| Title:
             | 
Parametrization and reliable extraction of proper compensators (English) | 
| Author:
             | 
Kraffer, Ferdinand | 
| Author:
             | 
Zagalak, Petr | 
| Language:
             | 
English | 
| Journal:
             | 
Kybernetika | 
| ISSN:
             | 
0023-5954 | 
| Volume:
             | 
38 | 
| Issue:
             | 
5 | 
| Year:
             | 
2002 | 
| Pages:
             | 
[521]-540 | 
| Summary lang:
             | 
English | 
| . | 
| Category:
             | 
math | 
| . | 
| Summary:
             | 
The polynomial matrix equation $X_lD_r$ $+$ $Y_lN_r$ $=$ $D_k$ is solved for those $X_l$ and $Y_l$ that give proper transfer functions $X_l^{-1}Y_l$ characterizing a subclass of compensators, contained in the class whose arbitrary element can be cascaded to a plant with the given strictly proper transfer function $N_rD_r^{-1}$ such that wrapping the negative unity feedback round the cascade gives a system whose poles are specified by $D_k$. The subclass is navigated and extracted through a conventional parametrization whose denominators are affine to row echelon form and the centre is in a compensator whose numerator has minimum column degrees. Applications include stabilization of linear multivariable systems. (English) | 
| Keyword:
             | 
compensator | 
| Keyword:
             | 
stabilization | 
| MSC:
             | 
93B52 | 
| MSC:
             | 
93C05 | 
| MSC:
             | 
93D15 | 
| MSC:
             | 
93D21 | 
| idZBL:
             | 
Zbl 1265.93122 | 
| idMR:
             | 
MR1966943 | 
| . | 
| Date available:
             | 
2009-09-24T19:48:27Z | 
| Last updated:
             | 
2015-03-25 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/135484 | 
| . | 
| Reference:
             | 
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| Reference:
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| . |