Modeling of Distributed Parameter Processes with Neural Networks

Article Preview

Abstract:

In this paper an original solution for the modeling of distributed parameter processes using neural networks is presented. The proposed method represents a particular alternative to a very accurate modeling-simulation method for this kind of processes, the method based on the matrix of partial derivatives of the state vector (Mpdx), associated with Taylor series. In order to compare the performances generated by the two methods, a distributed parameter thermal process associated to a rotary hearth furnace (R.H.F) from the technological flow of producing seamless steel pipes is considered. The main similarities and differences between the two methods are highlighted in the paper. The treated solution represents a premise for the usage of the neural networks in the automatic control of the distributed parameter processes domain.

You might also be interested in these eBooks

Info:

* - Corresponding Author

[1] V. Mureşan and M. Abrudean: Temperature Modelling and Simulation in the Furnace with Rotary Hearth, Proceedings of 2010 IEEE AQTR 2010–17th edition, Cluj-Napoca, Romania, May 28-30, 2010, pp.147-152.

DOI: 10.1109/aqtr.2010.5520900

Google Scholar

[2] H. -X. Li and C. Qi: Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems: A Time/Space Separation Based Approach, 1st Edition, edited by Springer Publishing House, 2011, pg. 194.

Google Scholar

[3] M. Krstic: Systematization of approaches to adaptive boundary control of PDEs, Int. Journal of Robust and Nonlinear Control, vol. 16 (2006), pp.801-818.

DOI: 10.1002/rnc.1098

Google Scholar

[4] R.F. Curtain and K.A. Morris: Transfer Functions of Distributed Parameter Systems, Automatica, 45, 5 (2009), pp.1101-1116.

DOI: 10.1016/j.automatica.2009.01.008

Google Scholar

[5] T. Coloşi, M. Abrudean, M. -L. Ungureşan and V. Mureşan: Numerical Simulation Method for Distributed Parameters Processes, edited by Springer Publishing House, 2013, pg. 343.

DOI: 10.3182/20130522-3-ro-4035.00004

Google Scholar

[6] S. Haykin: Neural Networks and Learning Machines, Third Edition, edited by Pearson International Edition, 2009, pg. 934.

Google Scholar

[7] H. Valean: Neural Network for System Identification and Modelling, Proc. of A'96-Theta 10 Automatic Control and Testing Conference, Cluj-Napoca, Romania, 23-24 May, 1996, pp.263-268.

Google Scholar

[8] R.V. Borges: Learning and Representing Temporal Knowledge in Recurrent Networks, IEEE Transactions on Neural Networks, Vol. 22, Issue 12 (2011), p.2409 – 2421.

DOI: 10.1109/tnn.2011.2170180

Google Scholar

[9] H. Valean, A. Astilean and T. Letia: Neural Supervisory for an Electrocorundum Furnace, Proc. of the 7th International Conference on Optimization of Electrical and Electronic Equipment OPTIM 2000, vol. III, Brasov, Romania, May 11-12, 2000, pp.645-650.

Google Scholar

[10] User Guide, Matlab 7. 5. 0 (R2007b).

Google Scholar

[11] F. Golnaraghi and B. C. Kuo: Automatic Control Systems, 9th edition, edited by Wiley Publishing House, 2009, pg. 800.

Google Scholar

[12] J. Love: Process Automation Handbook, 1 edition, edited by Springer Publishing House, 2007, pg. 1200.

Google Scholar