Decentralized stabilization and strong stabilization of a bicoprime factorized plant

Dibyendu Baksi; V. V. Patel; Kanti B. Datta; Ray, G. D.

Kybernetika (1999)

  • Volume: 35, Issue: 2, page [235]-253
  • ISSN: 0023-5954

Abstract

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In this paper, a necessary and sufficient condition for decentralized stabilizability for expanding construction of large scale systems is established which involves the computation of blocking zeros and testing a rational function for sign changes at these blocking zeros. Results for the scalar as also multivariable cases are presented and a systematic procedure for designing the stabilizing controller is also outlined. The proposed theory is applicable to a wider class of systems than those for which existing methods can be used. There are a few matrix identities established in this paper which are of independent interest in Control Theory.

How to cite

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Baksi, Dibyendu, et al. "Decentralized stabilization and strong stabilization of a bicoprime factorized plant." Kybernetika 35.2 (1999): [235]-253. <http://eudml.org/doc/33425>.

@article{Baksi1999,
abstract = {In this paper, a necessary and sufficient condition for decentralized stabilizability for expanding construction of large scale systems is established which involves the computation of blocking zeros and testing a rational function for sign changes at these blocking zeros. Results for the scalar as also multivariable cases are presented and a systematic procedure for designing the stabilizing controller is also outlined. The proposed theory is applicable to a wider class of systems than those for which existing methods can be used. There are a few matrix identities established in this paper which are of independent interest in Control Theory.},
author = {Baksi, Dibyendu, Patel, V. V., Datta, Kanti B., Ray, G. D.},
journal = {Kybernetika},
keywords = {decentralized stabilization; large scale system; bi-coprime factorized plant; control theory; decentralized stabilization; large scale system; bi-coprime factorized plant; control theory},
language = {eng},
number = {2},
pages = {[235]-253},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Decentralized stabilization and strong stabilization of a bicoprime factorized plant},
url = {http://eudml.org/doc/33425},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Baksi, Dibyendu
AU - Patel, V. V.
AU - Datta, Kanti B.
AU - Ray, G. D.
TI - Decentralized stabilization and strong stabilization of a bicoprime factorized plant
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 2
SP - [235]
EP - 253
AB - In this paper, a necessary and sufficient condition for decentralized stabilizability for expanding construction of large scale systems is established which involves the computation of blocking zeros and testing a rational function for sign changes at these blocking zeros. Results for the scalar as also multivariable cases are presented and a systematic procedure for designing the stabilizing controller is also outlined. The proposed theory is applicable to a wider class of systems than those for which existing methods can be used. There are a few matrix identities established in this paper which are of independent interest in Control Theory.
LA - eng
KW - decentralized stabilization; large scale system; bi-coprime factorized plant; control theory; decentralized stabilization; large scale system; bi-coprime factorized plant; control theory
UR - http://eudml.org/doc/33425
ER -

References

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  3. Francis B. A., A Course in H ∞ Control Theory, Springer–Verlag, Berlin 1987 
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  6. Saeks R., DeCarlo R. A., Interconnected Dynamical Systems, Marcel Dekker, New York 1981 
  7. Siljak D. D., Large Scale Dynamic Systems: Stability and Structure, North Holland, New York 1978 Zbl0384.93002MR0595867
  8. Tan X. L., Ikeda M., 10.1109/9.53543, IEEE Trans. Automat. Control 35 (1990), 644–651 (1990) Zbl0800.93065MR1055494DOI10.1109/9.53543
  9. Vidyasagar M., Control System Synthesis: A Factorization Approach, MIT Press, Cambridge, MA 1985 Zbl0655.93001MR0787045
  10. Youla D. C., Bongiorno J. J., Lu C. N., 10.1016/0005-1098(74)90021-1, Automatica 10 (1974), 155–173 (1974) Zbl0276.93036MR0490293DOI10.1016/0005-1098(74)90021-1

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