| Title:
|
Robust observer-based finite-time $H_{\infty }$ control designs for discrete nonlinear systems with time-varying delay (English) |
| Author:
|
Dong, Yali |
| Author:
|
Wang, Huimin |
| Author:
|
Deng, Mengxiao |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
102-117 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper investigates the problem of observer-based finite-time $H_{\infty}$ control for the uncertain discrete-time systems with nonlinear perturbations and time-varying delay. The Luenberger observer is designed to measure the system state. The observer-based controller is constructed. By constructing an appropriated Lyapunov-.Krasovskii functional, sufficient conditions are derived to ensure the resulting closed-loop system is $H_{\infty}$ finite-time bounded via observer-based control. The observer-based controller for the finite-time $H_{\infty}$ control problem is developed. Finally, a numerical example illustrates the efficiency of proposed methods. (English) |
| Keyword:
|
observer-based control |
| Keyword:
|
$H_{\infty }$ finite-time boundedness |
| Keyword:
|
Lyapunov--Krasovskii functional |
| Keyword:
|
discrete-time systems |
| Keyword:
|
time-varying delay |
| MSC:
|
93B35 |
| MSC:
|
93B52 |
| MSC:
|
93C10 |
| MSC:
|
93D09 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 07396258 |
| idMR:
|
MR4231859 |
| DOI:
|
10.14736/kyb-2021-1-0102 |
| . |
| Date available:
|
2021-07-30T12:53:00Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149029 |
| . |
| Reference:
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