Title:
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Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: stability and adaptation (English) |
Author:
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Demetriou, Michael A. |
Author:
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Polycarpou, Marios M. |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 |
Volume:
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34 |
Issue:
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6 |
Year:
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1998 |
Pages:
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[667]-679 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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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. (English) |
Keyword:
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nonlinear estimator |
Keyword:
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fault detection |
Keyword:
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Lyapunov redesign methods |
MSC:
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65K10 |
MSC:
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93C10 |
MSC:
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93C40 |
MSC:
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93E10 |
MSC:
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93E12 |
idZBL:
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Zbl 1274.93145 |
idMR:
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MR1695370 |
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Date available:
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2009-09-24T19:21:39Z |
Last updated:
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2015-03-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/135253 |
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Reference:
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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 |
Reference:
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[2] Banks H. T., Smith C., Wang Y.: Smart Material Structures: Modeling, Estimation and Control.Wiley–Masson, New York 1996 Zbl 0882.93001 |
Reference:
|
[3] Baumeister J., Scondo W., Demetriou M. A., Rosen I. G.: On–line parameter estimation for infinite dimensional dynamical systems.SIAM J. Control Optim. 3 (1997), 2, 678–713 Zbl 0873.93026, MR 1436645, 10.1137/S0363012994270928 |
Reference:
|
[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 |
Reference:
|
[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 |
Reference:
|
[6] Demetriou M. A., Polycarpou M. M.: Incipient fault diagnosis of dynamical systems using on–line approximators, to appea. |
Reference:
|
[7] Demetriou M. A., Rosen I. G.: Adaptive identification of second–order distributed parameter systems.Inverse Problems 10 (1994), 261–294 MR 1269008, 10.1088/0266-5611/10/2/006 |
Reference:
|
[8] Frank P.: Fault diagnosis in dynamic systems using analytical and knowledge–based redundancy – a survey and some new results.Automatica 26 (1990), 459–474 Zbl 0713.93052, 10.1016/0005-1098(90)90018-D |
Reference:
|
[9] Gertler J. J.: Survey of model–based failure detection and isolation in complex plants.IEEE Trans. Control, Syst. Manag. 8 (1988), 3–11 10.1109/37.9163 |
Reference:
|
[10] Ioannou P. A., Sun J.: Robust Adaptive Control.Prentice Hall, Englewood Cliffs, N. J. 1995 Zbl 0839.93002 |
Reference:
|
[11] Isermann R.: Process fault detection based on modelling and estimation methods: a survey.Automatica 20 (1984), 387–404 10.1016/0005-1098(84)90098-0 |
Reference:
|
[12] Khalil H. K.: Nonlinear Systems.MacMillan, New York 1992 Zbl 1140.93456, MR 1201326 |
Reference:
|
[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 |
Reference:
|
[14] Polycarpou M. M., Helmicki A. J.: Automated fault detection and accommodation: a learning systems approach.IEEE Trans. Systems Man Cybernet. 25 (1995), 1447–1458 10.1109/21.467710 |
Reference:
|
[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 |
Reference:
|
[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 |
Reference:
|
[17] Vemuri A. T., Polycarpou M. M.: Robust nonlinear fault diagnosis in input–output systems.Internat. J. Control 68 (1997), 343–360 Zbl 0887.93022, MR 1690679, 10.1080/002071797223659 |
Reference:
|
[18] Willsky A. S.: A survey of design methods for failure detection in dynamic systems.Automatica 12 (1976), 601–611 Zbl 0345.93067, MR 0434578, 10.1016/0005-1098(76)90041-8 |
Reference:
|
[19] Wloka J.: Partial Differential Equations.Cambridge University Press, Cambridge 1987 Zbl 0623.35006, MR 0895589 |
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