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In relation to this article, we declare that there is no conflict of interest.
Publication history
Received November 19, 2010
Accepted April 29, 2011
articles 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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