Ahn, S., 2005, “Modeling, Estimation, and Control of Electroslag Remelting Process,” Ph.D. thesis, University of Texas at Austin, Austin, TX.
Melgaard, D. K., Williamson, R. L., and Beaman, J. J., 1998, “Controlling Remelting Processes for Superalloys and Aerospace Ti Alloys,” JOM, 50 , pp. 13–17.
[CrossRef]Beaman, J. J., Ahn, S., Tetzlaff, D. A., Van Den Avyle, J., and Melgaard, D. K., 1999, “Modeling and Control of the Electroslag Remelting Process,” "Proceedings of the Researcher’s Conference", Amarillo National Resource Center for Plutonium, pp. 65–67.
Williamson, R. L., Beaman, J. J., Melgaard, D. K., Shelmidine, G. J., Tubesing, P. K., and Aikin, R. M., 2001, “Dynamic Melt Rate Control on a Laboratory Scale VAR Furnace Without Load Cell Feedback,” "Proceedings of the International Symposium on Liquid Metal Processing and Casting", Santa Fe, NM, pp. 175–186.
Beaman, J. J., Williamson, R. L., and Melgaard, D. K., 2001, “A Nonlinear Reduced Order Model for Dynamic VAR Melt Rate Control,” "Proceedings of the International Symposium on Liquid Metal Processing and Casting", Santa Fe, NM, pp. 161–174.
Melgaard, D. K., and Shelmidine, G. J., 2001, “Electroslag Remelting Immersion Depth Control Using Characteristic Voltage Signatures,” "Proceedings of the International Symposium on Liquid Metal Processing and Casting", Santa Fe, NM, pp. 148–160.
Beaman, J. J., Williamson, R. L., Melgaard, D. K., Shelmidine, G. J., and Hamel, J. C., 2003, “Model Based Gap and Melt Rate Control for VAR of Ti-6Al-4V,” "Proceedings of the International Symposium on Liquid Metal Processing and Casting", Nancy, France, pp. 67–76.
Gelb, A., 1974, "Applied Optimal Estimation", MIT, Cambridge, MA.
Jazwinski, A. H., 1970, "Stochastic Processes and Filtering Theory", Academic, New York.
Maybeck, P. S., 1994, "Stochastic Models, Estimation, and Control. Mathematics in Science and Engineering", Vol. 2 , Navtech Books & Software, Springfield, VA.
Julier, S. J., Uhlmann, J., and Durrant-Whyte, H., 1995, “A New Approach for Filtering Nonlinear Systems,” "Proceedings of the American Control Conference", pp. 1628–1632.
Julier, S. J., and Uhlmann, J. K., 2004, “Unscented Filtering and Nonlinear Estimation,” Proceedings of the IEEE, 92 (3), pp. 401–422.
[CrossRef]Campbell, M. E., and Brunke, S., 2001, “Nonlinear Estimation of Aircraft Models for On-Line Control Customization,” "Proceedings of the IEEE Aerospace Conference", Vol. 2 , pp. 2621–2628.
Julier, S. J., and Uhlmann, J. K., 1997, “A New Extension of the Kalman Filter to Nonlinear Systems,” Proceedings of the SPIE, 3068 , pp. 182–193.
[CrossRef]Wan, E., and van der Merwe, R., 2001, “Kalman Filtering and Neural Networks,” "The Unscented Kalman Filter", S.Haykin, ed., Wiley, New York, Chap. 7.
Tetzlaff, D. A., 2000, “Understanding the Physical Phenomena in the Electro Slag Remelting Process,” MS thesis, University of Texas at Austin, Austin, TX.
Duckworth, W. E., and Hoyle, G., 1969, "Electroslag Refining", Chapman and Hall Ltd., London.
Hoyle, G., 1983, "Electroslag Process", Applied Science Publishers, Essex, England.
Ohmura, T., Wakabayashi, M., and Hosoda, T., 1983, “A Heat Transfer Analysis of ESR Process,” "Proceedings of the Fifth Annual ESR Symposium Conference".
Vujanović, B. D., and Jones, S. E., 1990, “Approximate Solutions of Canonical Heat Conduction Equations,” ASME J. Heat Transfer, 112 , pp. 836–842.
[CrossRef]Zien, T., 1976, “Approximate Calculation of Transient Heat Conduction,” AIAA J., 14 (3), pp. 404–406.
[CrossRef]Zien, T., 1978, “Integral Solutions of Ablation Problems With Time-Dependant Heat,” AIAA J., 16 (12), pp. 1287–1295.
[CrossRef]Beaman, J. J., Williamson, R. L., Melgaard, D. K., and Hamel, J., 2005, “A Nonlinear Reduced Order Model for Estimation and Control of Vacuum Arc Remelting of Metal Alloys,” "Proceedings of the IMECE", Orlando, FL.
Julier, S. J., and Uhlmann, J. K., 1996, “A General Method for Approximating Non-Linear Transformations of Probability Distributions,” Technical Report, Department of Engineering Science, University of Oxford (see also URL
http://citeseer.nj.nec.com/julier96general.html).
van der Merwe, R., 2004, “Sigma-Point Kalman Filters for Probabilistic Inference in Dynamic State-Space Models,” Ph.D. thesis, Oregon Health and Science University, OR.
Williamson, R. L., Beaman, J. J., Melgaard, D. K., Shelmidine, G. J., Patel, A. D., and Adasczik, C. B., 2003, “A Demonstration of Melt Rate Control During VAR of “Cracked” Electrodes,” "Proceedings of the International Symposium on Liquid Metal Processing and Casting", Nancy, France, pp. 29–38.