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

Michael A. Demetriou; Marios M. Polycarpou

Kybernetika (1998)

  • Volume: 34, Issue: 6, page [667]-679
  • ISSN: 0023-5954

Abstract

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In this note, we employ nonlinear on-line parameter estimation methods based on adaptive neural network approximators for detecting changes due to actuator faults in a class of second order distributed parameter systems. The motivating example is a cantilevered beam actuated via a pair of piezoceramic patches. We examine changes in the control input term, which provide a simple and practical model of actuator failures. Using Lyapunov redesign methods, a stable learning scheme for fault diagnosis is proposed. The resulting fault diagnosis scheme is utilized for control reconfiguration in order to accommodate the system’s actuator failure. A numerical algorithm is provided for the implementation of the detection and accommodation scheme and simulation studies are used to illustrate the applicability of the theoretical results.

How to cite

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Demetriou, Michael A., and Polycarpou, Marios M.. "Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: stability and adaptation." Kybernetika 34.6 (1998): [667]-679. <http://eudml.org/doc/33397>.

@article{Demetriou1998,
abstract = {In this note, we employ nonlinear on-line parameter estimation methods based on adaptive neural network approximators for detecting changes due to actuator faults in a class of second order distributed parameter systems. The motivating example is a cantilevered beam actuated via a pair of piezoceramic patches. We examine changes in the control input term, which provide a simple and practical model of actuator failures. Using Lyapunov redesign methods, a stable learning scheme for fault diagnosis is proposed. The resulting fault diagnosis scheme is utilized for control reconfiguration in order to accommodate the system’s actuator failure. A numerical algorithm is provided for the implementation of the detection and accommodation scheme and simulation studies are used to illustrate the applicability of the theoretical results.},
author = {Demetriou, Michael A., Polycarpou, Marios M.},
journal = {Kybernetika},
keywords = {nonlinear estimator; fault detection; Lyapunov redesign methods; nonlinear estimator; fault detection; Lyapunov redesign methods},
language = {eng},
number = {6},
pages = {[667]-679},
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: stability and adaptation},
url = {http://eudml.org/doc/33397},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Demetriou, Michael A.
AU - Polycarpou, Marios M.
TI - Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: stability and adaptation
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 6
SP - [667]
EP - 679
AB - In this note, we employ nonlinear on-line parameter estimation methods based on adaptive neural network approximators for detecting changes due to actuator faults in a class of second order distributed parameter systems. The motivating example is a cantilevered beam actuated via a pair of piezoceramic patches. We examine changes in the control input term, which provide a simple and practical model of actuator failures. Using Lyapunov redesign methods, a stable learning scheme for fault diagnosis is proposed. The resulting fault diagnosis scheme is utilized for control reconfiguration in order to accommodate the system’s actuator failure. A numerical algorithm is provided for the implementation of the detection and accommodation scheme and simulation studies are used to illustrate the applicability of the theoretical results.
LA - eng
KW - nonlinear estimator; fault detection; Lyapunov redesign methods; nonlinear estimator; fault detection; Lyapunov redesign methods
UR - http://eudml.org/doc/33397
ER -

References

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  1. Ackleh A., Demetriou M. A., Reich S., Detection and accommodatrion of second order distributed parameter systems with abrupt changes in input term: Existence and approximation, In: Proc. 6th IEEE Mediterranean Conference on Control and Systems, Sardinia 1998 
  2. Banks H. T., Smith C., Wang Y., Smart Material Structures: Modeling, Estimation and Control, Wiley–Masson, New York 1996 Zbl0882.93001
  3. Baumeister J., Scondo W., Demetriou M. A., Rosen I. G., 10.1137/S0363012994270928, SIAM J. Control Optim. 3 (1997), 2, 678–713 (1997) Zbl0873.93026MR1436645DOI10.1137/S0363012994270928
  4. Demetriou M. A., Polycarpou M. M., Fault detection and diagnosis of a flexible beam, In: Proc. 4th IEEE Mediterranean Symposium on Control and Automation, Chania 1997 
  5. Demetriou M. A., Polycarpou M. M., Fault accommodation of output–induced actuator failures for a flexible beam with collocated input and output, In: Proc. 5th IEEE Mediterranean Conference on Control and Systems, Cyprus 1997 
  6. Demetriou M. A., Polycarpou M. M., Incipient fault diagnosis of dynamical systems using on–line approximators, to appea 
  7. Demetriou M. A., Rosen I. G., 10.1088/0266-5611/10/2/006, Inverse Problems 10 (1994), 261–294 (1994) MR1269008DOI10.1088/0266-5611/10/2/006
  8. Frank P., 10.1016/0005-1098(90)90018-D, Automatica 26 (1990), 459–474 (1990) Zbl0713.93052DOI10.1016/0005-1098(90)90018-D
  9. Gertler J. J., 10.1109/37.9163, IEEE Trans. Control, Syst. Manag. 8 (1988), 3–11 (1988) DOI10.1109/37.9163
  10. Ioannou P. A., Sun J., Robust Adaptive Control, Prentice Hall, Englewood Cliffs, N. J. 1995 Zbl0839.93002
  11. Isermann R., 10.1016/0005-1098(84)90098-0, Automatica 20 (1984), 387–404 (1984) DOI10.1016/0005-1098(84)90098-0
  12. Khalil H. K., Nonlinear Systems, MacMillan, New York 1992 Zbl1140.93456MR1201326
  13. Parisini T., Polycarpou M. M., Sanguineti M., Vemuri A. T., Robust parametric and non–parametric fault diagnosis in nonlinear input–output systems, In: Proc. 36th IEEE Conf. Decision and Control (CDC’97), 1997, pp. 4481–4482 (1997) 
  14. Polycarpou M. M., Helmicki A. J., 10.1109/21.467710, IEEE Trans. Systems Man Cybernet. 25 (1995), 1447–1458 (1995) DOI10.1109/21.467710
  15. Polycarpou M. M., Trunov A. B., Detectability performance properties of learning–based nonlinear fault diagnosis, In: Proc. 37th IEEE Conf. Decision and Control (CDC’98), to appear 
  16. Vemuri A. T., Polycarpou M. M., On–line approximation based methods for robust fault detection, In: Proceedings of the 13th IFAC World Congress, San Francisco 1996, pp. 319–324 (1996) 
  17. Vemuri A. T., Polycarpou M. M., 10.1080/002071797223659, Internat. J. Control 68 (1997), 343–360 (1997) Zbl0887.93022MR1690679DOI10.1080/002071797223659
  18. Willsky A. S., 10.1016/0005-1098(76)90041-8, Automatica 12 (1976), 601–611 (1976) Zbl0345.93067MR0434578DOI10.1016/0005-1098(76)90041-8
  19. Wloka J., Partial Differential Equations, Cambridge University Press, Cambridge 1987 Zbl0623.35006MR0895589

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