Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: stability and adaptation
Kybernetika, Tome 34 (1998) no. 6, pp. 667-679 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 65K10, 93C10, 93C40, 93E10, 93E12
Keywords: nonlinear estimator; fault detection; Lyapunov redesign methods
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     author = {Demetriou, Michael A. and Polycarpou, Marios M.},
     title = {Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: stability and adaptation},
     journal = {Kybernetika},
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     year = {1998},
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     url = {http://geodesic.mathdoc.fr/item/KYB_1998_34_6_a5/}
}
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Demetriou, Michael A.; Polycarpou, Marios M. Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: stability and adaptation. Kybernetika, Tome 34 (1998) no. 6, pp. 667-679. http://geodesic.mathdoc.fr/item/KYB_1998_34_6_a5/

[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 | Zbl

[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 | DOI | MR | Zbl

[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.: Adaptive identification of second–order distributed parameter systems. Inverse Problems 10 (1994), 261–294 | DOI | MR

[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 | DOI | Zbl

[9] Gertler J. J.: Survey of model–based failure detection and isolation in complex plants. IEEE Trans. Control, Syst. Manag. 8 (1988), 3–11 | DOI

[10] Ioannou P. A., Sun J.: Robust Adaptive Control. Prentice Hall, Englewood Cliffs, N. J. 1995 | Zbl

[11] Isermann R.: Process fault detection based on modelling and estimation methods: a survey. Automatica 20 (1984), 387–404 | DOI

[12] Khalil H. K.: Nonlinear Systems. MacMillan, New York 1992 | MR | Zbl

[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

[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 | DOI

[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

[17] Vemuri A. T., Polycarpou M. M.: Robust nonlinear fault diagnosis in input–output systems. Internat. J. Control 68 (1997), 343–360 | DOI | MR | Zbl

[18] Willsky A. S.: A survey of design methods for failure detection in dynamic systems. Automatica 12 (1976), 601–611 | DOI | MR | Zbl

[19] Wloka J.: Partial Differential Equations. Cambridge University Press, Cambridge 1987 | MR | Zbl