Observer-based L2-L∞ control for a class of stochastic systems with time-varying delay

Lin Li; Yingmin Jia; Junping Du; Fashan Yu

doi:10.1109/CDC.2010.5717663

Observer-based L₂-L_∞ control for a class of stochastic systems with time-varying delay

Lin Li^*
, 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

2 Scopus citations

Abstract

This paper is devoted to the problem of L₂-L_∞ control for a class of stochastic time-delay systems via observer-based feedback control. The considered observer contains no time-delay. The purpose is to design an observer-based feedback stabilizing controller such that the augmented closed-loop system is stochastically asymptotically stable with a prescribed L₂-L_∞ performance satisfied. Based on the stochastic stability theory, a delay-dependent sufficient condition is derived in terms of linear matrix inequalities (LMIs). The observer and controller design method is proposed, while the corresponding explicit expression for the observer and controller gain matrices is also given. Finally, numerical examples and simulation results are included to illustrate the effectiveness of the proposed results.

Original language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1023-1028
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717663
State	Published - 2010
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: 15 Dec 2010 → 17 Dec 2010

Publication series

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

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	15/12/10 → 17/12/10

Access to Document

10.1109/CDC.2010.5717663

Cite this

Li, L., Jia, Y., Du, J., & Yu, F. (2010). Observer-based L₂-L_∞ control for a class of stochastic systems with time-varying delay. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 1023-1028). Article 5717663 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717663

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title = "Observer-based L2-L∞ control for a class of stochastic systems with time-varying delay",

abstract = "This paper is devoted to the problem of L2-L∞ control for a class of stochastic time-delay systems via observer-based feedback control. The considered observer contains no time-delay. The purpose is to design an observer-based feedback stabilizing controller such that the augmented closed-loop system is stochastically asymptotically stable with a prescribed L2-L∞ performance satisfied. Based on the stochastic stability theory, a delay-dependent sufficient condition is derived in terms of linear matrix inequalities (LMIs). The observer and controller design method is proposed, while the corresponding explicit expression for the observer and controller gain matrices is also given. Finally, numerical examples and simulation results are included to illustrate the effectiveness of the proposed results.",

author = "Lin Li and Yingmin Jia and Junping Du and Fashan Yu",

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doi = "10.1109/CDC.2010.5717663",

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Li, L, Jia, Y, Du, J & Yu, F 2010, Observer-based L₂-L_∞ control for a class of stochastic systems with time-varying delay. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717663, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1023-1028, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 15/12/10. https://doi.org/10.1109/CDC.2010.5717663

Observer-based L₂-L_∞ control for a class of stochastic systems with time-varying delay. / Li, Lin; Jia, Yingmin; Du, Junping et al.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 1023-1028 5717663 (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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