Asynchronous H∞ stabilization of switched systems with overlapped time-varying detection delays

Yu Ren; Guanghui Sun; Meng Joo Er

doi:10.1109/SMC.2016.7844608

Asynchronous H_∞ stabilization of switched systems with overlapped time-varying detection delays

Yu Ren
, Guanghui Sun
, Meng Joo Er

School of Astronautics

Harbin Institute of Technology
Nanyang Technological University

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

Abstract

This paper is concerned with asynchronous H_∞ state-feedback stabilization problem for a class of switched linear systems with detection delays. Without lose of generality, the switched signal is considered to satisfy dwell time switching. Time-varying overlapped detection delay, which is allowed to be overlapped with others and is much more challenging than the detection delay of overlapped-free, is introduced. By establishing the stability of the considered autonomous system, a controller is designed such that the closed-loop nominal system is globally uniformly exponentially stable. H_∞ stabilization controller is further designed for the considered system with additive disturbance. A numerical example illustrates that the theoretical results are excellent.

Original language	English
Title of host publication	2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2460-2465
Number of pages	6
ISBN (Electronic)	9781509018970
DOIs	https://doi.org/10.1109/SMC.2016.7844608
State	Published - 6 Feb 2017
Event	2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Budapest, Hungary Duration: 9 Oct 2016 → 12 Oct 2016

Publication series

Name	2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings

Conference

Conference	2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016
Country/Territory	Hungary
City	Budapest
Period	9/10/16 → 12/10/16

Keywords

Additive disturbance
Asynchronous stabilization
H-gain performance
Overlapped detection delay

Access to Document

10.1109/SMC.2016.7844608

Cite this

Ren, Y., Sun, G., & Er, M. J. (2017). Asynchronous H_∞ stabilization of switched systems with overlapped time-varying detection delays. In 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings (pp. 2460-2465). Article 7844608 (2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SMC.2016.7844608

Ren, Yu ; Sun, Guanghui ; Er, Meng Joo. / Asynchronous H_∞ stabilization of switched systems with overlapped time-varying detection delays. 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 2460-2465 (2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings).

@inproceedings{0f8de0eab6e5466a90da702b0ac42d94,

title = "Asynchronous H∞ stabilization of switched systems with overlapped time-varying detection delays",

abstract = "This paper is concerned with asynchronous H∞ state-feedback stabilization problem for a class of switched linear systems with detection delays. Without lose of generality, the switched signal is considered to satisfy dwell time switching. Time-varying overlapped detection delay, which is allowed to be overlapped with others and is much more challenging than the detection delay of overlapped-free, is introduced. By establishing the stability of the considered autonomous system, a controller is designed such that the closed-loop nominal system is globally uniformly exponentially stable. H∞ stabilization controller is further designed for the considered system with additive disturbance. A numerical example illustrates that the theoretical results are excellent.",

keywords = "Additive disturbance, Asynchronous stabilization, H-gain performance, Overlapped detection delay",

author = "Yu Ren and Guanghui Sun and Er, \{Meng Joo\}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 ; Conference date: 09-10-2016 Through 12-10-2016",

year = "2017",

month = feb,

day = "6",

doi = "10.1109/SMC.2016.7844608",

language = "英语",

series = "2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings",

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

pages = "2460--2465",

booktitle = "2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings",

address = "美国",

}

Ren, Y, Sun, G & Er, MJ 2017, Asynchronous H_∞ stabilization of switched systems with overlapped time-varying detection delays. in 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings., 7844608, 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 2460-2465, 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016, Budapest, Hungary, 9/10/16. https://doi.org/10.1109/SMC.2016.7844608

Asynchronous H_∞ stabilization of switched systems with overlapped time-varying detection delays. / Ren, Yu; Sun, Guanghui; Er, Meng Joo.
2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. p. 2460-2465 7844608 (2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings).

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

TY - GEN

T1 - Asynchronous H∞ stabilization of switched systems with overlapped time-varying detection delays

AU - Ren, Yu

AU - Sun, Guanghui

AU - Er, Meng Joo

PY - 2017/2/6

Y1 - 2017/2/6

N2 - This paper is concerned with asynchronous H∞ state-feedback stabilization problem for a class of switched linear systems with detection delays. Without lose of generality, the switched signal is considered to satisfy dwell time switching. Time-varying overlapped detection delay, which is allowed to be overlapped with others and is much more challenging than the detection delay of overlapped-free, is introduced. By establishing the stability of the considered autonomous system, a controller is designed such that the closed-loop nominal system is globally uniformly exponentially stable. H∞ stabilization controller is further designed for the considered system with additive disturbance. A numerical example illustrates that the theoretical results are excellent.

AB - This paper is concerned with asynchronous H∞ state-feedback stabilization problem for a class of switched linear systems with detection delays. Without lose of generality, the switched signal is considered to satisfy dwell time switching. Time-varying overlapped detection delay, which is allowed to be overlapped with others and is much more challenging than the detection delay of overlapped-free, is introduced. By establishing the stability of the considered autonomous system, a controller is designed such that the closed-loop nominal system is globally uniformly exponentially stable. H∞ stabilization controller is further designed for the considered system with additive disturbance. A numerical example illustrates that the theoretical results are excellent.

KW - Additive disturbance

KW - Asynchronous stabilization

KW - H-gain performance

KW - Overlapped detection delay

UR - https://www.scopus.com/pages/publications/85015808541

U2 - 10.1109/SMC.2016.7844608

DO - 10.1109/SMC.2016.7844608

M3 - 会议稿件

AN - SCOPUS:85015808541

T3 - 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings

SP - 2460

EP - 2465

BT - 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016

Y2 - 9 October 2016 through 12 October 2016

ER -

Ren Y, Sun G, Er MJ. Asynchronous H_∞ stabilization of switched systems with overlapped time-varying detection delays. In 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. p. 2460-2465. 7844608. (2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings). doi: 10.1109/SMC.2016.7844608