| Title:
|
Nonlinear bounded control for time-delay systems (English) |
| Author:
|
Garcia, Germain |
| Author:
|
Tarbouriech, Sophie |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
[381]-396 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A method to derive a nonlinear bounded state feedback controller for a linear continuous-time system with time-delay in the state is proposed. The controllers are based on an $e$-parameterized family of algebraic Riccati equations or on an $e$-parameterized family of LMI optimization problems. Hence, nested ellipsoidal neighborhoods of the origin are determined. Thus, from the Lyapunov–Krasovskii theorem, the uniform asymptotic stability of the closed-loop system is guaranteed and a certain performance level is attained through a quadratic cost function. (English) |
| Keyword:
|
state feedback controller |
| Keyword:
|
time-delay |
| MSC:
|
93B52 |
| MSC:
|
93C10 |
| MSC:
|
93C23 |
| MSC:
|
93D20 |
| idZBL:
|
Zbl 1265.93131 |
| idMR:
|
MR1859093 |
| . |
| Date available:
|
2009-09-24T19:40:35Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135418 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
