Closed-loop structure of decouplable linear multivariable systems

Javier Ruiz; Jorge Luis Orozco; Ofelia Begovich

Kybernetika (2005)

  • Volume: 41, Issue: 1, page [33]-45
  • ISSN: 0023-5954

Abstract

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Considering a controllable, square, linear multivariable system, which is decouplable by static state feedback, we completely characterize in this paper the structure of the decoupled closed-loop system. The family of all attainable transfer function matrices for the decoupled closed-loop system is characterized, which also completely establishes all possible combinations of attainable finite pole and zero structures. The set of assignable poles as well as the set of fixed decoupling poles are determined, and decoupling is achieved avoiding unnecessary cancellations of invariant zeros. For a particular attainable decoupled closed-loop structure, it is shown how to find the corresponding state feedback, and it is proved that this feedback is unique if and only if the system is controllable.

How to cite

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Ruiz, Javier, Orozco, Jorge Luis, and Begovich, Ofelia. "Closed-loop structure of decouplable linear multivariable systems." Kybernetika 41.1 (2005): [33]-45. <http://eudml.org/doc/33737>.

@article{Ruiz2005,
abstract = {Considering a controllable, square, linear multivariable system, which is decouplable by static state feedback, we completely characterize in this paper the structure of the decoupled closed-loop system. The family of all attainable transfer function matrices for the decoupled closed-loop system is characterized, which also completely establishes all possible combinations of attainable finite pole and zero structures. The set of assignable poles as well as the set of fixed decoupling poles are determined, and decoupling is achieved avoiding unnecessary cancellations of invariant zeros. For a particular attainable decoupled closed-loop structure, it is shown how to find the corresponding state feedback, and it is proved that this feedback is unique if and only if the system is controllable.},
author = {Ruiz, Javier, Orozco, Jorge Luis, Begovich, Ofelia},
journal = {Kybernetika},
keywords = {linear systems; multivariable systems; feedback control; pole and zero placement problems; linear system; multivariable system; feedback control; pole and zero placement problem},
language = {eng},
number = {1},
pages = {[33]-45},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Closed-loop structure of decouplable linear multivariable systems},
url = {http://eudml.org/doc/33737},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Ruiz, Javier
AU - Orozco, Jorge Luis
AU - Begovich, Ofelia
TI - Closed-loop structure of decouplable linear multivariable systems
JO - Kybernetika
PY - 2005
PB - Institute of Information Theory and Automation AS CR
VL - 41
IS - 1
SP - [33]
EP - 45
AB - Considering a controllable, square, linear multivariable system, which is decouplable by static state feedback, we completely characterize in this paper the structure of the decoupled closed-loop system. The family of all attainable transfer function matrices for the decoupled closed-loop system is characterized, which also completely establishes all possible combinations of attainable finite pole and zero structures. The set of assignable poles as well as the set of fixed decoupling poles are determined, and decoupling is achieved avoiding unnecessary cancellations of invariant zeros. For a particular attainable decoupled closed-loop structure, it is shown how to find the corresponding state feedback, and it is proved that this feedback is unique if and only if the system is controllable.
LA - eng
KW - linear systems; multivariable systems; feedback control; pole and zero placement problems; linear system; multivariable system; feedback control; pole and zero placement problem
UR - http://eudml.org/doc/33737
ER -

References

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