Abstract
This paper presents a new methodology of designing of non-linear dynamic neural model in the state-space representation. Furthermore, an application of the Unscented Kalman Filter to the training of the designed neural model is also shown. The final part of this work provides an illustrative example of the application of the proposed methodology to the identification and robust fault detection of the tunnel furnace.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ding, S.: Model-based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools. Springer, Heidelberg (2008)
Korbicz, J., Kościelny, J.: Modeling, Diagnostics and Process Control: Implementation in the DiaSter System. Springer, Berlin (2010)
Mrugalski, M., Witczak, M.: State-space gmdh neural networks for actuator robust fault diagnosis. Advances in Electrical and Computer Engineering 12(3), 65–72 (2012)
Niemann, H.: A model-based approach to fault-tolerant control. International Journal of Applied Mathematics and Computer Science 22(1), 67–86 (2012)
Noura, H., Theilliol, D., Ponsart, J.C., Chamseddine, A.: Fault-tolerant Control Systems: Design and Practical Applications. Springer, London (2009)
Pedro, J., Dahunsi, O.: Neural network based feedback linearization control of a servo-hydraulic vehicle suspension system. International Journal of Applied Mathematics and Computer Science 21, 137–147 (2011)
Mrugalski, M., Witczak, M., Korbicz, J.: Confidence estimation of the multi-layer perceptron and its application in fault detection systems. Engineering Applications of Artificial Intelligence 21(6), 895–906 (2008)
Mrugalski, M.: An unscented kalman filter in designing dynamic gmdh neural networks for robust fault detection. International Journal of Applied Mathematics and Computer Science 23(1), 157–169 (2013)
Witczak, M., Korbicz, J., Mrugalski, M., Patton, R.J.: A gmdh neural network based approach to robust fault detection and its application to solve the damadics benchmark problem. Control Engineering Practice 14(6), 671–683 (2006)
Patan, K., Witczak, M., Korbicz, J.: Towards robustness in neural network based fault diagnosis. International Journal of Applied Mathematics and Computer Science 18(4), 443–454 (2008)
Korbicz, J., Mrugalski, M.: Confidence estimation of gmdh neural networks and its application in fault detection system. International Journal of System Science 39(8), 783–800 (2008)
Ivakhnenko, A.G., Mueller, J.A.: Self-organization of nets of active neurons. System Analysis Modelling Simulation 20, 93–106 (1995)
Mrugalski, M., Arinton, E., Korbicz, J.: Dynamic gmdh type neural networks. In: Neural Networks and Soft Computing: Proceedings of the Sixth International Conference. Advances in Soft Computing, pp. 698–703. Springer-Verlag Company, New York (2003) ISBN: 3-7908-0005-8
Mrugalski, M., Korbicz, J.: Least mean square vs. Outer bounding ellipsoid algorithm in confidence estimation of the GMDH neural networks. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds.) ICANNGA 2007, Part II. LNCS, vol. 4432, pp. 19–26. Springer, Heidelberg (2007)
Teixeira, B., Torres, L., Aguirre, L., Bernstein, D.: On unscented kalman filtering with state interval constraints. Journal of Process Control 20(1), 45–57 (2010)
Mueller, J., Lemke, F.: Self-organising Data Mining. Libri, Hamburg (2000)
Julier, S., Uhlmann, J.: Unscented filtering and nonlinear estimation. Proceedings of the IEEE 92(3), 401–422 (2004)
Lee, T., Jiang, Z.: On uniform global asymptotic stability of nonlinear discrete-time systems with applications. IEEE Trans. Automatic Control 51(10), 1644–1660 (2006)
Walter, E., Pronzato, L.: Identification of Parametric Models from Experimental Data. Springer, Berlin (1997)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mrugalski, M. (2013). Designing of State-Space Neural Model and Its Application to Robust Fault Detection. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2013. Lecture Notes in Computer Science(), vol 7894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38658-9_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-38658-9_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38657-2
Online ISBN: 978-3-642-38658-9
eBook Packages: Computer ScienceComputer Science (R0)