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Received November 19, 2010
Accepted April 29, 2011
- 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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Fractional order integrator for the relay feedback identification of a process Nyquist point in the third quadrant
Department of Chemical Engineering, Kyungpook National University, Daegu 702-701, Korea
jtlee@knu.ac.kr
Korean Journal of Chemical Engineering, December 2011, 28(12), 2227-2229(3), 10.1007/s11814-011-0118-1
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Abstract
A fractional order integrator can be used for the relay feedback identification of a process Nyquist point in the third quadrant, and to implement the fractional order integrator, it is often approximated by integer order systems. Here, instead of the usual rational transfer function approximation of the fractional order integrator in the relay feedback system, a simple analytic method which utilizes the on-off characteristics of relay output is proposed. Simulation results show that the proposed method can find process Nyquist points in the third quadrant without worrying about the approximation errors and ranges of the fraction order integrator.
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References
Astrom KJ, Hagglund T, Automatica., 20, 645 (1984)
Cao JY, Cao BG, International J. Control, Automation, and Systems., 4, 775 (2006)
Charef A, Sun HH, Tsao YY, Onaral B, IEEE Trans. Automatic Control., 37, 1465 (1992)
Friman M, Waller KV, Ind. Eng. Chem. Res., 36(7), 2662 (1997)
Yu CC, Autotuning of PID controllers: A relay feedback approach, Springer, London (2006)
Jiri M, Martin C, Milos S, Process Control 2008, Jun. 9-12,Czech Republic (2008)
Kreyszig E, Advanced engineering mathematics, Wiley, New York (1999)
Lee J, Sung SW, Edgar TF, AIChE J., 53(9), 2329 (2007)
Monje CA, Vinagre BM, Feliu V, Chen YQ, Control Engineering Practice., 16, 798 (2008)
Podlubny I, Fractional differential equations, Academic Press, San Diego (1999)
Tavazoei MS, Haeri M, Automatica, 46(1), 94 (2010)
Byeon J, Kim JS, Sung SW, Ryoo W, Lee J, Korean J. Chem. Eng., 28(2), 342 (2011)
Cao JY, Cao BG, International J. Control, Automation, and Systems., 4, 775 (2006)
Charef A, Sun HH, Tsao YY, Onaral B, IEEE Trans. Automatic Control., 37, 1465 (1992)
Friman M, Waller KV, Ind. Eng. Chem. Res., 36(7), 2662 (1997)
Yu CC, Autotuning of PID controllers: A relay feedback approach, Springer, London (2006)
Jiri M, Martin C, Milos S, Process Control 2008, Jun. 9-12,Czech Republic (2008)
Kreyszig E, Advanced engineering mathematics, Wiley, New York (1999)
Lee J, Sung SW, Edgar TF, AIChE J., 53(9), 2329 (2007)
Monje CA, Vinagre BM, Feliu V, Chen YQ, Control Engineering Practice., 16, 798 (2008)
Podlubny I, Fractional differential equations, Academic Press, San Diego (1999)
Tavazoei MS, Haeri M, Automatica, 46(1), 94 (2010)
Byeon J, Kim JS, Sung SW, Ryoo W, Lee J, Korean J. Chem. Eng., 28(2), 342 (2011)