Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters

Yan Ming Fu; Guang Ren Duan

doi:10.1109/ICARCV.2004.1469424

Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters

Yan Ming Fu^*
, Guang Ren Duan

^*Corresponding author for this work

School of Astronautics

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

14 Scopus citations

Abstract

This paper deals with the stochastic stabilizability and passive control for a class of linear time-delay systems with Markov jumping parameters and Brownian motions. The transition of the jumping parameters in systems is governed by a finite-state Markov process. A sufficient condition on stochastic stabilizability is established based on stability theory in stochastic differential equations. In terms of a set of coupled linear matrix inequalities, stochastic passive controllers are designed to stochastically stabilize the given systems with passive performance constraints. A numerical example demonstrates the effect of the proposed design approach.

Original language	English
Title of host publication	2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1757-1761
Number of pages	5
ISBN (Print)	0780386531, 9780780386532
DOIs	https://doi.org/10.1109/ICARCV.2004.1469424
State	Published - 2004
Event	8th International Conference on Control, Automation, Robotics and Vision, ICARCV 2004 - Kunming, China Duration: 6 Dec 2004 → 9 Dec 2004

Publication series

Name	2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)
Volume	3

Conference

Conference	8th International Conference on Control, Automation, Robotics and Vision, ICARCV 2004
Country/Territory	China
City	Kunming
Period	6/12/04 → 9/12/04

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10.1109/ICARCV.2004.1469424

Cite this

Fu, Y. M., & Duan, G. R. (2004). Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters. In 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV) (pp. 1757-1761). (2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV); Vol. 3). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICARCV.2004.1469424

Fu, Yan Ming ; Duan, Guang Ren. / Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters. 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV). Institute of Electrical and Electronics Engineers Inc., 2004. pp. 1757-1761 (2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)).

@inproceedings{2810fd58292a460bbc00ba44c95ac6b2,

title = "Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters",

abstract = "This paper deals with the stochastic stabilizability and passive control for a class of linear time-delay systems with Markov jumping parameters and Brownian motions. The transition of the jumping parameters in systems is governed by a finite-state Markov process. A sufficient condition on stochastic stabilizability is established based on stability theory in stochastic differential equations. In terms of a set of coupled linear matrix inequalities, stochastic passive controllers are designed to stochastically stabilize the given systems with passive performance constraints. A numerical example demonstrates the effect of the proposed design approach.",

author = "Fu, \{Yan Ming\} and Duan, \{Guang Ren\}",

year = "2004",

doi = "10.1109/ICARCV.2004.1469424",

language = "英语",

isbn = "0780386531",

series = "2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)",

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

pages = "1757--1761",

booktitle = "2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)",

address = "美国",

note = " 8th International Conference on Control, Automation, Robotics and Vision, ICARCV 2004 ; Conference date: 06-12-2004 Through 09-12-2004",

}

Fu, YM & Duan, GR 2004, Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters. in 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV). 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV), vol. 3, Institute of Electrical and Electronics Engineers Inc., pp. 1757-1761, 8th International Conference on Control, Automation, Robotics and Vision, ICARCV 2004, Kunming, China, 6/12/04. https://doi.org/10.1109/ICARCV.2004.1469424

Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters. / Fu, Yan Ming ; Duan, Guang Ren.
2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV). Institute of Electrical and Electronics Engineers Inc., 2004. p. 1757-1761 (2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV); Vol. 3).

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

TY - GEN

T1 - Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters

AU - Fu, Yan Ming

AU - Duan, Guang Ren

PY - 2004

Y1 - 2004

N2 - This paper deals with the stochastic stabilizability and passive control for a class of linear time-delay systems with Markov jumping parameters and Brownian motions. The transition of the jumping parameters in systems is governed by a finite-state Markov process. A sufficient condition on stochastic stabilizability is established based on stability theory in stochastic differential equations. In terms of a set of coupled linear matrix inequalities, stochastic passive controllers are designed to stochastically stabilize the given systems with passive performance constraints. A numerical example demonstrates the effect of the proposed design approach.

AB - This paper deals with the stochastic stabilizability and passive control for a class of linear time-delay systems with Markov jumping parameters and Brownian motions. The transition of the jumping parameters in systems is governed by a finite-state Markov process. A sufficient condition on stochastic stabilizability is established based on stability theory in stochastic differential equations. In terms of a set of coupled linear matrix inequalities, stochastic passive controllers are designed to stochastically stabilize the given systems with passive performance constraints. A numerical example demonstrates the effect of the proposed design approach.

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U2 - 10.1109/ICARCV.2004.1469424

DO - 10.1109/ICARCV.2004.1469424

M3 - 会议稿件

AN - SCOPUS:21244480213

SN - 0780386531

SN - 9780780386532

T3 - 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)

SP - 1757

EP - 1761

BT - 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 8th International Conference on Control, Automation, Robotics and Vision, ICARCV 2004

Y2 - 6 December 2004 through 9 December 2004

ER -

Fu YM , Duan GR. Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters. In 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV). Institute of Electrical and Electronics Engineers Inc. 2004. p. 1757-1761. (2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)). doi: 10.1109/ICARCV.2004.1469424

Stochastic stabilizability and passive control for time-delay systems with markovian jumping parameters

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