Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time

Bo Cai; Kaixin Xu; Shengao Lu; Ye Liang; Lixian Zhang

doi:10.1109/CDC49753.2023.10383693

Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time

Bo Cai
, Kaixin Xu
, Shengao Lu
, Ye Liang
, Lixian Zhang

School of Astronautics, Harbin Institute of Technology

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

Abstract

This paper concentrates on the issues of stability and stabilization for a class of switched linear systems with a new class of switching signals in discrete-time domain. The considered switching signals are of general random mode-dependent sojourn-time (RMST) property. Compared with the dwell-time switching or Markov chain often studied in the literature, it is capable of describing the mode-dependent sojourn-time consisting of a fixed part and a random part with the known expectation. By fully considering the characteristics of RMST, the criteria of stability and stabilization are derived for the underlying systems. Further, the results are extended to the asynchronously switched stabilizing control for RMST switched systems. A numerical example is provided to demonstrate the effectiveness and potential of the theoretical results.

Original language	English
Title of host publication	2023 62nd IEEE Conference on Decision and Control, CDC 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5875-5880
Number of pages	6
ISBN (Electronic)	9798350301243
DOIs	https://doi.org/10.1109/CDC49753.2023.10383693
State	Published - 2023
Externally published	Yes
Event	62nd IEEE Conference on Decision and Control, CDC 2023 - Singapore, Singapore Duration: 13 Dec 2023 → 15 Dec 2023

Publication series

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

Conference

Conference	62nd IEEE Conference on Decision and Control, CDC 2023
Country/Territory	Singapore
City	Singapore
Period	13/12/23 → 15/12/23

Access to Document

10.1109/CDC49753.2023.10383693

Cite this

Cai, B., Xu, K., Lu, S., Liang, Y., & Zhang, L. (2023). Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time. In 2023 62nd IEEE Conference on Decision and Control, CDC 2023 (pp. 5875-5880). (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC49753.2023.10383693

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title = "Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time",

abstract = "This paper concentrates on the issues of stability and stabilization for a class of switched linear systems with a new class of switching signals in discrete-time domain. The considered switching signals are of general random mode-dependent sojourn-time (RMST) property. Compared with the dwell-time switching or Markov chain often studied in the literature, it is capable of describing the mode-dependent sojourn-time consisting of a fixed part and a random part with the known expectation. By fully considering the characteristics of RMST, the criteria of stability and stabilization are derived for the underlying systems. Further, the results are extended to the asynchronously switched stabilizing control for RMST switched systems. A numerical example is provided to demonstrate the effectiveness and potential of the theoretical results.",

author = "Bo Cai and Kaixin Xu and Shengao Lu and Ye Liang and Lixian Zhang",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 62nd IEEE Conference on Decision and Control, CDC 2023 ; Conference date: 13-12-2023 Through 15-12-2023",

year = "2023",

doi = "10.1109/CDC49753.2023.10383693",

language = "英语",

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

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

pages = "5875--5880",

booktitle = "2023 62nd IEEE Conference on Decision and Control, CDC 2023",

address = "美国",

}

Cai, B, Xu, K, Lu, S, Liang, Y & Zhang, L 2023, Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time. in 2023 62nd IEEE Conference on Decision and Control, CDC 2023. Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5875-5880, 62nd IEEE Conference on Decision and Control, CDC 2023, Singapore, Singapore, 13/12/23. https://doi.org/10.1109/CDC49753.2023.10383693

Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time. / Cai, Bo; Xu, Kaixin; Lu, Shengao et al.
2023 62nd IEEE Conference on Decision and Control, CDC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 5875-5880 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

T1 - Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time

AU - Cai, Bo

AU - Xu, Kaixin

AU - Lu, Shengao

AU - Liang, Ye

AU - Zhang, Lixian

PY - 2023

Y1 - 2023

N2 - This paper concentrates on the issues of stability and stabilization for a class of switched linear systems with a new class of switching signals in discrete-time domain. The considered switching signals are of general random mode-dependent sojourn-time (RMST) property. Compared with the dwell-time switching or Markov chain often studied in the literature, it is capable of describing the mode-dependent sojourn-time consisting of a fixed part and a random part with the known expectation. By fully considering the characteristics of RMST, the criteria of stability and stabilization are derived for the underlying systems. Further, the results are extended to the asynchronously switched stabilizing control for RMST switched systems. A numerical example is provided to demonstrate the effectiveness and potential of the theoretical results.

AB - This paper concentrates on the issues of stability and stabilization for a class of switched linear systems with a new class of switching signals in discrete-time domain. The considered switching signals are of general random mode-dependent sojourn-time (RMST) property. Compared with the dwell-time switching or Markov chain often studied in the literature, it is capable of describing the mode-dependent sojourn-time consisting of a fixed part and a random part with the known expectation. By fully considering the characteristics of RMST, the criteria of stability and stabilization are derived for the underlying systems. Further, the results are extended to the asynchronously switched stabilizing control for RMST switched systems. A numerical example is provided to demonstrate the effectiveness and potential of the theoretical results.

UR - https://www.scopus.com/pages/publications/85184829061

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DO - 10.1109/CDC49753.2023.10383693

M3 - 会议稿件

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T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 5875

EP - 5880

BT - 2023 62nd IEEE Conference on Decision and Control, CDC 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 62nd IEEE Conference on Decision and Control, CDC 2023

Y2 - 13 December 2023 through 15 December 2023

ER -

Analysis and Synthesis of Switched Linear Systems with Random Mode-Dependent Sojourn-Time

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