On the observability of fuzzy second order control systems

Jong Yeoul Park; P. Balasubramaniam; Hyun Min Kim

Kybernetika (2003)

  • Volume: 39, Issue: 4, page [493]-506
  • ISSN: 0023-5954

Abstract

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In this paper, the observability of fuzzy logic second order control system is studied from the aspect of fuzzy differential equations. The fuzzy observability in the weak sense is created using the concept of “likelihood” to indicate on which level and along which solution the state is most likely observable. One of the initial state range has been derived with the given input and output. The result generalizes the previous results.

How to cite

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Park, Jong Yeoul, Balasubramaniam, P., and Kim, Hyun Min. "On the observability of fuzzy second order control systems." Kybernetika 39.4 (2003): [493]-506. <http://eudml.org/doc/33659>.

@article{Park2003,
abstract = {In this paper, the observability of fuzzy logic second order control system is studied from the aspect of fuzzy differential equations. The fuzzy observability in the weak sense is created using the concept of “likelihood” to indicate on which level and along which solution the state is most likely observable. One of the initial state range has been derived with the given input and output. The result generalizes the previous results.},
author = {Park, Jong Yeoul, Balasubramaniam, P., Kim, Hyun Min},
journal = {Kybernetika},
keywords = {fuzzy differential equation; second order control system; fuzzy solution; likelihood; fuzzy differential equation; second order control system; fuzzy solution; likelihood},
language = {eng},
number = {4},
pages = {[493]-506},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the observability of fuzzy second order control systems},
url = {http://eudml.org/doc/33659},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Park, Jong Yeoul
AU - Balasubramaniam, P.
AU - Kim, Hyun Min
TI - On the observability of fuzzy second order control systems
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 4
SP - [493]
EP - 506
AB - In this paper, the observability of fuzzy logic second order control system is studied from the aspect of fuzzy differential equations. The fuzzy observability in the weak sense is created using the concept of “likelihood” to indicate on which level and along which solution the state is most likely observable. One of the initial state range has been derived with the given input and output. The result generalizes the previous results.
LA - eng
KW - fuzzy differential equation; second order control system; fuzzy solution; likelihood; fuzzy differential equation; second order control system; fuzzy solution; likelihood
UR - http://eudml.org/doc/33659
ER -

References

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  1. Balasubramaniam P., Park J. Y., Controllability for the nonlinear fuzzy neutral Volterra integrodifferential equations, Preprint 
  2. Bressan A., 10.1016/0022-0396(90)90113-4, J. Differential Equations 88 (1990), 155–174 (1990) Zbl0736.34013MR1079863DOI10.1016/0022-0396(90)90113-4
  3. Cesari L., Optimization – Theory and Application, Springer, Berlin 1983 MR0688142
  4. Ding Z., Ma, M., Kandel A., On the observability of fuzzy dynamical system (I), Fuzzy Sets and Systems 88 (1990), 155–174 (1990) 
  5. Dunford N., Schwartz J. T., Linear Operators, Part I, Wiley, New York – London 1958 Zbl0635.47001MR1009162
  6. Györi I., Wu J., 10.1007/BF01047711, J. Dynamics Differential Equations 3 (1991), 289–311 (1991) Zbl0729.34061MR1109438DOI10.1007/BF01047711
  7. Kaleva O., 10.1016/0165-0114(87)90029-7, Fuzzy Sets and Systems 24 (1987), 301–317 (1987) Zbl0646.34019MR0919058DOI10.1016/0165-0114(87)90029-7
  8. Seikkala S., 10.1016/0165-0114(87)90030-3, Fuzzy Sets and Systems 24 (1987), 319–330 (1987) Zbl0643.34005MR0919059DOI10.1016/0165-0114(87)90030-3

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