Abstract
This paper presents an application of the Levenberg-Marquardt algorithm to on-line modelling of a variant system. Because there is no iterative version of the Levenberg-Marquardt algorithm, a batch version is used with a double sliding window and Early Stopping to produce models of a system whose poles change during operation. The models are used in a Internal Model Controller to control the system which is held functioning in the initial phase by a PI controller.
An erratum to this chapter can be found at http://dx.doi.org/10.1007/11550907_163 .
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References
Levenberg, K.: A method for the solution of certain problems in least squares. Quart. Appl. Math. 2, 164–168 (1944)
Marquardt, D.: An algorithm for least -squares estimation of nonlinear parameters. SIAM J. Appl. Math. 11, 431–441 (1963)
Nørgaard, M., Ravn, O., Poulsen, N.K., Hansen, L.K.: Neural Networks for Modelling and Control of Dynamic Systems. Springer, Heidelberg (2000)
Ngia, L.S.H.: System Modeling Using Basis Functions and Application to Echo Cancelation, Ph.D. thesis, Department of Signals and Systems School of Electrical and Computer Engineering, Chalmers University of Technology (2000)
Ferreira, P., Faria, E., Ruano, A.: Neural network models in greenhouse air temperature prediction. Neurocomputing 43(1-4), 51–75 (2002)
Morgan, N., Bourlard, H.: Generalization and parameter estimation in feedforward nets: Some experiments. In: Touretzsky, D. (ed.) Advances in Neural Information Processing Systems, pp. 630–637. Morgan Kaufmann, San Francisco (1990)
Sjöberg, J.: Non-Linear System Identification with Neural Networks, Ph.D. thesis, Dept. of Electrical Engineering, Linköping University, Suécia (1995)
Dias, F.M., Antunes, A., Mota, A.: A new hybrid direct/specialized approach for generating inverse neural models. WSEAS Transactions on Systems 3(4), 1521–1529 (2004)
Nørgaard, M.: Neural network based system identification toolbox for use with matlab, version 1.1, technical report, Tech. Rep., Technical University of Denmark (1996)
Nørgaard, M.: Neural network based control system design toolkit for use with matlab, version 1.1, technical report. Tech. Rep., Technical University of Denmark (1996)
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Dias, F.M., Antunes, A., Vieira, J., Mota, A.M. (2005). Using the Levenberg-Marquardt for On-line Training of a Variant System. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550907_57
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DOI: https://doi.org/10.1007/11550907_57
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