state feedback control law can be constructed, given the feasibility of the LMI. The constructed control law guarantees that, for all admissible uncertainties, the resulting closed-loop system is not only regular, impulse free and stable, but also meets an H_∞ -norm bound constraint on disturbance attenuation. The effectiveness of the developed approach is illustrated via a numerical example.

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	2719-2724
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434120
Publication status	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.2007.4434120

Cite this

Zhou, S., & Zheng, W. X. (2007). Robust H_∞ control for continuous descriptor systems with state delay and parametric uncertainty. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 2719-2724). Article 4434120 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434120

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title = "Robust H∞ control for continuous descriptor systems with state delay and parametric uncertainty",

abstract = "The problem of robust H∞ control of delayed descriptor systems with parametric uncertainties is investigated in this paper by using a strict linear matrix inequality (LMI) design approach. It is assumed that the parametric uncertainties are of a linear fractional form, which can describe a class of rational nonlinearities. It is shown that a desired robust state feedback control law can be constructed, given the feasibility of the LMI. The constructed control law guarantees that, for all admissible uncertainties, the resulting closed-loop system is not only regular, impulse free and stable, but also meets an H∞ -norm bound constraint on disturbance attenuation. The effectiveness of the developed approach is illustrated via a numerical example.",

author = "Shaosheng Zhou and Zheng, {Wei Xing}",

year = "2007",

doi = "10.1109/CDC.2007.4434120",

language = "English",

isbn = "1424414989",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

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Zhou, S & Zheng, WX 2007, Robust H_∞ control for continuous descriptor systems with state delay and parametric uncertainty. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434120, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2719-2724, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434120

Robust H_∞ control for continuous descriptor systems with state delay and parametric uncertainty. / Zhou, Shaosheng; Zheng, Wei Xing.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 2719-2724 4434120 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

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AB - The problem of robust H∞ control of delayed descriptor systems with parametric uncertainties is investigated in this paper by using a strict linear matrix inequality (LMI) design approach. It is assumed that the parametric uncertainties are of a linear fractional form, which can describe a class of rational nonlinearities. It is shown that a desired robust state feedback control law can be constructed, given the feasibility of the LMI. The constructed control law guarantees that, for all admissible uncertainties, the resulting closed-loop system is not only regular, impulse free and stable, but also meets an H∞ -norm bound constraint on disturbance attenuation. The effectiveness of the developed approach is illustrated via a numerical example.

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Zhou S, Zheng WX. Robust H_∞ control for continuous descriptor systems with state delay and parametric uncertainty. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc. 2007. p. 2719-2724. 4434120. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2007.4434120