New stability results for discrete-time switched systems under admissible edge-dependent average persistent dwell-time or admissible edge-dependent persistent dwell-time switching
Copyright © 2024 ISA. Published by Elsevier Ltd. All rights reserved..
This paper is devoted to the stability analysis of a class of discrete-time switched systems under newly designed switching regularities. The utilized switching is extended from the primitive mode-dependent persistent dwell-time switching. By integrating the existing admissible edge-dependent average dwell-time switching into the mode-dependent persistent dwell-time regime, a novel admissible edge-dependent average persistent dwell-time strategy involving the notion of admissible transition edges is proposed. The integrated admissible edge-dependent average dwell-time switching has been confirmed to be superior to mode-dependent average dwell-time switching. This superiority makes the proposed switching more general than the relaxed mode-dependent persistent dwell-time switching in the literature. Even if the embedded admissible edge-dependent average dwell-time restrictions degrade to admissible edge-dependent dwell-time ones under special parameter settings, the resulting admissible edge-dependent persistent dwell-time switching retains the advantage of admissible transition edges to generalize the original mode-dependent persistent dwell-time switching. Meanwhile, to remove the switching information reliance in the existing multiple convex Lyapunov functions, an improved multiple convex Lyapunov function method is devised. The designed Lyapunov function can be used to implement broader feasible ranges and tighter lower bounds of admissible edge-dependent average persistent dwell-time (or admissible edge-dependent persistent dwell-time). Finally, the validity and efficiency of the presented approaches are illustrated by a three-phase inverter and a numerical example.
| Medienart: |
E-Artikel |
|---|
| Erscheinungsjahr: |
2024 |
|---|---|
| Erschienen: |
2024 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:146 |
|---|---|
| Enthalten in: |
ISA transactions - 146(2024) vom: 21. März, Seite 297-307 |
| Sprache: |
Englisch |
|---|
| Beteiligte Personen: |
Shen, Qian [VerfasserIn] |
|---|
| Links: |
|---|
| Anmerkungen: |
Date Revised 21.03.2024 published: Print-Electronic Citation Status PubMed-not-MEDLINE |
|---|
| doi: |
10.1016/j.isatra.2023.12.027 |
|---|
| funding: |
|
|---|---|
| Förderinstitution / Projekttitel: |
|
| PPN (Katalog-ID): |
NLM366858866 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | NLM366858866 | ||
| 003 | DE-627 | ||
| 005 | 20240323000534.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 240114s2024 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.isatra.2023.12.027 |2 doi | |
| 028 | 5 | 2 | |a pubmed24n1341.xml |
| 035 | |a (DE-627)NLM366858866 | ||
| 035 | |a (NLM)38195291 | ||
| 035 | |a (PII)S0019-0578(23)00585-2 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 100 | 1 | |a Shen, Qian |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a New stability results for discrete-time switched systems under admissible edge-dependent average persistent dwell-time or admissible edge-dependent persistent dwell-time switching |
| 264 | 1 | |c 2024 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ƒaComputermedien |b c |2 rdamedia | ||
| 338 | |a ƒa Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Date Revised 21.03.2024 | ||
| 500 | |a published: Print-Electronic | ||
| 500 | |a Citation Status PubMed-not-MEDLINE | ||
| 520 | |a Copyright © 2024 ISA. Published by Elsevier Ltd. All rights reserved. | ||
| 520 | |a This paper is devoted to the stability analysis of a class of discrete-time switched systems under newly designed switching regularities. The utilized switching is extended from the primitive mode-dependent persistent dwell-time switching. By integrating the existing admissible edge-dependent average dwell-time switching into the mode-dependent persistent dwell-time regime, a novel admissible edge-dependent average persistent dwell-time strategy involving the notion of admissible transition edges is proposed. The integrated admissible edge-dependent average dwell-time switching has been confirmed to be superior to mode-dependent average dwell-time switching. This superiority makes the proposed switching more general than the relaxed mode-dependent persistent dwell-time switching in the literature. Even if the embedded admissible edge-dependent average dwell-time restrictions degrade to admissible edge-dependent dwell-time ones under special parameter settings, the resulting admissible edge-dependent persistent dwell-time switching retains the advantage of admissible transition edges to generalize the original mode-dependent persistent dwell-time switching. Meanwhile, to remove the switching information reliance in the existing multiple convex Lyapunov functions, an improved multiple convex Lyapunov function method is devised. The designed Lyapunov function can be used to implement broader feasible ranges and tighter lower bounds of admissible edge-dependent average persistent dwell-time (or admissible edge-dependent persistent dwell-time). Finally, the validity and efficiency of the presented approaches are illustrated by a three-phase inverter and a numerical example | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a Admissible edge-dependent average persistent dwell-time | |
| 650 | 4 | |a Admissible edge-dependent persistent dwell-time | |
| 650 | 4 | |a Admissible transition edge | |
| 650 | 4 | |a Discrete-time switched systems | |
| 650 | 4 | |a Multiple convex Lyapunov function | |
| 700 | 1 | |a Chen, Yihan |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t ISA transactions |d 1971 |g 146(2024) vom: 21. März, Seite 297-307 |w (DE-627)NLM001336894 |x 1879-2022 |7 nnns |
| 773 | 1 | 8 | |g volume:146 |g year:2024 |g day:21 |g month:03 |g pages:297-307 |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1016/j.isatra.2023.12.027 |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a GBV_NLM | ||
| 951 | |a AR | ||
| 952 | |d 146 |j 2024 |b 21 |c 03 |h 297-307 | ||