H∞ dynamic output feedback control of switched stochastic systems

Ligang Wu; Daniel W.C. Ho; C. W. Li

doi:10.1109/CDC.2009.5400305

H_∞ dynamic output feedback control of switched stochastic systems

Ligang Wu^*
, Daniel W.C. Ho
, C. W. Li

^*Corresponding author for this work

School of Astronautics

City University of Hong Kong

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

7 Scopus citations

Abstract

This paper is concerned with the H_∞ dynamic output feedback (DOF) control problem for continuous-time switched stochastic systems. By applying the average dwell time method and the piecewise Lyapunov function technique, a sufficient condition is first proposed, which guarantees the closed-loop switched stochastic system to be mean-square exponentially stable with a weighted H_∞ performance. The. H_∞ DOF controller can be found by solving a set of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed theories.

Original language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	500-505
Number of pages	6
ISBN (Print)	9781424438716
DOIs	https://doi.org/10.1109/CDC.2009.5400305
State	Published - 2009
Event	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China Duration: 15 Dec 2009 → 18 Dec 2009

Publication series

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

Conference

Conference	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country/Territory	China
City	Shanghai
Period	15/12/09 → 18/12/09

Access to Document

10.1109/CDC.2009.5400305

Cite this

Wu, L., Ho, D. W. C., & Li, C. W. (2009). H_∞ dynamic output feedback control of switched stochastic systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 500-505). Article 5400305 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2009.5400305

Wu, Ligang ; Ho, Daniel W.C. ; Li, C. W. / H_∞ dynamic output feedback control of switched stochastic systems. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. pp. 500-505 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{96fb602333ee4eb596c3cff242d464af,

title = "H∞ dynamic output feedback control of switched stochastic systems",

abstract = "This paper is concerned with the H∞ dynamic output feedback (DOF) control problem for continuous-time switched stochastic systems. By applying the average dwell time method and the piecewise Lyapunov function technique, a sufficient condition is first proposed, which guarantees the closed-loop switched stochastic system to be mean-square exponentially stable with a weighted H∞ performance. The. H∞ DOF controller can be found by solving a set of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed theories.",

author = "Ligang Wu and Ho, \{Daniel W.C.\} and Li, \{C. W.\}",

year = "2009",

doi = "10.1109/CDC.2009.5400305",

language = "英语",

isbn = "9781424438716",

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

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

pages = "500--505",

booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",

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note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",

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Wu, L, Ho, DWC & Li, CW 2009, H_∞ dynamic output feedback control of switched stochastic systems. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400305, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 500-505, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 15/12/09. https://doi.org/10.1109/CDC.2009.5400305

H_∞ dynamic output feedback control of switched stochastic systems. / Wu, Ligang; Ho, Daniel W.C.; Li, C. W.
Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. p. 500-505 5400305 (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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AU - Ho, Daniel W.C.

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N2 - This paper is concerned with the H∞ dynamic output feedback (DOF) control problem for continuous-time switched stochastic systems. By applying the average dwell time method and the piecewise Lyapunov function technique, a sufficient condition is first proposed, which guarantees the closed-loop switched stochastic system to be mean-square exponentially stable with a weighted H∞ performance. The. H∞ DOF controller can be found by solving a set of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed theories.

AB - This paper is concerned with the H∞ dynamic output feedback (DOF) control problem for continuous-time switched stochastic systems. By applying the average dwell time method and the piecewise Lyapunov function technique, a sufficient condition is first proposed, which guarantees the closed-loop switched stochastic system to be mean-square exponentially stable with a weighted H∞ performance. The. H∞ DOF controller can be found by solving a set of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed theories.

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DO - 10.1109/CDC.2009.5400305

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

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Wu L, Ho DWC, Li CW. H_∞ dynamic output feedback control of switched stochastic systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc. 2009. p. 500-505. 5400305. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2009.5400305