Sum-of-squares based observer design for polynomial systems with a known fixed time delay

Branislav Rehák

Kybernetika (2015)

  • Volume: 51, Issue: 5, page 856-873
  • ISSN: 0023-5954

Abstract

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An observer for a system with polynomial nonlinearities is designed. The system is assumed to exhibit a time delay whose value is supposed to be constant and known. The design is carried out using the sum-of-squares method. The key point is defining a suitable Lyapunov-Krasovskii functional. The resulting observer is in form of a polynomial in the observable variables. The results are illustrated by two examples.

How to cite

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Rehák, Branislav. "Sum-of-squares based observer design for polynomial systems with a known fixed time delay." Kybernetika 51.5 (2015): 856-873. <http://eudml.org/doc/276224>.

@article{Rehák2015,
abstract = {An observer for a system with polynomial nonlinearities is designed. The system is assumed to exhibit a time delay whose value is supposed to be constant and known. The design is carried out using the sum-of-squares method. The key point is defining a suitable Lyapunov-Krasovskii functional. The resulting observer is in form of a polynomial in the observable variables. The results are illustrated by two examples.},
author = {Rehák, Branislav},
journal = {Kybernetika},
keywords = {sum-of-squares polynomial; observer; polynomial system},
language = {eng},
number = {5},
pages = {856-873},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Sum-of-squares based observer design for polynomial systems with a known fixed time delay},
url = {http://eudml.org/doc/276224},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Rehák, Branislav
TI - Sum-of-squares based observer design for polynomial systems with a known fixed time delay
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 5
SP - 856
EP - 873
AB - An observer for a system with polynomial nonlinearities is designed. The system is assumed to exhibit a time delay whose value is supposed to be constant and known. The design is carried out using the sum-of-squares method. The key point is defining a suitable Lyapunov-Krasovskii functional. The resulting observer is in form of a polynomial in the observable variables. The results are illustrated by two examples.
LA - eng
KW - sum-of-squares polynomial; observer; polynomial system
UR - http://eudml.org/doc/276224
ER -

References

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