New stability criteria of switched systems with unstable modes under a weighted ADT scheme

Qiang Yu; Guisheng Zhai

doi:10.1080/00207721.2021.1898695

New stability criteria of switched systems with unstable modes under a weighted ADT scheme

Qiang Yu, Guisheng Zhai

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Two concepts of the weighted average dwell time (WADT) and the fast weighted average dwell time (FWADT) are introduced for continuous-time switched systems. The stability problems for a switched system with WADT and FWADT are investigated under a class of ergodic switching signals. The relationship between the ADT/mode-dependent ADT schemes and the WADT scheme is also discussed, which shows that the classic schemes are included in the new one under some conditions. The proposed switching law based on the (F)WADT scheme is more flexible and has a larger feasible region than the existing results. Finally, two numerical examples with some comparisons among several schemes are included to illustrate the validity and superiority of the developed techniques.

Original language	English
Pages (from-to)	2735-2751
Number of pages	17
Journal	International Journal of Systems Science
Volume	52
Issue number	13
DOIs	https://doi.org/10.1080/00207721.2021.1898695
Publication status	Published - 2021

Keywords

Switched systems
mode-dependent average dwell time
stability
weighted average dwell time

ASJC Scopus subject areas

Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications

Access to Document

10.1080/00207721.2021.1898695

Cite this

@article{01bddba66b0e43b5aee9de57a7f1c191,

title = "New stability criteria of switched systems with unstable modes under a weighted ADT scheme",

abstract = "Two concepts of the weighted average dwell time (WADT) and the fast weighted average dwell time (FWADT) are introduced for continuous-time switched systems. The stability problems for a switched system with WADT and FWADT are investigated under a class of ergodic switching signals. The relationship between the ADT/mode-dependent ADT schemes and the WADT scheme is also discussed, which shows that the classic schemes are included in the new one under some conditions. The proposed switching law based on the (F)WADT scheme is more flexible and has a larger feasible region than the existing results. Finally, two numerical examples with some comparisons among several schemes are included to illustrate the validity and superiority of the developed techniques.",

keywords = "Switched systems, mode-dependent average dwell time, stability, weighted average dwell time",

author = "Qiang Yu and Guisheng Zhai",

note = "Funding Information: This work was supported partially by the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (2017149) and the Key Projects of Basic Research Fund of Modern College of Humanities and sciences of Shanxi Normal University (2020JCYJ31). Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

doi = "10.1080/00207721.2021.1898695",

language = "English",

volume = "52",

pages = "2735--2751",

journal = "International Journal of Systems Science",

issn = "0020-7721",

publisher = "Taylor and Francis Ltd.",

number = "13",

}

TY - JOUR

T1 - New stability criteria of switched systems with unstable modes under a weighted ADT scheme

AU - Yu, Qiang

AU - Zhai, Guisheng

N1 - Funding Information: This work was supported partially by the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (2017149) and the Key Projects of Basic Research Fund of Modern College of Humanities and sciences of Shanxi Normal University (2020JCYJ31). Publisher Copyright: © 2021 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2021

Y1 - 2021

N2 - Two concepts of the weighted average dwell time (WADT) and the fast weighted average dwell time (FWADT) are introduced for continuous-time switched systems. The stability problems for a switched system with WADT and FWADT are investigated under a class of ergodic switching signals. The relationship between the ADT/mode-dependent ADT schemes and the WADT scheme is also discussed, which shows that the classic schemes are included in the new one under some conditions. The proposed switching law based on the (F)WADT scheme is more flexible and has a larger feasible region than the existing results. Finally, two numerical examples with some comparisons among several schemes are included to illustrate the validity and superiority of the developed techniques.

AB - Two concepts of the weighted average dwell time (WADT) and the fast weighted average dwell time (FWADT) are introduced for continuous-time switched systems. The stability problems for a switched system with WADT and FWADT are investigated under a class of ergodic switching signals. The relationship between the ADT/mode-dependent ADT schemes and the WADT scheme is also discussed, which shows that the classic schemes are included in the new one under some conditions. The proposed switching law based on the (F)WADT scheme is more flexible and has a larger feasible region than the existing results. Finally, two numerical examples with some comparisons among several schemes are included to illustrate the validity and superiority of the developed techniques.

KW - Switched systems

KW - mode-dependent average dwell time

KW - stability

KW - weighted average dwell time

UR - http://www.scopus.com/inward/record.url?scp=85102729424&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85102729424&partnerID=8YFLogxK

U2 - 10.1080/00207721.2021.1898695

DO - 10.1080/00207721.2021.1898695

M3 - Article

AN - SCOPUS:85102729424

SN - 0020-7721

VL - 52

SP - 2735

EP - 2751

JO - International Journal of Systems Science

JF - International Journal of Systems Science

IS - 13

ER -

New stability criteria of switched systems with unstable modes under a weighted ADT scheme

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this