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A Training Algorithm for Locally Recurrent NN Based on Explicit Gradient of Error in Fault Detection Problems

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 311))

Abstract

In this work a diagnostic approach for nonlinear systems is presented. The diagnosis is performed resorting to a neural predictor of the output of the system, and by using the error prediction as a feature for the diagnosis. A locally recurrent neural network is used as predictor, after it has been trained on a reference behavior of the system. In order to model the system under test a novel training algorithm that uses an explicit calculation of the cost function gradient is proposed. The residuals of the prediction are affected by the deviation of the parameters from their nominal values. In this way, by a simple statistical analysis of the residuals, we can perform a diagnosis of the system. The Rössler hyperchaotic system is used as benchmark problem in order to validate the diagnostic neural approach proposed.

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References

  1. Isermann, R.: Fault diagnosis of machines via parameter estimation and knowledge processing. Automatica 29, 815–835 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  2. Chen, J., Patton, R.J.: Robust model-based fault diagnosis for dynamic systems. Kluwer Academic Publishers, Boston (1999)

    Book  MATH  Google Scholar 

  3. Isermann, R., Balle, P.: Trends in the application of model-based fault detection and diagnosis of technical processes. Control Engineering Practice 5, 709–719 (1997)

    Article  Google Scholar 

  4. Korbicz, J., Koscielny, J.M., Kowalczuk, Z., Cholewa, W.: Fault Diagnosis. Models, Artificial Intelligence, Applications. Springer, Berlin (2004)

    MATH  Google Scholar 

  5. Patton, R.J., Korbicz, J.: Advances in Computational Intelligence for Fault Diagnosis Systems. International Journal of Applied Mathematics and Computer Science 9, 468–735 (1999)

    Google Scholar 

  6. Nelles, O.: Nonlinear System Identification. From Classical Approaches to Neural Networks and Fuzzy Models. Springer, Berlin (2001)

    Book  MATH  Google Scholar 

  7. Tsoi, A.C., Back, A.D.: Locally Recurrent Globally Feedforward Networks: A Critical Review of Architectures. IEEE Transactions on Neural Networks 5, 229–239 (1994)

    Article  Google Scholar 

  8. Chang, L.C., Chang, F.J., Chiang, Y.M.: A two-step-ahead recurrent neural network for stream-flow forecasting. Hydrological Processes 18, 81–92 (2004)

    Article  Google Scholar 

  9. Zio, E., Di Maio, F., Stasi, M.: A data-driven approach for predicting failure scenarios in nuclear systems. Annals of Nuclear Energy 37, 482–491 (2010)

    Article  Google Scholar 

  10. Campolucci, P., Uncini, A., Piazza, F., Rao, B.D.: Online learning algorithms for locally recurrent neural networks. IEEE Transactions on Neural Networks 10, 253–271 (1999)

    Article  Google Scholar 

  11. Boi, P., Montisci, A.: A Neural Based Approach and Probability Density Approximation for Fault Detection and Isolation in Nonlinear Systems. In: Iliadis, L., Jayne, C. (eds.) EANN/AIAI 2011, Part I. IFIP AICT, vol. 363, pp. 296–305. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  12. Cannas, B., Cincotti, S., Marchesi, M., Pilo, F.: Learning of Chua’s circuit attractors by locally recurrent neural networks. Chaos, Solitons and Fractals 12, 2109–2115 (2001)

    Article  MATH  Google Scholar 

  13. Peng, C.C., Magoulas, G.D.: Nonmonotone BFGS-trained recurrent neural networks for temporal sequence processing. Applied Mathematics and Computation 217, 5421–5441 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  14. Patan, K.: Stability Analysis and the Stabilization of a Class of Discrete-Time Dynamic Neural Networks. IEEE Transactions on Neural Networks 18, 660–673 (2007)

    Article  Google Scholar 

  15. Rössler, O.E.: An equation for hyperchaos. Physics Letters A 71, 155–157 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  16. Wang, G.Y., Zhang, X., Zheng, Y., Li, Y.X.: A new modified hyperchaotic Lü system. Physica A 371, 260–272 (2006)

    Article  MathSciNet  Google Scholar 

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Carcangiu, S., Montisci, A., Boi, P. (2012). A Training Algorithm for Locally Recurrent NN Based on Explicit Gradient of Error in Fault Detection Problems. In: Jayne, C., Yue, S., Iliadis, L. (eds) Engineering Applications of Neural Networks. EANN 2012. Communications in Computer and Information Science, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32909-8_13

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  • DOI: https://doi.org/10.1007/978-3-642-32909-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32908-1

  • Online ISBN: 978-3-642-32909-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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