| Title:
|
A New result on stability analysis and $H_{\infty }$ dynamic output feedback controller for systems with time-varying delays (English) |
| Author:
|
Ghizlane, El khaloufi |
| Author:
|
Noreddine, Chaibi |
| Author:
|
Ismail, Boumhidi |
| Author:
|
Driss, El jimi |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
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1805-949X (online) |
| Volume:
|
61 |
| Issue:
|
2 |
| Year:
|
2025 |
| Pages:
|
202-220 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The stability and stabilization of systems with time-varying delays and external disturbances are the subject of this study. To circumvent the limitation of the Bessel-Legendre inequality, which cannot treat a time-varying delay system because the resulting limit contains reciprocal convexity, the generalized free-matrix-based integral inequality is used to generate less conservative stability criteria. Improved stabilization requirements are proposed in the form of linear matrix inequalities by developing a new augmented Lyapuno-Krasovskii function. To achieve resolved controller gains, a method for designing a $H_\infty$ dynamic output feedback controller based on linear matrix inequalities is then provided. Finally, three examples are used to validate the advantages of the approach over existing methods. (English) |
| Keyword:
|
stability |
| Keyword:
|
stabilization |
| Keyword:
|
free-matrix-based integral inequality |
| Keyword:
|
linear matrix inequality |
| Keyword:
|
$H_{\infty }$ dynamic output feedback controller |
| MSC:
|
93B52 |
| MSC:
|
93Dxx |
| DOI:
|
10.14736/kyb-2025-2-0202 |
| . |
| Date available:
|
2025-06-02T09:51:27Z |
| Last updated:
|
2025-06-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152988 |
| . |
| Reference:
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