Reliable stabilization and H∞ control for switched systems with faulty actuators: An average dwell time approach

Li Li Li; Jiaxin Feng; Georgi M. Dimirovski; Jun Zhao

doi:10.1109/ACC.2009.5160083

Reliable stabilization and H_∞ control for switched systems with faulty actuators: An average dwell time approach

Li Li Li^*, Jiaxin Feng, Georgi M. Dimirovski, Jun Zhao

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

This paper deals with the issues of observer-based reliable stabilization and H_∞ control for a class of continuous-time switched Lipschitz nonlinear systems in the sense that actuators suffer a "destabilizing failure". When the never-faulty actuators cannot stabilize the corresponding system, the closed-loop switched systems can still be exponentially stable based on the average dwell time scheme. Under the condition requiring that activation time ratio between stabilizable subsystems and unstabilizable ones is not less than a specified constant, sufficient condition is derived for the switched systems to be exponentially stabilizable for all admissible actuator failures via switching and associated observer-based feedback controllers. The result is also extended to solve the observer-based reliable H_∞ control problem.

Original language	English
Title of host publication	2009 American Control Conference, ACC 2009
Pages	1072-1077
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2009.5160083
Publication status	Published - 2009
Event	2009 American Control Conference, ACC 2009 - St. Louis, MO, United States Duration: 10 Jun 2009 → 12 Jun 2009

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2009 American Control Conference, ACC 2009
Country/Territory	United States
City	St. Louis, MO
Period	10/06/09 → 12/06/09

Access to Document

10.1109/ACC.2009.5160083

Cite this

@inproceedings{a388f9c550cb481a91175c06454f4b3e,

title = "Reliable stabilization and H∞ control for switched systems with faulty actuators: An average dwell time approach",

abstract = "This paper deals with the issues of observer-based reliable stabilization and H∞ control for a class of continuous-time switched Lipschitz nonlinear systems in the sense that actuators suffer a {"}destabilizing failure{"}. When the never-faulty actuators cannot stabilize the corresponding system, the closed-loop switched systems can still be exponentially stable based on the average dwell time scheme. Under the condition requiring that activation time ratio between stabilizable subsystems and unstabilizable ones is not less than a specified constant, sufficient condition is derived for the switched systems to be exponentially stabilizable for all admissible actuator failures via switching and associated observer-based feedback controllers. The result is also extended to solve the observer-based reliable H∞ control problem.",

author = "Li, {Li Li} and Jiaxin Feng and Dimirovski, {Georgi M.} and Jun Zhao",

year = "2009",

doi = "10.1109/ACC.2009.5160083",

language = "English",

isbn = "9781424445240",

series = "Proceedings of the American Control Conference",

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booktitle = "2009 American Control Conference, ACC 2009",

note = "2009 American Control Conference, ACC 2009 ; Conference date: 10-06-2009 Through 12-06-2009",

}

Li, LL, Feng, J, Dimirovski, GM & Zhao, J 2009, Reliable stabilization and H_∞ control for switched systems with faulty actuators: An average dwell time approach. in 2009 American Control Conference, ACC 2009., 5160083, Proceedings of the American Control Conference, pp. 1072-1077, 2009 American Control Conference, ACC 2009, St. Louis, MO, United States, 10/06/09. https://doi.org/10.1109/ACC.2009.5160083

Reliable stabilization and H_∞ control for switched systems with faulty actuators: An average dwell time approach. / Li, Li Li; Feng, Jiaxin; Dimirovski, Georgi M. et al.
2009 American Control Conference, ACC 2009. 2009. p. 1072-1077 5160083 (Proceedings of the American Control Conference).

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

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AB - This paper deals with the issues of observer-based reliable stabilization and H∞ control for a class of continuous-time switched Lipschitz nonlinear systems in the sense that actuators suffer a "destabilizing failure". When the never-faulty actuators cannot stabilize the corresponding system, the closed-loop switched systems can still be exponentially stable based on the average dwell time scheme. Under the condition requiring that activation time ratio between stabilizable subsystems and unstabilizable ones is not less than a specified constant, sufficient condition is derived for the switched systems to be exponentially stabilizable for all admissible actuator failures via switching and associated observer-based feedback controllers. The result is also extended to solve the observer-based reliable H∞ control problem.

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