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Received January 27, 2011
Accepted April 22, 2011
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Process identification method using relay feedback and backward integrals
Department of Chemical Engineering, Kyungpook National University, 1370 Sankyeok-dong, Buk-gu, Daegu 702-701, Korea
suwhansung@knu.ac.kr
Korean Journal of Chemical Engineering, November 2011, 28(11), 2116-2121(6), 10.1007/s11814-011-0105-6
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Abstract
We propose a new process identification method that combines the two methods of the relay feedback to activate the process and the backward integrals to estimate the model parameters. Novel deviation variables are introduced to incorporate the case that the initial part of the process is unsteady-state without sacrificing the dynamic information included in the initial part, while the previous approaches assign zero-weighting to the initial parts, resulting in loss of the dynamic information included in the initial part. The final cyclic-steady-state part of the process input and output data is chosen as the reference of the deviation variables. The proposed method can estimate the model parameters analytically by using the backward integrals and the least squares method.
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References
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Eitelberg E, Int. J. Control., 47, 1207 (1988)
Sung SW, Lee IB, Lee J, Automatica, 34(4), 513 (1998)
Sung SW, Lee I, Lee B, Chem. Eng. Sci., 53, 1849 (1998)
Hang CC, Astrom KJ, Wang QG, J. Process Control, 12(1), 143 (2002)
Sung SW, Lee JT, Chem. Eng. Sci., 59(7), 1515 (2004)
Sung SW, Park JH, Lee IB, Ind. Eng. Chem. Res., 34(11), 4133 (1995)
Shen SH, Yu HD, Yu CC, Chem. Eng. Sci., 51(8), 1187 (1996)
Friman M, Waller KV, Ind. Eng. Chem. Res., 36(7), 2662 (1997)
Park JH, Sung SW, Lee IB, Automatica, 33(4), 711 (1997)
Shen SH, Wu JS, Yu CC, Ind. Eng. Chem. Res., 35(5), 1642 (1996)
Sung SW, Lee J, Ind. Eng. Chem. Res., 45(12), 4028 (2006)
Sung SW, Lee J, Lee DH, Han JH, Park YS, Ind. Eng. Chem. Res., 45(12), 4071 (2006)
Sung SW, Lee J, Automatica, 42(2), 353 (2006)
Sung SW, Lee IB, Ind. Eng. Chem. Res., 40(24), 5743 (2001)
Sung SW, Lee SY, Kwak HJ, Lee IB, Ind. Eng. Chem. Res., 40(13), 2886 (2001)
Sung SW, Lee J, Lee I, Process identification and PID control, John Wiley & Sons, Singapore (2009)
Sung SW, Lee IB, Ind. Eng. Chem. Res., 36(12), 5526 (1997)
Sung SW, Lee IB, Chem. Eng. Sci., 55(10), 1883 (2000)
Cheon YJ, Jeon CH, Lee J, Sung SW, Lee DH, AIChE J., 56(6), 1536 (2010)
Rao GP, Palanisamy KR, IEE Proc. Control Theory Appl., 130, 9 (1983)
Cheng B, Hsu N, Int. J. Control., 36, 53 (1982)
Hwang C, Guo T, Int. J. Control., 39, 807 (1984)
Mathew AV, Fairman FW, IEEE Trans. Circuits and Systems., CAS-21, 584 (1974)
Whitfield AH, Messali N, Int. J. Control., 45, 1431 (1987)
Sagara S, Zhao Z, Int. J. Control., 50, 457 (1989)
Eitelberg E, Int. J. Control., 47, 1207 (1988)
Sung SW, Lee IB, Lee J, Automatica, 34(4), 513 (1998)
Sung SW, Lee I, Lee B, Chem. Eng. Sci., 53, 1849 (1998)
