A stabilizing slow-switching law for switched discrete-time linear systems

Ai Guo Wu; Gang Feng; Guang Ren Duan; Huijun Gao

doi:10.1109/ISIC.2010.5612904

A stabilizing slow-switching law for switched discrete-time linear systems

Ai Guo Wu^*
, Gang Feng
, Guang Ren Duan
, Huijun Gao

^*Corresponding author for this work

School of Astronautics

City University of Hong Kong
Harbin Institute of Technology Shenzhen

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

1 Scopus citations

Abstract

For a class of switched discrete-time linear systems, a state dependent switching law with dwell time is designed to make the overall system asymptotically stable. A main feature is that the Lyapunov-like function may not monotonically decreasing in both time-driven and state-driven periods, and this feature allows the proposed stabilizing switching law being of lower switching frequency in contrast with recent results. An illustrative example is employed to show the effectiveness of the proposed switching law. Furthermore, it is shown that the proposed switching law ensures that a bounded perturbation implies bounded states.

Original language	English
Title of host publication	2010 IEEE International Symposium on Intelligent Control, ISIC 2010
Pages	2099-2104
Number of pages	6
DOIs	https://doi.org/10.1109/ISIC.2010.5612904
State	Published - 2010
Event	2010 IEEE International Symposium on Intelligent Control, ISIC 2010 - Yokohama, Japan Duration: 8 Sep 2010 → 10 Sep 2010

Publication series

Name	IEEE International Symposium on Intelligent Control - Proceedings

Conference

Conference	2010 IEEE International Symposium on Intelligent Control, ISIC 2010
Country/Territory	Japan
City	Yokohama
Period	8/09/10 → 10/09/10

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10.1109/ISIC.2010.5612904

Cite this

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title = "A stabilizing slow-switching law for switched discrete-time linear systems",

abstract = "For a class of switched discrete-time linear systems, a state dependent switching law with dwell time is designed to make the overall system asymptotically stable. A main feature is that the Lyapunov-like function may not monotonically decreasing in both time-driven and state-driven periods, and this feature allows the proposed stabilizing switching law being of lower switching frequency in contrast with recent results. An illustrative example is employed to show the effectiveness of the proposed switching law. Furthermore, it is shown that the proposed switching law ensures that a bounded perturbation implies bounded states.",

author = "Wu, \{Ai Guo\} and Gang Feng and Duan, \{Guang Ren\} and Huijun Gao",

year = "2010",

doi = "10.1109/ISIC.2010.5612904",

language = "英语",

isbn = "9781424453603",

series = "IEEE International Symposium on Intelligent Control - Proceedings",

pages = "2099--2104",

booktitle = "2010 IEEE International Symposium on Intelligent Control, ISIC 2010",

note = "2010 IEEE International Symposium on Intelligent Control, ISIC 2010 ; Conference date: 08-09-2010 Through 10-09-2010",

}

Wu, AG, Feng, G, Duan, GR & Gao, H 2010, A stabilizing slow-switching law for switched discrete-time linear systems. in 2010 IEEE International Symposium on Intelligent Control, ISIC 2010., 5612904, IEEE International Symposium on Intelligent Control - Proceedings, pp. 2099-2104, 2010 IEEE International Symposium on Intelligent Control, ISIC 2010, Yokohama, Japan, 8/09/10. https://doi.org/10.1109/ISIC.2010.5612904

A stabilizing slow-switching law for switched discrete-time linear systems. / Wu, Ai Guo; Feng, Gang; Duan, Guang Ren et al.
2010 IEEE International Symposium on Intelligent Control, ISIC 2010. 2010. p. 2099-2104 5612904 (IEEE International Symposium on Intelligent Control - Proceedings).

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

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AU - Gao, Huijun

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N2 - For a class of switched discrete-time linear systems, a state dependent switching law with dwell time is designed to make the overall system asymptotically stable. A main feature is that the Lyapunov-like function may not monotonically decreasing in both time-driven and state-driven periods, and this feature allows the proposed stabilizing switching law being of lower switching frequency in contrast with recent results. An illustrative example is employed to show the effectiveness of the proposed switching law. Furthermore, it is shown that the proposed switching law ensures that a bounded perturbation implies bounded states.

AB - For a class of switched discrete-time linear systems, a state dependent switching law with dwell time is designed to make the overall system asymptotically stable. A main feature is that the Lyapunov-like function may not monotonically decreasing in both time-driven and state-driven periods, and this feature allows the proposed stabilizing switching law being of lower switching frequency in contrast with recent results. An illustrative example is employed to show the effectiveness of the proposed switching law. Furthermore, it is shown that the proposed switching law ensures that a bounded perturbation implies bounded states.

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M3 - 会议稿件

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T2 - 2010 IEEE International Symposium on Intelligent Control, ISIC 2010

Y2 - 8 September 2010 through 10 September 2010

ER -

A stabilizing slow-switching law for switched discrete-time linear systems

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