Robust pole placement for second-order systems: an LMI approach

Didier Henrion; Michael Šebek; Vladimír Kučera

Kybernetika (2005)

  • Volume: 41, Issue: 1, page [1]-14
  • ISSN: 0023-5954

Abstract

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Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is described to perform robust pole placement by proportional-derivative feedback on second-order linear systems affected by polytopic or norm-bounded uncertainty. As illustrated by several numerical examples, at the core of the approach is the choice of a nominal, or central quadratic polynomial matrix.

How to cite

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Henrion, Didier, Šebek, Michael, and Kučera, Vladimír. "Robust pole placement for second-order systems: an LMI approach." Kybernetika 41.1 (2005): [1]-14. <http://eudml.org/doc/33735>.

@article{Henrion2005,
abstract = {Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is described to perform robust pole placement by proportional-derivative feedback on second-order linear systems affected by polytopic or norm-bounded uncertainty. As illustrated by several numerical examples, at the core of the approach is the choice of a nominal, or central quadratic polynomial matrix.},
author = {Henrion, Didier, Šebek, Michael, Kučera, Vladimír},
journal = {Kybernetika},
keywords = {polynomial matrix; second-order linear systems; LMI; pole placement; robust control; polynomial matrix; second-order linear system; LMI; pole placement; robust control},
language = {eng},
number = {1},
pages = {[1]-14},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust pole placement for second-order systems: an LMI approach},
url = {http://eudml.org/doc/33735},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Henrion, Didier
AU - Šebek, Michael
AU - Kučera, Vladimír
TI - Robust pole placement for second-order systems: an LMI approach
JO - Kybernetika
PY - 2005
PB - Institute of Information Theory and Automation AS CR
VL - 41
IS - 1
SP - [1]
EP - 14
AB - Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is described to perform robust pole placement by proportional-derivative feedback on second-order linear systems affected by polytopic or norm-bounded uncertainty. As illustrated by several numerical examples, at the core of the approach is the choice of a nominal, or central quadratic polynomial matrix.
LA - eng
KW - polynomial matrix; second-order linear systems; LMI; pole placement; robust control; polynomial matrix; second-order linear system; LMI; pole placement; robust control
UR - http://eudml.org/doc/33735
ER -

References

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