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Language: English

Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received April 2, 2008
Accepted June 30, 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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Enhanced frequency response estimator to guarantee pre-specified phase angle and static disturbance rejection with all harmonics removed

Su Whan Sung Jietae Lee^†

Department of Chemical Engineering, Kyungpook National University, 1370 Sankyeok-dong, Buk-gu, Daegu 702-701, Korea

jtlee@knu.ac.kr

Korean Journal of Chemical Engineering, November 2008, 25(6), 1273-1278(6), 10.1007/s11814-008-0209-9

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Abstract

We propose a new frequency response estimation method in order to guarantee a pre-specified phase angle of the estimated model under static disturbance circumstances with rejecting harmonics completely. The proposed method uses one cycle of the conventional relay feedback signal followed by a sinusoidal signal. The sinusoidal signal in a cyclic steady state has no harmonics, resulting in exact frequency response estimates. Also, it guarantees the pre-specified phase angle and removes the effects of static disturbances by adjusting the reference value of the sinusoidal signal.

Keywords

Relay Feedback Frequency Phase Angle Sine Signal Disturbance Harmonics

References

Astrom KJ, Hagglund T, Automatica, 20, 645 (1984)
Hang CC, Astrom KJ, Wang QG, J. Process Control, 12(1), 143 (2002)
Shen SH, Wu JS, Yu CC, AIChE J., 42(4), 1174 (1996)
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)
Tan KK, Lee TH, Huang S, Chua KY, Ferdous R, J. Process Control, 16(5), 445 (2006)
Lee TH, Wang QG, Tan KK, IEEE Transactions on Control Systems Technology, 3, 330 (1995)
Crowe J, Johnson MA, Grimble MJ, European Control Conference, 1-4 September (2003)
Crowe J, Johnson, IEE Proceedings-Control Theory and Application, 147, 196 (2000)
Kim YH, J. Chem. Eng. Jpn., 28(1), 118 (1995)
Tan KK, Lee TH, Wang QG, AIChE J., 42(9), 2555 (1996)
Chiang R, Yu C, Industrial & Engineering Chemistry Research, 32, 90 (1993)
Friman M, Waller KV, Ind. Eng. Chem. Res., 36(7), 2662 (1997)
Hang CC, Astrom KJ, Ho WK, Automatica, 29, 563 (1993)
Park JH, Sung SW, Lee IB, Automatica, 33(4), 711 (1997)
Park JH, Sung SW, Lee IB, Automatica, 34(6), 751 (1998)
Shen SH, Wu JS, Yu CC, Ind. Eng. Chem. Res., 35(5), 1642 (1996)
Sung SW, Lee J, Automatica, 42(2), 353 (2006)
Sung SW, Lee J, Lee DH, Han JH, Park YS, Ind. Eng. Chem. Res., 45(12), 4071 (2006)
Sung SW, Lee J, Ind. Eng. Chem. Res., 45(12), 4028 (2006)
Atherton DP, Nonlinear control engineering, Van Nostrand Reinhold, London (1975)