| Title:
|
Sum-of-squares based observer design for polynomial systems with a known fixed time delay (English) |
| Author:
|
Rehák, Branislav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
51 |
| Issue:
|
5 |
| Year:
|
2015 |
| Pages:
|
856-873 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An observer for a system with polynomial nonlinearities is designed. The system is assumed to exhibit a time delay whose value is supposed to be constant and known. The design is carried out using the sum-of-squares method. The key point is defining a suitable Lyapunov-Krasovskii functional. The resulting observer is in form of a polynomial in the observable variables. The results are illustrated by two examples. (English) |
| Keyword:
|
sum-of-squares polynomial |
| Keyword:
|
observer |
| Keyword:
|
polynomial system |
| MSC:
|
93B51 |
| idZBL:
|
Zbl 06537784 |
| idMR:
|
MR3445988 |
| DOI:
|
10.14736/kyb-2015-5-0856 |
| . |
| Date available:
|
2015-12-16T19:07:05Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144747 |
| . |
| Reference:
|
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| . |
