| Title:
|
Realizability of precompensators in linear multivariable systems: A structural approach (English) |
| Author:
|
Ruiz-León, Javier |
| Author:
|
Castañeda, Eduardo |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2014 |
| Pages:
|
512-529 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this work, given a linear multivariable system, the problem of static state feedback realization of dynamic compensators is considered. Necessary and sufficient conditions for the existence of a static state feedback that realizes the dynamic compensator (square or full column rank compensator) are stated in structural terms, i. e., in terms of the zero-pole structure of the compensator, and the eigenvalues and the row image of the controllability matrix of the compensated system. Based on these conditions a formula is presented to find the state feedback matrices realizing a given compensator. It is also shown that the static state feedback realizing the compensator is unique if and only if the closed-loop system is controllable. (English) |
| Keyword:
|
linear systems |
| Keyword:
|
feedback control |
| Keyword:
|
compensator realizability |
| MSC:
|
93B52 |
| MSC:
|
93C05 |
| idZBL:
|
Zbl 06386424 |
| idMR:
|
MR3275082 |
| DOI:
|
10.14736/kyb-2014-4-0512 |
| . |
| Date available:
|
2014-11-06T14:54:57Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143981 |
| . |
| Reference:
|
[1] Castañeda, E., Ruiz-León, J.: New results on the state feedback realizability of full column rank precompensators..In: 6th International Conf. on Electrical Engineering, Computing Science and Automatic Control, Toluca 2009. |
| Reference:
|
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| Reference:
|
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| Reference:
|
[4] Herrera, A. N.: Static realization of dynamic precompensators..IEEE Trans. on Automatic Control. 37 (1992), 1391-1394. Zbl 0755.93042, MR 1183101, 10.1109/9.159579 |
| Reference:
|
[5] Herrera, A. N.: On the static realization of dynamic precompensators and some related problems..In: Proc. European Control Conference ECC-91, Grenoble 1991. MR 1183101 |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
[10] Kučera, V.: Realizing the action of a cascade compensator by state feedback..In: Proc. 11th IFAC World Congress. Tallin 1990, vol. 2, pp. 207-211. |
| Reference:
|
[11] Kučera, V., Herrera, A. N.: Static realization of dynamic precompensators for descriptor systems..System & Control Letters. 16 (1991), 273-276. Zbl 0728.93037, MR 1102213, 10.1016/0167-6911(91)90015-7 |
| Reference:
|
[12] Ruiz-León, J., Orozco, J. L., Begovich, O.: Closed-loop structure of decouplable linear multivariable systems..Kybernetika 41 (2005), 33-45. Zbl 1249.93079, MR 2130483 |
| . |
