Geodesic
Realizability of precompensators in linear multivariable systems: A structural approach
Kybernetika, Tome 50 (2014) no. 4, pp. 512-529

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.14736/kyb-2014-4-0512
Classification : 93B52, 93C05
Keywords: linear systems; feedback control; compensator realizability 
@article{10_14736_kyb_2014_4_0512,
     author = {Ruiz-Le\'on, Javier and Casta\~neda, Eduardo},
     title = {Realizability of precompensators in linear multivariable systems: {A} structural approach},
     journal = {Kybernetika},
     pages = {512--529},
     publisher = {mathdoc},
     volume = {50},
     number = {4},
     year = {2014},
     doi = {10.14736/kyb-2014-4-0512},
     mrnumber = {3275082},
     zbl = {06386424},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-4-0512/}
}
TY  - JOUR
AU  - Ruiz-León, Javier
AU  - Castañeda, Eduardo
TI  - Realizability of precompensators in linear multivariable systems: A structural approach
JO  - Kybernetika
PY  - 2014
SP  - 512
EP  - 529
VL  - 50
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-4-0512/
DO  - 10.14736/kyb-2014-4-0512
LA  - en
ID  - 10_14736_kyb_2014_4_0512
ER  - 
%0 Journal Article
%A Ruiz-León, Javier
%A Castañeda, Eduardo
%T Realizability of precompensators in linear multivariable systems: A structural approach
%J Kybernetika
%D 2014
%P 512-529
%V 50
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-4-0512/
%R 10.14736/kyb-2014-4-0512
%G en
%F 10_14736_kyb_2014_4_0512
Ruiz-León, Javier; Castañeda, Eduardo. Realizability of precompensators in linear multivariable systems: A structural approach. Kybernetika, Tome 50 (2014) no. 4, pp. 512-529. doi: 10.14736/kyb-2014-4-0512

Cité par Sources :