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Received November 19, 2007
Accepted September 3, 2008
- This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Iterative identification of temperature dynamics in single wafer rapid thermal processing
Department of Chemical Engineering, University of Texas, Austin, TX78712, U.S.A., USA 1Department of Chemical Engineering, Kyungpook National University, Daegu 702-701, Korea
jtlee@knu.ac.kr
Korean Journal of Chemical Engineering, March 2009, 26(2), 307-312(6), 10.1007/s11814-009-0053-6
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Abstract
As the standard size of silicon wafers grows and performance specifications of integrated circuits become more demanding, a better control system to improve the processing time, uniformity and repeatability in rapid thermal processing (RTP) is needed. Identification and control are complicated because of nonlinearity, drift and the time-varying nature of the wafer dynamics. Various physical models for RTP are available. For control system design they can be_x000D_
approximated by diagonal nonlinear first order dynamics with multivariable static gains. However, these model structures of RTP have not been exploited for identification and control. Here, an identification method that iteratively updates the multivariable static gains is proposed. It simplifies the identification procedure and improves the accuracy of the identified model, especially the static gains, whose accurate identification is very important for better control.
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References
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Choi JY, Do HM, IEEE Trans. Semiconductor Manufacturing, 14, 1 (2001)
Cho M, Lee Y, Joo S, Lee KS, IEEE Trans. Semiconductor Manufacturing, 18, 430 (2005)
Choi JY, Do HM, Choi HS, IEEE Trans. Semiconductor Manufacturing, 16, 621 (2003)
Balakrishnan KS, Edgar TF, Thin Solid Films, 365(2), 322 (2000)
Dassau E, Grosman B, Lewin DR, Comput. Chem. Eng., 30(4), 686 (2006)
Huang CJ, Yu CC, Shen SH, Automatica, 36(5), 705 (2000)
Schaper CD, Cho YM, Kailath T, Appl. Phys. A, 54, 317 (1992)
Kersch A, Schafbaur T, Thin Solid Films, 365(2), 307 (2000)
Kim SJ, Cho YM, Control Engineering Practice, 10, 1199 (2003)
Cho W, Edgar TF, Lee J, Ind. Eng. Chem. Research, 47, 4791 (2008)
Lee J, Cho WH, Edgar TF, Ind. Eng. Chem. Res., 37(3), 1018 (1998)
Cho W, Temperature control and modeling of the rapid thermal processing chamber, PhD Dissertation, University of Texas at Austin (2005)
Lee KS, Lee J, Chin I, Choi J, Lee JH, Ind. Eng. Chem. Res., 40(7), 1661 (2001)
Campbell SA, Ahn KH, Knutson KL, Liu BYH, Leighton JD, IEEE Trans. Semiconductor Manufacturing, 4, 14 (1991)
Cho WH, Edgar TF, Lee JT, Korean J. Chem. Eng., 23(2), 171 (2006)