Nonregular decoupling with stability of two-output systems

Javier Ruiz; Jorge A. Torres Muñoz; Francisco Lizaola

Kybernetika (2002)

  • Volume: 38, Issue: 5, page [553]-569
  • ISSN: 0023-5954

Abstract

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In this paper we present a solution to the decoupling problem with stability of linear multivariable systems with 2 outputs, using nonregular static state feedback. The problem is tackled using an algebraic-polynomial approach, and the main idea is to test the conditions for a decoupling compensator with stability to be feedback realizable. It is shown that the problem has a solution if and only if Morse’s list I 2 is greater than or equal to the infinite and unstable structure of the proper and stable part of the stable interactor of the system. A constructive procedure to find a state feedback, which achieves decoupling with stability, is also presented.

How to cite

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Ruiz, Javier, Muñoz, Jorge A. Torres, and Lizaola, Francisco. "Nonregular decoupling with stability of two-output systems." Kybernetika 38.5 (2002): [553]-569. <http://eudml.org/doc/33603>.

@article{Ruiz2002,
abstract = {In this paper we present a solution to the decoupling problem with stability of linear multivariable systems with 2 outputs, using nonregular static state feedback. The problem is tackled using an algebraic-polynomial approach, and the main idea is to test the conditions for a decoupling compensator with stability to be feedback realizable. It is shown that the problem has a solution if and only if Morse’s list $I_\{2\}$ is greater than or equal to the infinite and unstable structure of the proper and stable part of the stable interactor of the system. A constructive procedure to find a state feedback, which achieves decoupling with stability, is also presented.},
author = {Ruiz, Javier, Muñoz, Jorge A. Torres, Lizaola, Francisco},
journal = {Kybernetika},
keywords = {linear multivariable system; decoupling; stability; linear multivariable system; decoupling; stability},
language = {eng},
number = {5},
pages = {[553]-569},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Nonregular decoupling with stability of two-output systems},
url = {http://eudml.org/doc/33603},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Ruiz, Javier
AU - Muñoz, Jorge A. Torres
AU - Lizaola, Francisco
TI - Nonregular decoupling with stability of two-output systems
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 5
SP - [553]
EP - 569
AB - In this paper we present a solution to the decoupling problem with stability of linear multivariable systems with 2 outputs, using nonregular static state feedback. The problem is tackled using an algebraic-polynomial approach, and the main idea is to test the conditions for a decoupling compensator with stability to be feedback realizable. It is shown that the problem has a solution if and only if Morse’s list $I_{2}$ is greater than or equal to the infinite and unstable structure of the proper and stable part of the stable interactor of the system. A constructive procedure to find a state feedback, which achieves decoupling with stability, is also presented.
LA - eng
KW - linear multivariable system; decoupling; stability; linear multivariable system; decoupling; stability
UR - http://eudml.org/doc/33603
ER -

References

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  9. Morse A. S., 10.1137/0311037, SIAM J. Control 11 (1973), 446–465 (1973) Zbl0259.93011MR0386762DOI10.1137/0311037
  10. Ruiz-León J., Zagalak, P., Eldem V., On the Morgan problem with stability, Kybernetika 32 (1996), 425–441 (1996) MR1420133
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