| Title:
|
Construction of a controller with a generalized linear immersion (English) |
| Author:
|
Diaz-Vargas, Javier |
| Author:
|
Tuyub-Puc, Dennis |
| Author:
|
Villanueva-Novelo, Celia |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
47 |
| Issue:
|
5 |
| Year:
|
2011 |
| Pages:
|
790-811 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Gröbner bases for modules are used to calculate a generalized linear immersion for a plant whose solutions to its regulation equations are polynomials or pseudo-polynomials. After calculating the generalized linear immersion, we build the controller which gives the robust regulation. (English) |
| Keyword:
|
output regulation |
| Keyword:
|
robust |
| Keyword:
|
nonlinear |
| Keyword:
|
generalized linear immersion |
| Keyword:
|
Gröbner basis |
| Keyword:
|
module |
| Keyword:
|
Noetherian |
| Keyword:
|
monomial ordering |
| Keyword:
|
normal form |
| Keyword:
|
syzygy |
| MSC:
|
13E05 |
| MSC:
|
13P10 |
| MSC:
|
93C10 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 1236.93044 |
| idMR:
|
MR2850466 |
| . |
| Date available:
|
2011-11-10T15:45:54Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141692 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Castillo-Toledo, B., Čelikovský, S., Gennaro, S. Di: Generalized immersion and nonlinear robust output regulation problem.Kybernetika 40 (2004), 207–220. Zbl 1249.93055, MR 2069179 |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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[11] Ogata, K.: Modern Control Engineering.Third edition. Prentice–Hall, Upper Saddle River, New Jersey 1997. |
| Reference:
|
[12] Tuyub-Puc, D. R.: Aplicación de las Bases de Gröbner a la construcción de un controlador con una Inmersión Lineal Generalizada.Master’s thesis. Universidad Autónoma de Yucatán 2009. |
| Reference:
|
[13] Villanueva-Novelo, C., Čelikovský, S., Castillo-Toledo, B.: Structurally stable design of output regulation for a class of nonlinear systems.Kybernetika 37 (2001), 547–564. Zbl 1265.93218, MR 1877073 |
| . |
