Mathematical Modeling and Robust Control for Beam Reheating Furnace

Article Preview

Abstract:

According to the large beam reheating furnace widely used in metallurgy area, the mathematical model was built basing on the heat transfer. Considering the uncertain and nonlinear characteristics existing in the system, the robust stabilization problem of the system is investigated basing on Lyapunov stability theory and linear matrix inequality (LMI) method. The robust controller is designed. A numerical example and its simulation results are given.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

209-214

Citation:

Online since:

August 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] H. yun, S.K. Jung, S.K. Tae, Modeling and Predictive Control of a Reheating Furnace,. Proceedings of American Control Conference, Chicago, 2000: 2725-272.

Google Scholar

[2] A. Timothy, V. eslocki. Development and verification of a slab reheating furnace mathematical model, Iorn & Steel Engineer, 19 82, 59(4) : 46 -51.

Google Scholar

[3] M. Sugeno, Y. asukawa, A Fuzzy-logic-based Approach to Qualitative Modeling,. IEEE Trans. on Fuzzy Systems, 1993, vol. 1(1): 7- 31.

Google Scholar

[4] Y. C. Tian and CH. H. Hou, Mathematically Modeling for the Annealing Furnace of Continuous Hot Galvanizing, Energ. for Metal. Ind., vol. 14, no. 3, May. 1995, pp.38-41.

Google Scholar

[5] Y. CH. Tian and CH. H. Hou, Modeling the continuous Annealing Process of Hot Dip Galvanizing for Cold Rolled Steel Strip, Contr. Theory and Appl., vol. 12, no. 4, pp.459-464, Aug. (1995).

Google Scholar

[6] L. Y. Hu and X. C. Wang, Mathematical Model Building and Optimization Control of Horizontal Continuous Heat Treatment Furnace, The 10th World Con. on Intelligent Contr. and Auto., Pecking, 2012, pp.2412-2416.

DOI: 10.1109/wcica.2012.6358277

Google Scholar

[7] G. Dd. Zong, L. L. Hou and H. Y. Yang, Further Results Concerning Delay-Dependent H∞ Control for Uncertain Discrete-Time Systems with Time-Varying Delay, Mathematical Problems in Engineering. 2009, pp.1-24.

DOI: 10.1155/2009/732181

Google Scholar

[8] H. OuYang, Robust stabilization for a class of uncertain nonlinear systems: LMI approach, Acta Scientiarum Naturalium Universitatis Pekinensis, vol. 40, no. 5, pp.722-727, May. (2004).

Google Scholar

[9] M. Wu, Y. He, and J. H. She, Stability Analysis and Robust Control of Time-delay Systems. Beijing: Science press, 2009, pp.1-38.

Google Scholar

[10] K. Gu, V. L. Kharitonov and J. Chen, Stability of Time-delay System, Boston: Birkhauser, 2003, pp.110-139.

Google Scholar