| Title:
|
Routh-type $L_2$ model reduction revisited (English) |
| Author:
|
Krajewski, Wiesław |
| Author:
|
Viaro, Umberto |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
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0023-5954 (print) |
| ISSN:
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1805-949X (online) |
| Volume:
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54 |
| Issue:
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3 |
| Year:
|
2018 |
| Pages:
|
557-575 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A computationally simple method for generating reduced-order models that minimise the $L_2$ norm of the approximation error while preserving a number of second-order information indices as well as the steady-state value of the step response, is presented. The method exploits the energy-conservation property peculiar to the Routh reduction method and the interpolation property of the $L_2$-optimal approximation. Two examples taken from the relevant literature show that the suggested techniques may lead to approximations that are not worse than those afforded by popular more cumbersome techniques. (English) |
| Keyword:
|
model reduction |
| Keyword:
|
$L_2$ norm |
| Keyword:
|
Routh approximation |
| Keyword:
|
steady–state response |
| MSC:
|
93A15 |
| MSC:
|
93B11 |
| MSC:
|
93C05 |
| idZBL:
|
Zbl 06987022 |
| idMR:
|
MR3844832 |
| DOI:
|
10.14736/kyb-2018-3-0557 |
| . |
| Date available:
|
2018-11-02T10:19:53Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147436 |
| . |
| Reference:
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