Rank-one LMI approach to robust stability of polynomial matrices

Didier Henrion; Kenji Sugimoto; Michael Šebek

Kybernetika (2002)

  • Volume: 38, Issue: 5, page [643]-656
  • ISSN: 0023-5954

Abstract

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Necessary and sufficient conditions are formulated for checking robust stability of an uncertain polynomial matrix. Various stability regions and uncertainty models are handled in a unified way. The conditions, stemming from a general optimization methodology similar to the one used in μ -analysis, are expressed as a rank-one LMI, a non-convex problem frequently arising in robust control. Convex relaxations of the problem yield tractable sufficient LMI conditions for robust stability of uncertain polynomial matrices.

How to cite

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Henrion, Didier, Sugimoto, Kenji, and Šebek, Michael. "Rank-one LMI approach to robust stability of polynomial matrices." Kybernetika 38.5 (2002): [643]-656. <http://eudml.org/doc/33610>.

@article{Henrion2002,
abstract = {Necessary and sufficient conditions are formulated for checking robust stability of an uncertain polynomial matrix. Various stability regions and uncertainty models are handled in a unified way. The conditions, stemming from a general optimization methodology similar to the one used in $\mu $-analysis, are expressed as a rank-one LMI, a non-convex problem frequently arising in robust control. Convex relaxations of the problem yield tractable sufficient LMI conditions for robust stability of uncertain polynomial matrices.},
author = {Henrion, Didier, Sugimoto, Kenji, Šebek, Michael},
journal = {Kybernetika},
keywords = {linear matrix inequality; stability; linear matrix inequality; stability},
language = {eng},
number = {5},
pages = {[643]-656},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Rank-one LMI approach to robust stability of polynomial matrices},
url = {http://eudml.org/doc/33610},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Henrion, Didier
AU - Sugimoto, Kenji
AU - Šebek, Michael
TI - Rank-one LMI approach to robust stability of polynomial matrices
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 5
SP - [643]
EP - 656
AB - Necessary and sufficient conditions are formulated for checking robust stability of an uncertain polynomial matrix. Various stability regions and uncertainty models are handled in a unified way. The conditions, stemming from a general optimization methodology similar to the one used in $\mu $-analysis, are expressed as a rank-one LMI, a non-convex problem frequently arising in robust control. Convex relaxations of the problem yield tractable sufficient LMI conditions for robust stability of uncertain polynomial matrices.
LA - eng
KW - linear matrix inequality; stability; linear matrix inequality; stability
UR - http://eudml.org/doc/33610
ER -

References

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