An observability problem for a class of uncertain-parameter linear dynamic systems

Krzysztof Oprzędkiewicz

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 3, page 331-338
  • ISSN: 1641-876X

Abstract

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An observability problem for a class of linear, uncertain-parameter, time-invariant dynamic SISO systems is discussed. The class of systems under consideration is described by a finite dimensional state-space equation with an interval diagonal state matrix, known control and output matrices and a two-dimensional uncertain parameter space. For the system considered a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum is the base for defining observability and non-observability areas for the discussed system. The duality principle allows us to test observablity using controllability criteria. For the uncertain-parameter system considered, some controllability criteria presented in the author's previous papers are used. The results are illustrated with numerical examples.

How to cite

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Oprzędkiewicz, Krzysztof. "An observability problem for a class of uncertain-parameter linear dynamic systems." International Journal of Applied Mathematics and Computer Science 15.3 (2005): 331-338. <http://eudml.org/doc/207747>.

@article{Oprzędkiewicz2005,
abstract = {An observability problem for a class of linear, uncertain-parameter, time-invariant dynamic SISO systems is discussed. The class of systems under consideration is described by a finite dimensional state-space equation with an interval diagonal state matrix, known control and output matrices and a two-dimensional uncertain parameter space. For the system considered a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum is the base for defining observability and non-observability areas for the discussed system. The duality principle allows us to test observablity using controllability criteria. For the uncertain-parameter system considered, some controllability criteria presented in the author's previous papers are used. The results are illustrated with numerical examples.},
author = {Oprzędkiewicz, Krzysztof},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {linear uncertain-parameter dynamic systems; observability},
language = {eng},
number = {3},
pages = {331-338},
title = {An observability problem for a class of uncertain-parameter linear dynamic systems},
url = {http://eudml.org/doc/207747},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Oprzędkiewicz, Krzysztof
TI - An observability problem for a class of uncertain-parameter linear dynamic systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 3
SP - 331
EP - 338
AB - An observability problem for a class of linear, uncertain-parameter, time-invariant dynamic SISO systems is discussed. The class of systems under consideration is described by a finite dimensional state-space equation with an interval diagonal state matrix, known control and output matrices and a two-dimensional uncertain parameter space. For the system considered a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum is the base for defining observability and non-observability areas for the discussed system. The duality principle allows us to test observablity using controllability criteria. For the uncertain-parameter system considered, some controllability criteria presented in the author's previous papers are used. The results are illustrated with numerical examples.
LA - eng
KW - linear uncertain-parameter dynamic systems; observability
UR - http://eudml.org/doc/207747
ER -

References

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  14. Oprzędkiewicz K. (2003): The interval parabolic system. - Arch. Contr. Sci., Vol. 13, No. 4, pp. 391-405. Zbl1151.93368
  15. Oprzędkiewicz K. (2004): A controllability problem for a class of uncertain-parameters linear dynamic systems. - Arch. Contr. Sci., Vol. 14 (L), No. 1, pp. 85-100. Zbl1151.93317

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