Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: Existence and approximation

Michael A. Demetriou; Azmy S. Ackleh; Simeon Reich

Kybernetika (2000)

  • Volume: 36, Issue: 1, page [117]-132
  • ISSN: 0023-5954

Abstract

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The purpose of this note is to investigate the existence of solutions to a class of second order distributed parameter systems with sudden changes in the input term. The class of distributed parameter systems under study is often encountered in flexible structures and structure-fluid interaction systems that use smart actuators. A failure in the actuator is modeled as either an abrupt or an incipient change of the actuator map whose magnitude is a function of the measurable output. A Galerkin-based finite approximation for the adaptive diagnostic observer and its on-line approximator is proposed in order to facilitate the numerical implementation of the aforementioned diagnostic observer.

How to cite

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Demetriou, Michael A., Ackleh, Azmy S., and Reich, Simeon. "Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: Existence and approximation." Kybernetika 36.1 (2000): [117]-132. <http://eudml.org/doc/33473>.

@article{Demetriou2000,
abstract = {The purpose of this note is to investigate the existence of solutions to a class of second order distributed parameter systems with sudden changes in the input term. The class of distributed parameter systems under study is often encountered in flexible structures and structure-fluid interaction systems that use smart actuators. A failure in the actuator is modeled as either an abrupt or an incipient change of the actuator map whose magnitude is a function of the measurable output. A Galerkin-based finite approximation for the adaptive diagnostic observer and its on-line approximator is proposed in order to facilitate the numerical implementation of the aforementioned diagnostic observer.},
author = {Demetriou, Michael A., Ackleh, Azmy S., Reich, Simeon},
journal = {Kybernetika},
keywords = {second order distributed parameter system},
language = {eng},
number = {1},
pages = {[117]-132},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: Existence and approximation},
url = {http://eudml.org/doc/33473},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Demetriou, Michael A.
AU - Ackleh, Azmy S.
AU - Reich, Simeon
TI - Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: Existence and approximation
JO - Kybernetika
PY - 2000
PB - Institute of Information Theory and Automation AS CR
VL - 36
IS - 1
SP - [117]
EP - 132
AB - The purpose of this note is to investigate the existence of solutions to a class of second order distributed parameter systems with sudden changes in the input term. The class of distributed parameter systems under study is often encountered in flexible structures and structure-fluid interaction systems that use smart actuators. A failure in the actuator is modeled as either an abrupt or an incipient change of the actuator map whose magnitude is a function of the measurable output. A Galerkin-based finite approximation for the adaptive diagnostic observer and its on-line approximator is proposed in order to facilitate the numerical implementation of the aforementioned diagnostic observer.
LA - eng
KW - second order distributed parameter system
UR - http://eudml.org/doc/33473
ER -

References

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  2. Banks H. T., Gilliam D. S., Shubov V. I., Well–posedness for a one dimensional nonlinear beam, In: Computation and Control, IV (Bozeman, MT, 1994), Progr. Systems Control Theory, vol. 20, Boston, MA, 1995, Birkhäuser Boston, pp. 1–21 (1994) MR1349580
  3. Banks H. T., Gilliam D. S., Shubov V. I., Global solvability for damped abstract nonlinear hyperbolic systems, Differential Integral Equations 10 (1997), 309–332 (1997) Zbl0892.47063MR1424814
  4. Banks H. T., Smith R. C., Wang Y., Smart Material Structures: Modeling, Estimation and Control, Wiley–Masson, New York 1996 Zbl0882.93001
  5. Baumeister J., Scondo W., Demetriou M. A., Rosen I. G., 10.1137/S0363012994270928, SIAM J. Control Optim. 3 (1997), 678–713 (1997) Zbl0873.93026MR1436645DOI10.1137/S0363012994270928
  6. Demetriou M. A., Polycarpou M. M., Fault accommodation of output–induced actuator failures for a flexible beam with collocated input and output, In: Proceedings of the 5th IEEE Mediterranean Conference on Control and Systems, Phaethon Beach Hotel, Paphos, Cyprus 1997 
  7. Demetriou M. A., Polycarpou M. M., Fault diagnosis of output–induced actuator failures for a flexible beam with collocated input and output, In: Proceedings of the IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes: SAFEPROCESS’97, University of Hull, United Kingdom 1997 
  8. Dosch J., Inman D. J., Garcia E., 10.1177/1045389X9200300109, Journal of Intelligent Material Systems and Structures 3 (1992), 166–185 (1992) DOI10.1177/1045389X9200300109
  9. Polycarpou M. M., Helmicki A. J., 10.1109/21.467710, IEEE Trans. Systems Man Cybernet. 25 (1995), 1447–1458 (1995) DOI10.1109/21.467710

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