Abstract
This paper presents a structure determination method of a GADALINE based neural network used for linear system identification and parameter estimation. In GADALINE linear system identification, the past input data are used as its input and the past output data are also used as its input in the form of feedback because in such a linear system, the current system output is dependent on past outputs and on both the current and past inputs. The structure determination is then to determine how many past inputs should be included as its input and how many past output should be fed-back as its input also. The measured data set can then be used to train the GADALINE and during training, the performance error can be used to determine the network structure in our method just as the Final Prediction Error used in Akaike’s criterion. One advantage of the method is its simplicity. Simulation results show that the proposed method provides satisfactory performance.
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References
Akaike, H.: A New Look at the Statistical model identification. IEEE Trans. On Automatic Control 19, 716–723 (1974)
Atencia, M., Sandoval, G.: Gray Box Identification with Hopfield Neural Networks. Revista Investigacion Operacional 25(1), 54–60 (2004)
Bhama, S., Singh, H.: Single Layer Neural Network for Linear System Identification Using Gradient Descent Technique. IEEE Trans. on Neural Networks 4(5), 884–888 (1993)
Chu, S.R., Shoureshi, R., Tenorio, M.: Neural networks for system identification. IEEE Control Systems Magazine, 31–34, April 1990
Haykin, S.: Neural Networks, A Comprehensive Foundation, 2nd edn. Prentice Hall (1999)
Hopfield, J.: Neural networks and physical systems with emergent collective computational abilities. Proc. Nat’l. Acad. Sci. USA 79, 2554–2558 (1982)
Ljung, L.: System Identification - Theory for the User, 2nd edn. Prentice-Hall (1999)
Mehrotra, K., Mohan, C., Ranka, S.: Elements of Artificial Neural Networks. MIT press (1997)
Narendra, K.S., Parthasarathy, K.: Identification and Control of Dynamical Systems using Neural Networks. IEEE Transactions on Neural Networks 1, 1–27 (1990)
Qin, S.Z., Su, H.T., McAvoy, T.J.: Comparison of four neural net learning methods for dynamic system identification. IEEE Trans. on Neural Networks 2, 52–262 (1992)
Rumelhart, D.E., Hinton, G.E., Williams, R.J., Learning internal representations by error propagation. In: Parallel Distributed Processing: Explorations in the Microstructure of Cognition, vol. I. MIT Press, Cambridge (1986b)
Sjöberg, J., Hjalmerson, H., Ljung, L.: Neural Networks in System Identification. In: Preprints 10th IFAC symposium on SYSID, vol. 2, Copenhagen, Denmark, pp. 49–71 (1994)
Söderström, T., Stoica, P.: System Identification. Prentice Hall, Englewood Cliffs (1989)
Valverde, R.: Dynamic systems identification using RBF neural networks. Universidad Carlos III de Madrid. Technical report (1999)
Wellstead, P.E.: An Instrumental Product Moment Test for Model Order Estimation. Automatica 14, 89–91 (1978)
Widrow, B., Lehr, M.A.: 30 years of Adaptive Neural Networks: Perceptron, Madaline, and Backpropagation. Proc. IEEE 78(9), 1415–1442 (1990)
Woodside, C.M.: Estimation of the Order of Linear Systems. Automatica 7, 727–733 (1971)
Zhang, W.: System Identification Based on a Generalized ADALINE Neural Network. Proc. 2007 ACC, New York City, pp. 4792–4797 (2007)
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© 2015 Springer International Publishing Switzerland
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Zhang, W. (2015). Structure Determination of a Generalized ADALINE Neural Network for Application in System Identification of Linear Systems. In: Tan, Y., Shi, Y., Buarque, F., Gelbukh, A., Das, S., Engelbrecht, A. (eds) Advances in Swarm and Computational Intelligence. ICSI 2015. Lecture Notes in Computer Science(), vol 9142. Springer, Cham. https://doi.org/10.1007/978-3-319-20469-7_3
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DOI: https://doi.org/10.1007/978-3-319-20469-7_3
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